Question #25 Exercises 9.2Contentprod.reader-ui.prod.mheducation.com/epub/sn_ 4893/data-uuid-cc2bf3776d124002b1fde7aca4b7dfe4Aa< >Assume that the population standard deviation is $10.50 and that spending follows a normal distribution.a. Specify the null and alternative hypotheses to test whether average spending at the rival's store is more than $130.b. Calculate the value of the test statistic and the p-value.c. At the 5% significance level, what is the conclusion to the test?24. A sales manager of a used car dealership for sports utility vehicle (SUVS) believes that it takes more than 90 days, onaverage, to sell an SUV. In order to test his claim, he samples 40 recently sold SUVS and finds that it took an average of 95days to sell an SUV. He believes that the population standard deviation is fairly stable at 20 days.a. State the null and the alternative hypotheses for the test.b. What is the p-value?c. Is the sales manager's claim justified at a = 0.01?25. A researcher wants to determinelif Americans are sleeping less than the recommended 7 hours of sleep on weekdays. Hetakes a random sample of 150 Americans and computes the average sleep time of 6.7 hours on weekdays. Assume thatthe population is normally distributed with a known standard deviation of 2.1 hours. Test the researcher's claim at a = 0.01.26. A local bottler in Hawaii wishes to ensure that an average of 16 ounces of passion fruit juice is used to fill each bottle. Inorder to analyze the accuracy of the bottling process, he takes a random sample of 48 bottles. The mean weight of thepassion fruit juice in the sample is 15.80 ounces. Assume that the population standard deviation is O.8 ounce.a. State the null and the alternative hypotheses to test if the bottling process is inaccurate.b. What is the value of the test statistic and the p-value?83°F Mostly cloudydelete00DDI

25) Solution: Given information: n= 150 Sample size x = 6.7 Sample mean μ=7 Population mean σ=…

A researcher wants to determine if Americans are sleeping less than the recommended 7 hours of sleep on weekdays. He akes a random sample of 150 Americans and computes the average sleep time of 6.7 hours on weekdays. Assume that he population is normally distributed with a known standard deviation of 2.1 hours. Test the researcher's claim at a= 0.01.