A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 749 hours. A random sample of 28 light bulbs has a mean life of 720 hours. Assume the population is normally distributed and the population standarddeviation is 64 hours. At α = 0.08, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e).(a) Identify the null hypothesis and alternative hypothesis.A. Ho: μ> 749Ha: ≤749 (claim)D. Ho: μ≤ 720Ha: μ>720 (claim)B. Ho: μ = 720Ha: μ#720 (claim)E. Ho: μ#749(claim)Ha: μ = 749O C. Ho: μ<720 (claim)Ha:μ ≥720OF. Ho: μ ≥749 (claim)Ha: μ<749

From the provided information, Sample size (n) = 28 Sample mean (x̄) = 720 Population standard…

Answered: A light bulb manufacturer guarantees…

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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A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than 920 milligrams. A random sample of 30 breakfast sandwiches has a mean sodium content of 910 milligrams. Assume the population standard deviation is 25 milligrams. At a = 0.10, do you have enough evidence to reject the restaurant's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. ΟΑ. H0 μ 910. Ha: H 920 Ο Ε. Ho: μ 920 Ha: µs 920 (claim) Ha: µ2910 Ha: µ= 920 (b) Identify the critical value(s). Use technology. = 1.28 Zo (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below. A. The rejection region is z> 1.28. B. The rejection region is z 1.28 and z< - 1.28. (c) Identify the standardized test statistic. Use technology. (Round to two decimal places as needed.)
A credit card company claims that the mean credit card debt for individuals is greater than $5,300. You want to test this claim. You find that a random sample of 37 cardholders has a mean credit card balance of $5,509 and a standard deviation of $575. At α=0.01, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed.
A weight loss program claims that program participants have a mean weight loss of at least 11 pounds after 1 month. You work for a medical association and are asked to test this claim. A random sample of 30 program participants and their weight losses (in pounds) after 1 month is listed in the table below. Assume the population standard deviation is 3. At a = 0.03, do you have enough evidence to reject the program's claim? Complete parts (a) through (e). 5.6 6 6.2 6.3 7.1 7.8 7.9 8.2 8.3 8.7 D 8.8 9.2 9.3 9.5 9.7 9.9 10.3 10.4 10.5 10.6 10.8 11.2 11.3 11.3 11.4 12 12.7 12.9 13.6 15.3 Identify the rejection region(s). Choose the correct answer below. A. OB. ○ C. Fail to reject Ho Q Fail to reject Ho Fail to reject Ho Reject Ho Reject Ho Reject Ho (c) Find the standardized test statistic. Z= ☐ (Round to two decimal places as needed.) Reject Ho
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In a test, the average score is 100. You believe that the average score for your class is higher. You took a sample of 30 students. The average score for this group is 140 with a standard deviation of 15. Test the hypothesis that the average score is greater. Use a = .05. The alternative hypothesis is.. O Ha: µ + 100 Ha: µ 100 O Ha: µ = 100
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