Section 8 - 4: Hypothesis Tests involving a claim about the true value of the Population Standard Deviation Of 1. The SAT testing company reports that the average SAT score for all test takers is 890 points with a standard deviation of 25 points. A local high school feels that their students may score around 890 but they cannot accept that the standard deviation is that low. They feel the the standard deviation of SAT scores for their students would be more than 25 points. They select 71 students at random who took the test last year and find that they had a test average of 900 points and a standard deviation of 27 points. Test the claim at a .05 significance level that the standard deviation of SAT scores for their students would be more than 25 points. Ho Sample Standard Deviation: HE n= Graph of Critical information: Test Statistic: Conclusion based on H, : Conclusion based on the problem: sufficient evidence at the significance level to the claim that There2. The Folsom Housing Agency reports that the average cost to rent a three bedroom house in Folsom is $ 1800 a month with a standard deviation of $ 500. A local property management company feels that the standard deviation would be less than $ 500. The company selects 41 three bedroom homes in Folsom at random and finds an average rent of $ 1850 and a standard deviation of $ 300. Test the claim at a .05 significance level that the standard deviation in the cost to rent a three bedroom home in Folsom is less than the $ 500 reported by the housing agency. Ho Sample Standard Deviation: n= 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 that3. The Coca Cola Company states that it's 20 ounce bottle of Coke contains an average volume of 20.45 ounces of Coke with a standard deviation of .5 ounces. Consumer complaints concerning a wide range of levels in 20 ounce Coke bottles make the company wonder if the standard deviation is not equal to .5 ounces. They sample 101 randomly selected bottles of Coke and find an average volume of 20.32 ounces and a standard deviation of .7 ounces. Use a .01 significance level to test the claim that the standard deviation of this product is not equal to .5 ounces. Sample Standard Deviation: n= 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 that4. Mercy Folsom Hospital reports that the average wait time for treatment in the emergency room is 42 minutes with a standard deviation of 5 minutes. To test that information an insurance company selects 31 emergency room patient's at random and finds that patients had an average wait time for treatment in the emergency room of 40 minutes with a standard deviation of 5.7 minutes. Test the claim at a .05 significance level that the standard deviation of wait time for the hospital would be more than 5 minutes. 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 that