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?

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Description: Q5) a) A manufacturer of tennis balls claims that the Company controls the weights of the ballsaccurately so that their variance is not more than 1 mg². A random sample of 31balls yieldsvariance of 1.62 mg² . Is this evidence sufficient to reject th

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

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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