BUSI 230 HW 11.4 Hypothesis Tests for Two Population Standard Deviations Assignment solution answers

BUSI 230 HW 11.4 Hypothesis Tests for Two Population Standard Deviations Assignment solutions complete answers 

 

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Find the critical value f0.10 for F3,10. Round your answer to two decimal places.

 

An -test with  degrees of freedom in the numerator and  degrees of freedom in the denominator produced a test statistic whose value was . The null and alternate hypotheses were H0:=  versus H1 < .

Find the critical values f0.10 and f0.01 for f8,10.

Do you reject  at the  and the  level?

 

Sugar content: A broth used to manufacture a pharmeceutical product has its sugar content, in milligrams per milliliter, measured several times on each of three successive days. Can you conclude that the variability of the process is lesser on the second day than on the third day? Let  denote the variability of sugar content on the first day and  denote the variability of sugar content on the third day. Use the =0.01 level and the critical value method with the table.

State the appropriate null and alternate hypotheses.

Find the critical value. Round the answer to two decimal places.

Compute the test statistic. Round the answer to two decimal places.

Determine whether to reject .

State a conclusion.

 

Can you conclude that the standard deviation of the breaking strength Composite 2 is greater? Use the =0.05 level of significance.

State the null and alternate hypotheses.

This hypothesis test is a

Find the critical value. Round the answer to two decimal places.

Compute the test statistic. Round the answer to two decimal places.

Determine whether to reject .

State a conclusion.

 

Frozen computer: A computer system administrator noticed that computers running a particular operating system seem to freeze up more often as the installation of the operating system ages. She measures the time (in minutes) before freeze-up for 6 computers one month after installation and for 6 computers seven months after installation. The results are shown. Can you conclude that the time to freeze-up differs in variability in the seventh month and the first month after installation?  Let  denote the variability in time to freeze-up in the first month after installation. Use the =0.05 level and the critical value method with the table.

State the null and alternate hypotheses.

This hypothesis test is a

Find the critical value. Round the answer to two decimal places.

Compute the test statistic. Round the answer to two decimal places.

Determine whether to reject .

State a conclusion.

 

Are you smarter than your older brother? In a study of birth order and intelligence, IQ tests were given to - and -year-old men to estimate the size of the difference, if any, between the mean IQs of firstborn sons and secondborn sons. The following data for  firstborn sons and  secondborn sons are consistent with the means and standard deviations reported in the article. Assume that the samples come from normal populations.

Can you conclude that the standard deviation of IQ differs between firstborn and secondborn sons? Let  denote the standard deviation in the IQs of firstborn sons. Use the =0.05 level.

State the null and alternate hypotheses.

This hypothesis test is a

Find the critical value. Round the answer to at least two decimal places.

Compute the test statistic. Round the answer to at least two decimal places.

Determine whether to reject .

State a conclusion.