According to a report done by S & J Power, the mean lifetime of the light bulbs it manufactures is 49 months. A researcher for a consumer advocate groupests this by selecting 70 bulbs at random. For the bulbs in the sample, the mean lifetime is 46 months. It is known that the population standard deviation ofhe lifetimes is 9 months. Can we conclude, at the 0.01 level of significance, that the population mean lifetime, μ, of light bulbs made by this manufacturerdiffers from 49 months?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)(a) State the null hypothesis H, and the alternative hypothesis H₁.Ho :DH₁ :0(b) Determine the type of test statistic to use.(Choose one) ▼(c) Find the value of the test statistic. (Round to three or more decimal places.)0(d) Find the p-value. (Round to three or more decimal places.)(e) Can we conclude that the population mean lifetime of light bulbs made bythis manufacturer differs from 49 months?O Yes NoIXXOSРOSO 020☐☐ ☐>03

It is given that Population mean, μ = 49 Sample mean, x̄ = 46 Population standard deviation, σ = 9…

Answered: (a) State the null hypothesis H, and…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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3/ a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? The test statistic, t, The P-value is State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. D. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights…

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(a) State the null hypothesis H, and the alternative hypothesis H₁. Ho :D H₁:0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 I x C ☐☐ C X