12.) Executives at Sale Mart Supermarket claim that a typical family of four spends $200 weekly on routine, non-holiday, grocery purchases. According to published industry standards, the population standard deviation is $25.
Stella, 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 $205. 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 the5%level of significance. What conclusion should Stella draw, based on the available evidence?
How does the right-tailed p-valuecompare 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, (or). The p-value is greater than or exceeds the level of significance, (or). The p-value is equal to the level of significance, (0')- It cannot be determined at this time if the p-value is less than, greater than or equal to the level of significance, (a) \\ 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. K 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. \\ It is unreasonable to claim that the mean amount of food purchased is $200, 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 $200. based on the available evidence (sample size of 64) and testing at the 5% level of significance. K It is highly unreasonable to claim that the mean amount of food purchased is $200, 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 $200. based on the available evidence (sample size of 64) and testing at the 5% level of significance. K It is marginally reasonable to claim that the mean amount of food purchased is $200, 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 $200, based on the available evidence (sample size of 64) and testing at the 5% level of significance