An engineer of a company which manufactures small motors of Type A suspects that the mean lifetime of a new motor is less than advertised lifetime of 500 hours. A random sample of 50 motors is selected from population of new motors of Type A, and all motors in the sample are placed on lifetime test. The sample mean and sample standard deviation obtained in the lifetime test are 497 hours and 20 hours, respectively. Is it sufficient sample evidence to conclude that the mean lifetime of a new motor of Type A is less than 500 hours? Test the appropriate hypothesis at a = 0.05 using critical value approach. a. State null and research hypotheses: H : H₁ :. b. Find the observed value of test statistic. Keep 3 digits after decimal point in the expression for observed value of test statistics. The observed value of test statistic is z obs. c. State the rejection region (in the form of inequality). The rejection region is
An engineer of a company which manufactures small motors of Type A suspects that the mean lifetime of a new motor is less than advertised lifetime of 500 hours. A random sample of 50 motors is selected from population of new motors of Type A, and all motors in the sample are placed on lifetime test. The sample mean and sample standard deviation obtained in the lifetime test are 497 hours and 20 hours, respectively. Is it sufficient sample evidence to conclude that the mean lifetime of a new motor of Type A is less than 500 hours? Test the appropriate hypothesis at a = 0.05 using critical value approach. a. State null and research hypotheses: H : H₁ :. b. Find the observed value of test statistic. Keep 3 digits after decimal point in the expression for observed value of test statistics. The observed value of test statistic is z obs. c. State the rejection region (in the form of inequality). The rejection region is
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Solve the practice question 8 first 3 parts only, part a, part b, part c.
Transcribed Image Text:An engineer of a company which manufactures small motors of Type A suspects that the mean
lifetime of a new motor is less than advertised lifetime of 500 hours. A random sample of 50
motors is selected from population of new motors of Type A, and all motors in the sample are
placed on lifetime test.
The sample mean and sample standard deviation obtained in the lifetime test are 497 hours and
20 hours, respectively.
Is it sufficient sample evidence to conclude that the mean lifetime of a new motor of Type A is
less than 500 hours?
Test the appropriate hypothesis at a = 0.05 using critical value approach.
a. State null and research hypotheses:
Ho:
H₁ :
b. Find the observed value of test statistic.
Keep 3 digits after decimal point in the expression for observed value of test statistics.
The observed value of test statistic is z =
obs.
c. State the rejection region (in the form of inequality).
The rejection region is
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