# Question: Do rock music CDs and country music CDs give the

Do rock music CDs and country music CDs give the consumers the same amount of music listening time? A sample of 12 randomly selected single rock music CDs and a sample of 14 randomly selected single country music CDs have the following total lengths (in minutes).

Assume that the two populations are normally distributed with equal standard deviations.

a. Compute the value of the test statistic t for testing the null hypothesis that the mean lengths of the rock and country music single CDs are the same against the alternative hypothesis that these mean lengths are not the same. Use the value of this t statistic to compute the (approximate) p-value.

b. Compute the value of the (one-way ANOVA) test statistic F for performing the test of equality of the mean lengths of the rock and country music single CDs and use it to find the (approximate) p-value.

c. How do the test statistics in parts a and b compare? How do the p-values computed in parts a and b compare? Do you think that this is a coincidence, or will this always happen?

Assume that the two populations are normally distributed with equal standard deviations.

a. Compute the value of the test statistic t for testing the null hypothesis that the mean lengths of the rock and country music single CDs are the same against the alternative hypothesis that these mean lengths are not the same. Use the value of this t statistic to compute the (approximate) p-value.

b. Compute the value of the (one-way ANOVA) test statistic F for performing the test of equality of the mean lengths of the rock and country music single CDs and use it to find the (approximate) p-value.

c. How do the test statistics in parts a and b compare? How do the p-values computed in parts a and b compare? Do you think that this is a coincidence, or will this always happen?

**View Solution:**## Answer to relevant Questions

Suppose you are performing a one-way ANOVA test with only the information given in the following table. a. Suppose the sample sizes for all groups are equal. How many groups are there? What are the group sample sizes? b. The ...Briefly explain when a one-way ANOVA procedure is used to make a test of hypothesis. People who have home gaming systems, such as Wii™, Play station™, and Xbox™, are well aware of how quickly they need to replace the batteries in the remote controls. A consumer agency decided to test three major brands ...Refer to the data given in Exercise 13.97 on the number of times a specific product is promoted on the intercom system in a supermarket and the number of units of that product sold. Make a 90% confidence interval for the ...Consider the following data a. Calculate the correlation between x and y, and perform a hypothesis test to determine if the correlation is significantly greater than zero. Use a significance level of 5%. b. Are you willing ...Post your question