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 р -value of the test. p-value of the test is equal to d. Decide whether null hypothesis is rejected or is not rejected, and insert the words "to reject" or "not to reject " into the following statement. Your conclusion is null hypothesis. Insert the word sufficient or insufficient into the following statement. _sample evidence to conclude that the mean lifetime of There is a new motor of Type B is different from 900 hours.
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 р -value of the test. p-value of the test is equal to d. Decide whether null hypothesis is rejected or is not rejected, and insert the words "to reject" or "not to reject " into the following statement. Your conclusion is null hypothesis. Insert the word sufficient or insufficient into the following statement. _sample evidence to conclude that the mean lifetime of There is a new motor of Type B is different from 900 hours.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Question
Solve question #9 for part D only.
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
d. Decide whether null hypothesis is rejected or is not rejected, and insert the words "to
reject" or "not to reject " into the following statement.
Your conclusion is
null hypothesis.
Insert the word sufficient or insufficient into the following statement.
_sample evidence to conclude that the mean lifetime of
There is
a new motor of Type B is different from 900 hours.
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