5 The National Music Retailers Association reports that the average cost for a down loaded music album in the US is $ 12.34 with a standard deviation of 74 cents. A bussiness sudden thinks that competition in market pricing has caused web sites to charge about the same price as their competitors and feels that the standard deviation would be lower. The student took a random sample of the price for 51 downloads. They found that the average cost for the 51 downloads was $ 14.21 with a standard deviation of 62 cents. Use a . 10 significance level to test the claim that the standard deviation in the cost of downloaded music albums is less than 74 cents. Ho Graph of the critical information: Test Statistic: Conclusion based on Ho : Conclusion based on the problem: There sufficient evidence at the significance level to the claim that6. The Roadwise Tire Company states that it's Raodmaster tire lasts for 80,000 miles with a standard deviation of 2,000 miles. Consumer complaints concerning these tires lead the California Consumer Protection Agency to conduct it's own investigation They sample 41 randomly selected tires and find that the average tread life for the tires in the sample was 79,000 miles and a standard deviation of 2,300 miles. Use a .02 significance level to test the claim that the standard deviation in tread life for this product is not equal to 2,000 miles. Ho HE Graph of the critical information: Test Statistic: Conclusion based on Ho : Conclusion based on the problem: There sufficient evidence at the significance level to the claim that7. A quality control supervisor thinks that the machine that fills the 10 pound bags of rice is not working correctly. The machine specifications say that the average weight per bag is 10.3 pounds with a standard deviation in the bag weight is .25 pounds. A random sample of 31 bags is taken and the test results state that the average bag weighs 10.2 pounds with a standard deviation of .35 pounds. Use a .01 significance level to test the claim that the standard deviation standard deviation in the bag weight filled by the machine is more than .25 pounds. Ho H: Graph of the critical information: Test Statistic: Conclusion based on Ho : Conclusion based on the problem: There sufficient evidence at the significance level to the claim that8. The school researcher reports that the average GPA of all first semester freshman students has been 3.1 with a standard deviation of .35. The school researcher wonders if the average GPA varies more than than it has in the past. He samples 41 randomly selected freshman and finds they have an average GPA of 3.2 with a standard deviation of .28. Use a .05 significance level to test the claim that the standard deviation in GPA for freshmen students is less than .35. H: Graph of the critical information: Test Statistic: Conclusion based on Ho : Conclusion based on the problem: There sufficient evidence at the significance level to the claim that9. Honda Corporation states that the average gas mileage for 2018 Honda Civics is 42 MPG with a standard deviation of 4.2 MPG. Road and Track Magazine selects 31 2010 Honda Civics at random and tests the cars. They find the 31 cars get an average GPA of 41 MPG with a standard deviation of 4.5 MPG. Test the claim at a . 10 significance level that the standard deviation in MPG is not equal to the 4.2 MPG Honda claims it is. Ho Graph of Critical information: Test Statistic: Conclusion based on H, : Conclusion based on the problem: There sufficient evidence at the significance level to the claim that