Question 5 10 out of 10 points Use the following setup for questions 5-6: The price of a popular tennis racket at a national chain store is $179. Portia bought five of the same racket at an online auction site for the following prices: 155 179 175 175 161 Assuming that the auction prices of rackets are normally distributed, conduct a test to determine whether there is sufficient evidence in the sample, at the 5% level of significance, to conclude that the average price of the racket is less than $179 if purchased at an online auction. What is the correct test of hypotheses to conduct, and what are the null and alternative hypotheses? Selected Answer: small-sample t-test for a population mean H :u= 179 vs. H : 179 d.Question 6 0 out of 10 points What is the value of the test statistic, the form of the rejection region, and what is the conclusion? X Selected Answer: 2. 152 and RR = ( - co , - 2.776] U [2.776, co ) -> we fail to reject H at a 5% level of significance. a. Answers: - - 2.152 and RR = ( - co , - 2.776] U [2.776, co ) => we fail to reject / at a 5% level of significance. a. 1 - 2.152 and RR - [2.132, co ) => we reject H at a 5% level of significance. b. = - 2.152 and RR = ( - co , - 2.776] U [2.776, co ) => we reject H at a 5% level of significance. 1- - 2.152 and RR - ( - co , - 2.132] - we reject H at a 5% level of significance