Question

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(1 point) It is necessary for an automobile producer to estimate the number of miles per gallon achieved by its cars. Suppose that the sample mean for a random sample of 150 cars is 29.1 miles and assume the standard deviation is 2.4 miles. Now suppose the car producer wants to test the hypothesis that u, the mean number of miles per gallon, is 29.7 against the alternative hypothesis that it is not 29.7. Conduct a test using a = .05 by giving the following: (a) positive critical z score (b) negative critical z score (c) test statistic The final conclustion is A. There is not sufficient evidence to reject the null hypothesis that w = 29.7. B. We can reject the null hypothesis that 29.7 and accept that # 29.7.
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Answer 1

US 1 2 Any (11 The null and alternative hypotheses can Hoi M= 29.7 Ha! y #29,7 Given that o=2.4 miles and for n= 150 cars, X=29.1 miles . (al (al positive critical score = Zx12=1.9549. ford=0.05 (6) Negative -20126-1,9599 (0) The test statistic in Z-V-29.7-29.7 olto ---3.0619 2.4/1150 Deusion Reject Ho if Izl > Z212. Since 121=3.0619> 2412 so reject Ho afa=0.01 (B1 We can reject the null hypothests that M = 29.7 and accept Hu: 8 29.7

VS humti The null and alternative hypotheses are epost (2) Given that population standard deviation o=3.5 seconds for nais college students = 29.9 seconde Hoi M = 30' Hai 30 pa (al The test. statistic in 2= X-ME 29.9-30 -=-01107 olin v 3.5/515 3.5/55 do ou (6) The positive critical value in z* = 2812=2.576; for 23001 (C) Since 121<2*, we fail to reject the hull hypothesis atacool (B) there is not sufficient cridence to reject the hills hypothesis that M=30. su u dut batust - 180 g (3) Given that population Standard deviation 0=0,1. For a simple random simple of n = 15 cigarettes, 51.4 mye jen p? 77 Ho: M = 11,5 my al usul Hai M> 1.5 (9) The test statistic in Z=X-M= X-M.1.4-1.5 -3.8730 Jln 0.11NT5 161 The critical valice in 2* = Zx = 3.090 for a=0:01 I sinu z<, Zd, so we fail to reject Ho at a 20.01. (B) There is not sufficient evidence to show that the ad is misleading