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Reading 11: Hypothesis Testing - LOS e, (Part 1) ~ Q9-10

Q9. Ken Wallace is interested in testing whether the average price to earnings (P/E) of firms in the retail industry is 25. Using a t-distributed test statistic and a 5% level of significance, the critical values for a sample of 40 firms is/are:

A)  -1.96 and 1.96.

B)  -2.023 and 2.023.

C)  -1.685 and 1.685.

Q10 .Simone Mak is a television network advertising executive. One of her responsibilities is selling commercial spots for a successful weekly sitcom. If the average share of viewers for this season exceeds 8.5%, she can raise the advertising rates by 50% for the next season. The population of viewer shares is normally distributed. A sample of the past 18 episodes results in a mean share of 9.6% with a standard deviation of 10.0%. If Mak is willing to make a Type 1 error with a 5% probability, which of the following statements is most accurate?

A)   With an unknown population variance and a small sample size, Mak cannot test a hypothesis based on her sample data.

B)   Mak cannot charge a higher rate next season for advertising spots based on this sample.

C)   The null hypothesis Mak needs to test is that the mean share of viewers is greater than 8.5%.

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