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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

(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

A First Course in Probability (10th Edition)
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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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 group ests 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 of he 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 manufacturer differs 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 :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 (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 by this manufacturer differs from 49 months? O Yes No I X X O S Р OSO 020 ☐☐ ☐>0 3
Transcribed Image Text: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 group ests 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 of he 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 manufacturer differs 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 :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 (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 by this manufacturer differs from 49 months? O Yes No I X X O S Р OSO 020 ☐☐ ☐>0 3
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