MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- A software company is interested in improving customer satisfaction rate from the 55% currently claimed. The company sponsored a survey of 247 customers and found that 146 customers were satisfied. What is the test statistic z?arrow_forwardA shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 11 years. A survey of 62 companies reported in The Wall Street Journal found a sample mean tenure of 9.3 years for CEOS with a standard deviation of s = 4.4 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed. You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of a = 0.05. Your hypotheses are: H.:µ > 11 На: :и < 11 What is the test statistic for this sample?arrow_forwardThe coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:arrow_forward
- In each of the following settings, decide whether you should use two-sample z procedures for a difference in proportions, two- sample t procedures for a difference in means, or paired t procedures for a mean difference. (a) A city planner is comparing traffic patterns at two different intersections. He randomly selects 12 times between 6:00 a.m. and 10:00 p.m., and he and his assistant count the number of cars passing through each intersection during the 10- minute interval that begins at that time. O Two-sample z test for p1 – P2 O Two-sample t test for µ – H2 Two-sample t test for x1 – x2 Paired t test for µdiff (b) How much greater is the proportion of senior citizens who attend a play at least once per year than the proportion of 20- somethings who do so? Random samples of 100 senior citizens and 100 people in their 20s were surveyed. Two-sample z test for p – P2 O Two-sample t test for x1 X2 O Two-sample t test for p1 – P2 O Two-sample t test for µ – µ2 (c) Luke's taco shop is…arrow_forwardPreviously, an organization reported that teenagers spend 12.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is lower. Twenty-three randomly chosen teenagers were asked how many hours per week they spend on the phone, with the following results (in hours): 10.4, 10.4, 17.3, 11.2, 10, 15.2, 9.5, 5.8, 12.5, 11.8, 7.3, 10.6, 11.5, 16.2, 16.5, 14.3, 12.3, 9.9, 13.7, 8.6, 11.3, 13, 16.5 Perform a hypothesis test using a 10% level of significance. Step 1: State the null and alternative hypotheses. Ho: pv 12.5 12.5 (So we will be performing a left-tailed Vv test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are t-distributed with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. = P(tv sv p-value = Step 4: Make a Conclusion About the nulI…arrow_forwardIn the construction of an 88% Confidence Interval for a population mean u, a has the value ofarrow_forward
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