1 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? This is an example of statistical inference, namely hypothesis testing. Agree or Disagree? Agree Disagree QUESTION 2 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? This is an example of a one-tail right-tail hypothesis test. Agree or disagree? Agree Disagree QUESTION 3 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? The appropriate probability distribution and test statistic for this inference is the z or standard normal primarily because the population standard deviation is known and secondarily because it involves a large sample. Agree or disagree? Agree Disagree QUESTION 4 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? The appropriate test statistic is calculated as follows: z equals fraction numerator top enclose x minus mu over denominator begin display style bevelled fraction numerator sigma over denominator square root of n end fraction end style end fraction Agree or disagree? Agree Disagree QUESTION 5 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? What is the value of the test statistic, expressed without insignificant digits? QUESTION 6 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? What are the hypotheses? open curly brackets table attributes columnalign left end attributes row cell H subscript 0 colon mu equals 250 end cell row cell H subscript 1 colon mu not equal to 250 end cell end table close open curly brackets table attributes columnalign left end attributes row cell H subscript 0 colon mu equals 250 end cell row cell H subscript 1 colon mu less than 250 end cell end table close open curly brackets table attributes columnalign left end attributes row cell H subscript 0 colon mu equals 250 end cell row cell H subscript 1 colon mu greater than 250 end cell end table close open curly brackets table attributes columnalign left end attributes row cell H subscript 0 colon mu equals 250 end cell row cell H subscript 1 colon mu equals 255 end cell end table close QUESTION 7 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? FALSE or TRUE: The statistical function that yields the right-tail critical value can be written as follows in response to the left-tail orientation of the software: =NORM.S.INV(100%-5%) True False QUESTION 8 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? What is the critical value, rounded to three decimal places and expressed without insignificant digits? QUESTION 9 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? How does the test statistic compare against the critical value in the right tail under the standard normal graph? The test statistic is less than or does not exceed the critical value. The test statistic is greater than or exceeds the critical value. The test statistic is equal to the critical value. It cannot be determined at this time if the test statistic is less than, greater than or equal to the critical value. QUESTION 10 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? FALSE or TRUE: The statistical function that yields the right-tailed p-value can be written as follows: =1-NORM.S.DIST(1.6,TRUE) True False QUESTION 11 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? What is the p-value, expressed as a percentage rounded to two decimal places without insignificant digits? QUESTION 12 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? How does the right-tailed p-value compare against the level of significance, alpha, under the standard normal graph? The p-value is less than or does not exceed the level of significance, open parentheses alpha close parentheses. The p-value is greater than or exceeds the level of significance, open parentheses alpha close parentheses. The p-value is equal to the level of significance, open parentheses alpha close parentheses. It cannot be determined at this time if the p-value is less than, greater than or equal to the level of significance, open parentheses alpha close parentheses QUESTION 13 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? What two-tailed confidence level corresponds to a one-sided significance level of 5%? QUESTION 14 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? FALSE or TRUE: The software function that could assist with computing the bounds of the confidence interval in this particular case (adjusted to two tails from one) would be as follows: =CONFIDENCE.NORM(10%,25,64) True False QUESTION 15 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? FALSE or TRUE: The lower bound of an adjusted 90% confidence interval (with a bogus left tail) can be determined as follows: top enclose x minus z subscript bevelled alpha over 2 end subscript fraction numerator sigma over denominator square root of n end fraction or top enclose x space minus space 1.645 fraction numerator sigma over denominator square root of n end fraction with the critical value z-score substituted into it. True False QUESTION 16 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? What is the lower bound of the confidence interval, expressed to two decimal places without insignificant digits? QUESTION 17 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? The upper bound of an adjusted 90% confidence interval (with a bogus left tail) can be determined as follows: top enclose x plus z subscript bevelled alpha over 2 end subscript fraction numerator sigma over denominator square root of n end fraction or top enclose x space plus 1.645 fraction numerator sigma over denominator square root of n end fraction with the critical value z-score substituted into it. Agree or disagree? Agree Disagree QUESTION 18 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? What is the upper bound of the confidence interval, expressed to two decimal places without insignificant digits? QUESTION 19 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? The hypothesized value of $250 falls within the lower and upper bounds of the corresponding confidence interval for this context. Agree or disagree? Agree Disagree QUESTION 20 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? What is the technical conclusion to this statistical inference (hypothesis testing)? Reject the null hypothesis based on the available evidence (sample size of 64) and testing at the 5% level of significance. Marginally reject the null hypothesis based on the available evidence (sample size of 64) and testing at the 5% level of significance. Highly reject the null hypothesis based on the available evidence (sample size of 64) and testing at the 5% level of significance. Fail to reject the null hypothesis based on the available evidence (sample size of 64) and testing at the 5% level of significance. Marginally fail to reject the null hypothesis based on the available evidence (sample size of 64) and testing at the 5% level of significance. Highly fail to reject the null hypothesis based on the available evidence (sample size of 64) and testing at the 5% level of significance. QUESTION 21 Executives at Mega Mart Supermarket claim that a typical family of four spends $250 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25. Meghan, a stats intern at the chain's corporate headquarters, wonders if that original claim by the executives seems too low. As a project, she collects from store sales receipts a simple random sample (SRS) of size 64. The sample mean for the weekly grocery purchases for a family of four is $255. She is defining as rare, or unusually high, any sample mean that is in the top 5% of all possible sample means; hence, she is testing at the 5% level of significance. What conclusion should Meghan draw, based on the available evidence? What is the contextual conclusion to this statistical inference (hypothesis testing)? It is unreasonable to claim that the mean amount of food purchased is $250, based on the available evidence (sample size of 64) and testing at the 5% level of significance. It is marginally unreasonable to claim that the mean amount of food purchased is $250, based on the available evidence (sample size of 64) and testing at the 5% level of significance. It is highly unreasonable to claim that the mean amount of food purchased is $250, based on the available evidence (sample size of 64) and testing at the 5% level of significance. It is reasonable to claim that the mean amount of food purchased is $250, based on the available evidence (sample size of 64) and testing at the 5% level of significance. It is marginally reasonable to claim that the mean amount of food purchased is $250, based on the available evidence (sample size of 64) and testing at the 5% level of significance. It is highly reasonable to claim that the mean amount of food purchased is $250, based on the available evidence (sample size of 64) and testing at the 5% level of significance