1.0 Points Question 1 of 20 In an article appearing in Today's Health a writer states that the average number of calories in a serving of popcorn is 75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7. At the = .05 level of significance, does the nutritionist have enough evidence to reject the writer's claim? A.Cannot Determine B.No C.Yes Reset Selection Question 2 of 20 Which of the following values is not typically used for 1.0 Points ? A.0.1 0 B.0.5 0 C.0.0 1 D.0.0 5 Reset Selection 1.0 Points Question 3 of 20 You conduct a hypothesis test and you observe values for the sample mean and sample standard deviation when n = 25 that do not lead to the rejection of H 0. You calculate a p- value of 0.0667. What will happen to the p-value if you observe the same sample mean and standard deviation for a sample size larger than 25? A.The p - value may increase or decrease B.The p - value stays the same C.The p - value increases D.The p - value decreases Reset Selection Question 4 of 20 1.0 Points Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance. What is your conclusion? A.Cannot determine B.Reject H0. There is enough evidence to support the claim that the proportion of students planning to go to college is now greater than .79. C.More seniors are going to college D.Do not reject H0. There is not enough evidence to support the claim that the proportion of students planning to go to college is greater than .79. Reset Selection Question 5 of 20 1.0 Points A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, does this provide enough evidence to reject the claim that the lab technician's accuracy is within the target accuracy? State the null and alternative hypotheses. A.H0: 1.2, H1: > 1.2 B.H0: < 1.2, H1: 1.2 C.H0: 1.2, H1: = 1.2 D.H0: 1.2, H1: 1.2 Reset Selection Question 6 of 20 A type I error occurs when the: 1.0 Points A.null hypothesis is incorrectly rejected when it is true B.sample mean differs from the population mean C.null hypothesis is incorrectly accepted when it is false D.test is biased Reset Selection Question 7 of 20 The null and alternative hypotheses divide all possibilities into: A.two non-overlapping sets 1.0 Points B.two sets that may or may not overlap C.as many sets as necessary to cover all possibilities D.two sets that overlap Reset Selection 1.0 Points Question 8 of 20 In an article appearing in Today's Health a writer states that the average number of calories in a serving of popcorn is 75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7. Compute the z or t value of the sample test statistic. A.t = -1.916 B.t = 1.916 C.z = 1.916 D.z = 1.645 Reset Selection Question 9 of 20 The hypothesis that an analyst is trying to prove is called the: A.quality of the researcher 1.0 Points B.elective hypothesis C.level of significance D.alternative hypothesis Reset Selection 1.0 Points Question 10 of 20 In an article appearing in Today's Health a writer states that the average number of calories in a serving of popcorn is 75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7. State the null and alternative hypotheses. A.H0: 75, H1: < 75 B.H0: = 75, H1: > 75 C.H0: 75, H1: > 75 D.H0: = 75, H1: 75 Reset Selection Question 11 of 20 The \"Pizza Hot\" manager commits a Type I error if he/she is 1.0 Points A.switching to new style when it is better than old style B.staying with old style when new style is no better than old style C.switching to new style when it is no better than old style D.staying with old style when new style is better Reset Selection Part 2 of 3 1.0 Points Question 12 of 20 Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A survey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. An ice cream shop determines that of 260 customers, 20 customers stated their preference for mint chocolate chip. Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has increased at a 5% level of significance. P-value: Round your answer to four decimal places as necessary. 1.0 Points Question 13 of 20 Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Let x be a random variable representing dividend yield of Australian bank stocks. We may assume that x has a normal distribution with = 2.8%. A random sample of 16 Australian bank stocks has a sample mean dividend yield of 8.91%. For the entire Australian stock market, the mean dividend yield is = 6.4%. If you wanted to test, at a .05 level of significance, to determine if these data indicate that the dividend yield of all Australian bank stocks is higher than 6.4% what is the critical value that you would use? Place your answer, rounded to 2 decimal places, in the blank. For example, 2.34 would be a legitimate entry. 1.0 Points Question 14 of 20 Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The ABC battery company claims that their batteries last 100 hours, on average. You decide to conduct a test to see if the company's claim is true. You believe that the mean life may be different from the 100 hours the company claims. You decide to collect data on the average battery life (in hours) of a random sample of n = 20 batteries. Some of the information related to the hypothesis test is presented below. Test of H0: = 100 versus H1: 100 Sample mean 98.5 Std error of mean 0.777 Assuming the life length of batteries is normally distributed, if you wish to conduct this test at the 0.05 level of significance, what are the critical values that you should use? Place the smaller critical value, rounded to 3 decimal places, in the first blank. For example, -1.234 would be a legitimate entry. . Place the larger critical value, rounded to 3 decimal places, in the second blank. For example, 1.234 would be a legitimate entry. 1.0 Points Question 15 of 20 Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A survey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. An ice cream shop determines that of 190 customers, 15 customers stated their preference for mint chocolate chip. Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has increased at a 5% level of significance. P-value: Round your answer to four decimal places as necessary. 1.0 Points Question 16 of 20 Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization's staff of salespersons. He believes that the proportion of women in similar sales positions across the country is less than 45%. Hoping to find support for his belief, he directs you to test H0: p .45 vs H1: p < .45. In doing so, you collect a random sample of 50 salespersons employed by his company, which is thought to be representative of sales staffs of competing organizations in the industry. The collected random sample of size 50 showed that only 18 were women. Compute the test value that you would use in conducting this test. Place your answer, rounded to 3 decimal places, in the blank. For example, -2.345 would be a legitimate entry. 1.0 Points Question 17 of 20 Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Suppose a firm that produces light bulbs wants to know whether it can say that its light bulbs typically last more than 1500 hours. Hoping to find support for their claim, the firm collects a random sample of n = 25 light bulbs and records the lifetime (in hours) of each bulb. The information related to the hypothesis test is presented below. Test of H0: 1500 versus H1: > 1500 Sample mean 1509.5 Sample standard deviation 24.27 Assuming the life length of this type of lightbulb is normally distributed, if you wish to conduct this test using a .05 level of significance, what is the critical value that you should use? Place your answer, rounded to 3 decimal places in the blank. For example, 1.234 would be a legitimate entry. Part 3 of 3 - Question 18 of 20 The probability of making a Type I error and the level of significance are the same. 1.0 Points True Fals e Reset Selection 1.0 Points Question 19 of 20 A low p-value provides evidence for accepting the null hypothesis and rejecting the alternative. True Fals e Reset Selection Question 20 of 20 Using the confidence interval when conducting a two-tailed test for the population 1.0 Points proportion p, we reject the null hypothesis if the hypothesized value for p falls inside the confidence interval. True Fals e Reset Selection