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An engineer of a company which manufactures small motors of Type B suspects that the mean lifetime of a new motor is different from advertised lifetime of 900 hours. A random sample of 50 motors is selected from population of new motors of Type B, and all motors in the sample are placed on lifetime test. The sample mean and sample standard deviation obtained in the lifetime test are 895 hours and 25 hours, respectively. Is it sufficient sample evidence to conclude that the mean lifetime of a new motor of Type B is different from 900 hours? Test the appropriate hypothesis at predetermined level of significance a = 0.01. Use p - value approach. a. State null and research hypotheses: H: H₁: b. Find the observed value of test statistic. Keep 2 digits after decimal point in the expression for observed value of test statistics. The observed value of test statistic is z = obs. c. Find p-value of the test. p-value of the test is equal to

An engineer of a company which manufactures small motors of Type B suspects that the mean lifetime of a new motor is different from advertised lifetime of 900 hours. A random sample of 50 motors is selected from population of new motors of Type B, and all motors in the sample are placed on lifetime test. The sample mean and sample standard deviation obtained in the lifetime test are 895 hours and 25 hours, respectively. Is it sufficient sample evidence to conclude that the mean lifetime of a new motor of Type B is different from 900 hours? Test the appropriate hypothesis at predetermined level of significance a = 0.01. Use p - value approach. a. State null and research hypotheses: H: H₁: b. Find the observed value of test statistic. Keep 2 digits after decimal point in the expression for observed value of test statistics. The observed value of test statistic is z = obs. c. Find p-value of the test. p-value of the test is equal to

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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Solve question 9, Part A, Part B and Part C only.

9. An engineer of a company which manufactures small motors of Type B suspects that the mean lifetime of a new motor is different from advertised lifetime of 900 hours. A random sample of 50 motors is selected from population of new motors of Type B, and all motors in the sample are placed on lifetime test. The sample mean and sample standard deviation obtained in the lifetime test are 895 hours and 25 hours, respectively. Is it sufficient sample evidence to conclude that the mean lifetime of a new motor of Type B is different from 900 hours? Test the appropriate hypothesis at predetermined level of significance a = 0.01. Use p-value approach. a. State null and research hypotheses: H: H₁ : b. Find the observed value of test statistic. Keep 2 digits after decimal point in the expression for observed value of test statistics. The observed value of test statistic is z = obs. c. Find p-value of the test. p-value of the test is equal to
Transcribed Image Text:9. An engineer of a company which manufactures small motors of Type B suspects that the mean lifetime of a new motor is different from advertised lifetime of 900 hours. A random sample of 50 motors is selected from population of new motors of Type B, and all motors in the sample are placed on lifetime test. The sample mean and sample standard deviation obtained in the lifetime test are 895 hours and 25 hours, respectively. Is it sufficient sample evidence to conclude that the mean lifetime of a new motor of Type B is different from 900 hours? Test the appropriate hypothesis at predetermined level of significance a = 0.01. Use p-value approach. a. State null and research hypotheses: H: H₁ : b. Find the observed value of test statistic. Keep 2 digits after decimal point in the expression for observed value of test statistics. The observed value of test statistic is z = obs. c. Find p-value of the test. p-value of the test is equal to
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