# Question: Recall that the cigarette industry requires that models in cigarette

Recall that the cigarette industry requires that models in cigarette ads must appear to be at least 25 years old. Also recall that a sample of 50 people is randomly selected at a shopping mall. Each person in the sample is shown a “typical cigarette ad” and is asked to estimate the age of the model in the ad.

a. Let μ be the mean perceived age estimate for all viewers of the ad, and suppose we consider the industry requirement to be met if μ is at least 25. Set up the null and alternative hypotheses needed to attempt to show that the industry requirement is not being met.

b. Suppose that a random sample of 50 perceived age estimates gives a mean of 23.663 years and a standard deviation of 3.596 years. Use these sample data and critical values to test the hypotheses of part a at the .10, .05, .01, and .001 levels of significance.

c. How much evidence do we have that the industry requirement is not being met?

d. Do you think that this result has practical importance? Explain your opinion.

a. Let μ be the mean perceived age estimate for all viewers of the ad, and suppose we consider the industry requirement to be met if μ is at least 25. Set up the null and alternative hypotheses needed to attempt to show that the industry requirement is not being met.

b. Suppose that a random sample of 50 perceived age estimates gives a mean of 23.663 years and a standard deviation of 3.596 years. Use these sample data and critical values to test the hypotheses of part a at the .10, .05, .01, and .001 levels of significance.

c. How much evidence do we have that the industry requirement is not being met?

d. Do you think that this result has practical importance? Explain your opinion.

## Answer to relevant Questions

Consider the cigarette ad situation discussed in Exercise 9.57. Using the sample information given in that exercise, the p-value for testing H0 versus Ha can be calculated to be .0057. a. Determine whether H0 would be ...Several industries located along the Ohio River discharge a toxic substance called carbon tetrachloride into the river. The state Environmental Protection Agency monitors the amount of carbon tetrachloride pollution in the ...A large discount chain compares the performance of its credit managers in Ohio and Illinois by comparing the mean dollar amounts owed by customers with delinquent charge accounts in these two states. Here a small mean dollar ...What assumptions must be satisfied in order to use the methods presented in this section? Intuitively explain why a value of s21/s22 that is substantially greater than 1 provides evidence that σ21 is not equal to σ22.Post your question