Q5) a) A manufacturer of tennis balls claims that the Company controls the weights of the balls accurately so that their variance is not more than 1 mg². A random sample of 31balls yields variance of 1.62 mg² . Is this evidence sufficient to reject the claim at a 5% level of significance? b) A survey claimed that students in a certain university spend on an average more than 75 minutes a day on intermet. To check the validity of the claim a sample of 100 students from the university was taken. It revealed a mean of 80.23 minutes with a standard deviation of 45.67 minutes. i) Which test statistic would you use to test the above claim, explain ii) At the 2% level of significance, does the claim appear to be valid? iii) State the underlying assumption, if any. iv) Obtain the P-value of the test and interpret it. v) For the test above, what is the probability of Type II Error when, in fact, u = 80?
Q5) a) A manufacturer of tennis balls claims that the Company controls the weights of the balls accurately so that their variance is not more than 1 mg². A random sample of 31balls yields variance of 1.62 mg² . Is this evidence sufficient to reject the claim at a 5% level of significance? b) A survey claimed that students in a certain university spend on an average more than 75 minutes a day on intermet. To check the validity of the claim a sample of 100 students from the university was taken. It revealed a mean of 80.23 minutes with a standard deviation of 45.67 minutes. i) Which test statistic would you use to test the above claim, explain ii) At the 2% level of significance, does the claim appear to be valid? iii) State the underlying assumption, if any. iv) Obtain the P-value of the test and interpret it. v) For the test above, what is the probability of Type II Error when, in fact, u = 80?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Binomial Distribution
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Transcribed Image Text:Q5) a) A manufacturer of tennis balls claims that the Company controls the weights of the balls
accurately so that their variance is not more than 1 mg². A random sample of 31balls yields
variance of 1.62 mg² . Is this evidence sufficient to reject the claim at a 5% level of
significance?
b) A survey claimed that students in a certain university spend on an average more than 75
minutes a day on intermet. To check the validity of the claim a sample of 100 students from
the university was taken. It revealed a mean of 80.23 minutes with a standard deviation of
45.67 minutes.
i) Which test statistic would you use to test the above claim, explain
ii) At the 2% level of significance, does the claim appear to be valid?
iii) State the underlying assumption, if any.
iv) Obtain the P-value of the test and interpret it.
v) For the test above, what is the probability of Type II Error when, in fact, u = 80?
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