APUS CLE : MATH302 C006 Win 17 : Tests & Quizzes

6/1/2017 APUS CLE : MATH302 C006 Win 17 : Tests & Quizzes https://edge.apus.edu/portal/site/345012/tool/102cc5ed­600c­447a­bad2­35f8f2e1070c/jsf/select/selectIndex 1/8 Results from previous studies showed 79% of all hi ...

6/1/2017 APUS CLE : MATH302 C006 Win 17 : Tests & Quizzes https://edge.apus.edu/portal/site/345012/tool/102cc5ed­600c­447a­bad2­35f8f2e1070c/jsf/select/selectIndex 1/8 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. Compute the z or t value of the sample test statistic. A. t = 1.645 B. z = 0.62 C. z = 1.96 D. z = 0.69 Answer Key:D 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. Yes C. No Answer Key:C Which of the following statements are true of the null and alternative hypotheses? A. It is possible for both hypotheses to be true B. Exactly one hypothesis must be true C. It is possible for neither hypothesis to be true D. Both hypotheses must be true Question 1 of 20 1.0/ 1.0 Points Question 2 of 20 1.0/ 1.0 Points Question 3 of 20 1.0/ 1.0 Points https://www.coursehero.com/file/23278402/APUS-CLE-MATH302-Quizze-4/ This study resource was shared via CourseHero.com6/1/2017 APUS CLE : MATH302 C006 Win 17 : Tests & Quizzes https://edge.apus.edu/portal/site/345012/tool/102cc5ed­600c­447a­bad2­35f8f2e1070c/jsf/select/selectIndex 2/8 Answer Key:B 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. H : 75, H : > 75 B. H : = 75, H : > 75 C. H : = 75, H : ≠ 75 D. H : 75, H : < 75 Answer Key:C The null and alternative hypotheses divide all possibilities into: A. two sets that may or may not overlap B. as many sets as necessary to cover all possibilities C. two sets that overlap D. two non­overlapping sets Answer Key:D Suppose that the mean time for a certain car to go from 0 to 60 miles per hour was 7.7 seconds. Suppose that you want to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer than 7.7 seconds. What would you use for the alternative hypothesis? A. H : > 7.7 seconds B. H : 7.7 seconds Question 4 of 20 1.0/ 1.0 Points 0 1 0 1 0 1 0 1 Question 5 of 20 1.0/ 1.0 Points Question 6 of 20 1.0/ 1.0 Points 1 1 https://www.coursehero.com/file/23278402/APUS-CLE-MATH302-Quizze-4/ This study resource was shared via CourseHero.com6/1/2017 APUS CLE : MATH302 C006 Win 17 : Tests & Quizzes https://edge.apus.edu/portal/site/345012/tool/102cc5ed­600c­447a­bad2­35f8f2e1070c/jsf/select/selectIndex 3/8 C. H : = 7.7 seconds D. H : < 7.7 seconds Answer Key:A The form of the alternative hypothesis can be: A. neither one nor two­tailed B. one or two­tailed C. two­tailed D. one­tailed Answer Key:B A manufacturer of flashlight batteries took a sample of 13 batteries from a day’s production and used them continuously until they failed to work. The life lengths of the batteries, in hours, until they failed were: 342, 426, 317, 545, 264, 451, 1049, 631, 512, 266, 492, 562, and 298. At the .05 level of significance, is there evidence to suggest that the mean life length of the batteries produced by this manufacturer is more than 400 hours? A. No, because the test value 1.257 is greater than the critical value 1.115 B. No, because the p­value for this test is equal to .1164 C. Yes, because the test value 1.257 is less than the critical value 1.782 D. Yes, because the test value 1.257 is less than the critical value 2.179 Answer Key:B 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 . You calculate a p­value of 0.0667. What will happen to the p­value if you observe the same sample mean and standard deviation for a sample size larger than 25? 1 1 Question 7 of 20 1.0/ 1.0 Points Question 8 of 20 1.0/ 1.0 Points Question 9 of 20 1.0/ 1.0 Points 0 https://www.coursehero.com/file/23278402/APUS-CLE-MATH302-Quizze-4/ This study resource was shared via CourseHero.com6/1/2017 APUS CLE : MATH302 C006 Win 17 : Tests & Quizzes https://edge.apus.edu/portal/site/345012/tool/102cc5ed­600c­447a­bad2­35f8f2e1070c/jsf/select/selectIndex 4/8 A. The p – value decreases B. The p – value may increase or decrease C. The p – value increases D. The p – value stays the same Answer Key:A If a teacher is trying to prove that a new method of teaching economics is more effective than a traditional one, he/she will conduct a: A. one­tailed test B. point estimate of the population parameter C. confidence interval D. two­tailed test Answer Key:A 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. State the null and alternative hypotheses. A. H : p = .79, H : p ≠ .79 B. H :  = .79, H :  > .79 C. H : p ≤ .79, H : p > .79 D. H : = .79, H : > .79 Answer Key:C Part 2 of 3 ­ 6.0/ 6.0 Points Question 10 of 20 1.0/ 1.0 Points Question 11 of 20 1.0/ 1.0 Points 0 1 0 1 0 1 0 1 Question 12 of 20 1.0/ 1.0 Points https://www.coursehero.com/file/23278402/APUS-CLE-MATH302-Quizze-4/ This study resource was shared via CourseHero.com6/1/2017 APUS CLE : MATH302 C006 Win 17 : Tests & Quizzes https://edge.apus.edu/portal/site/345012/tool/102cc5ed­600c­447a­bad2­35f8f2e1070c/jsf/select/selectIndex 5/8 Click to see additional instructions 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 H : p .45 vs H : 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. What is the smallest level of significance at which you could reject the null in favor of the alternative hypothesis? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.1234 would be a legitimate entry. 0.1004 Answer Key:.1003|.1020 Click to see additional instructions A statistician wishes to test the claim that the standard deviation of the weights of firemen is less than 25 pounds. To do so, she selected a random sample of 20 firemen and found s = 23.2 pounds. Assuming that the weights of firemen are normally distributed, if the statistician wanted to test her research hypothesis at the .05 level of significance, what is the critical value? Place your answer, rounded to 3 decimal places, in the blank. For example, 12.345 would be a legitimate entry. 10.117 Answer Key:10.117 Click to see additional instructions A survey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. An ice cream shop determines that of 240 customers, 18 customers stated their preference for mint chocolate chip. Find the P­value 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. P­value: 0 1 Question 13 of 20 1.0/ 1.0 Points Question 14 of 20 1.0/ 1.0 Points https://www.coursehero.com/file/23278402/APUS-CLE-MATH302-Quizze-4/ This study resource was shared via CourseHero.com6/1/2017 APUS CLE : MATH302 C006 Win 17 : Tests & Quizzes https://edge.apus.edu/portal/site/345012/tool/102cc5ed­600c­447a­bad2­35f8f2e1070c/jsf/select/selectIndex 6/8 0.1639 Round your answer to four decimal places as necessary. Answer Key:0.1635|0.1639 Click to see additional instructions 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 H : 1500 versus H : > 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. 1.711 Answer Key:1.711 Click to see additional instructions A firm that produces light bulbs claims that their lightbulbs last 1500 hours, on average. You wonder if the average might differ from the 1500 hours that the firm claims. To explore this possibility you take a random sample of n = 25 light bulbs purchased from this firm and record the lifetime (in hours) of each bulb. You then conduct an appopriate test of hypothesis. Some of the information related to the hypothesis test is presented below. Test of H : = 1500 versus H : 1500 Sample mean 1509.5 Sample Standard Deviation 24.27 Assuming the life length of this type of lightbulb is normally distributed, what is the pvalue associated with this test? Place your answer, rounded to 3 decimal places, in the blank. For example, 0.234 would be a legitimate entry. 0.062 Answer Key:0.062 Question 15 of 20 1.0/ 1.0 Points 0 1 Question 16 of 20 1.0/ 1.0 Points 0 1 https://www.coursehero.com/file/23278402/APUS-CLE-MATH302-Quizze-4/ This study resource was shared via CourseHero.com6/1/2017 APUS CLE : MATH302 C006 Win 17 : Tests & Quizzes https://edge.apus.edu/portal/site/345012/tool/102cc5ed­600c­447a­bad2­35f8f2e1070c/jsf/select/selectIndex 7/8 Click to see additional instructions 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 H : p .45 vs H : 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. ­1.279 Answer Key:­1.279 Part 3 of 3 ­ 3.0/ 3.0 Points In order to determine the p­value, it is unnecessary to know the level of significance. True False Answer Key:True Question 17 of 20 1.0/ 1.0 Points 0 1 Question 18 of 20 1.0/ 1.0 Points https://www.coursehero.com/file/23278402/APUS-CLE-MATH302-Quizze-4/ This study resource was shared via CourseHero.com6/1/2017 APUS CLE : MATH302 C006 Win 17 : Tests & Quizzes https://edge.apus.edu/portal/site/345012/tool/102cc5ed­600c­447a­bad2­35f8f2e1070c/jsf/select/selectIndex 8/8 An alternative or research hypothesis is usually the hypothesis a researcher wants to prove. True False Answer Key:True The smaller the p–value, the more evidence there is in favor of the alternative hypothesis. True False Answer Key:True Question 19 of 20 1.0/ 1.0 Points Question 20 of 20 1.0/ 1.0 Points https://www.coursehero.com/file/23278402/APUS-CLE-MATH302-Quizze-4/ This study resource was shared via CourseHero.com Powered by TCPDF (www.tcpdf.org)