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A series of examples and exercises related to hypothesis testing in statistics. It covers various aspects of hypothesis testing, including the formulation of hypotheses, the calculation of test statistics, and the interpretation of results. The examples illustrate different types of hypothesis tests, such as one-sample tests, two-sample tests, and tests for proportions. The exercises provide opportunities for students to apply the concepts learned in the examples and develop their understanding of hypothesis testing.
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1 In a hypothesis test, the test statistic computed from the sample data is considered extreme highly unlikely to occur due to chance 2 A test of the hypotheses, H0: p = 0.18 and H1: p ≠ 0.18 is a _ two-tailed test 3 An analyst tested the null hypothesis μ ≥ 30 against the alternative hypothesis that μ < 30. T a > 0. 4 The dean of a business school claims that the average starting salary of its graduates is mor H0: μ = 85 and Ha: μ > 85 5 The dean of a business school claims that the average starting salary of its graduates is mor
6 If the calculated test statistic falls in the rejection region, the statistical action is to reject the null hypothesis 7 A researcher is testing a hypothesis of a single mean. The critical z value for = .05 and a two reject 8 Use the information given and the eight-step approach to test the hypotheses. Let α = .01. 3.21 reject the null hypothesis 9 According to one survey taken a few years ago, 32% of American households have attempte -1.22 Fail to reject the null hypothesis 10 A computer manufacturer estimates that its line of minicomputers has, on average, 8.6 days -5.62 reject the null hypothesis 11 The weight of a USB flash drive is 30 grams and is normally distributed. Periodically, quality reject the null hypothesis and shut down the process 12 The executives of CareFree Insurance, Inc. feel that "a majority of our employees perceive a Fail to reject the null hypothesis 13 Elwin Osbourne, CIO at GFS, Inc., suspects that at least 25% of e-mail messages sent by GFS Fail to reject the null hypothesis 14 The customer help center in your company receives calls from customers who need help wit
or significant if it is he analyst reported a p-value of 0.07. For what significance level of will the null hypothesis e than 85 (in $000’s). It is known that the population standard deviation is 10 (in $000’s). Sam e than 85 (in $000’s). It is known that the population standard deviation is 10 (in $000’s). Sam -tailed test is +1.96. The observed z value from sample data is 2.85. The decision made by th d to reduce their long-distance phone bills by switching long-distance companies. Suppose tha of downtime per year. To test this claim, a researcher contacts seven companies that own o control inspectors at Dallas Flash Drives randomly select a sample of 17 USB flash drives. If t participatory management style at CareFree." A random sample of 200 CareFree employees employees are not business related. A random sample of 300 e-mail messages was selecte h some of the customized software solutions your company provides. Previous studies had in
f 88 (in $000s). Which of the following sets of hypotheses is correct? f 88(in $000s). What is the critical value for the rejection region if the level of significance is g a new survey of 90 American households who have tried to reduce their long-distance bills. that, for the sample, the average number of downtime days is 5.2, with a sample standard d for adjustment; otherwise, the production process continues. The last sample showed a mea management as participatory. The appropriate decision is. ness related. The appropriate decision is. is Spanish and therefore would prefer to talk to a Spanish-speaking representative. This figur
Suppose further that of these 90 households, 26% say they have tried to reduce their bills by eviation of 1.6 days. Assuming that number of downtime days is normally distributed, test to n and standard deviation of 31.9 and 1.8 grams, respectively. Using = 0.10, the appropriate d e coincides with the national proportion, as shown by multiple larger polls. You want to test
y different proportion of American households are trying to reduce long-distance bills by swit e population. Let α = .01. ve. You conduct a statistical study with a sample of 35 calls and find out that 11 of the caller
ching companies? Let α = .01. s would prefer a Spanish-speaking representative. The significance level for this test is 0.01.