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1) A tire manufacturer guarantees that the mean life of a certain type of tire is at least 30,000 miles. Write the null hypothesis. 2) Write the null and alternative hypotheses for the claim that p 0.70 . 3) Find the critical value(s) for a two-tailed z-test at 0.05 , n = 96 4) What test for the mean do we use if we do not know the population standard deviation? 5) A cereal maker claims that the mean number of fat calories in one serving of its cereal is less than 20. Is this right-tailed, lefttailed, or two-tailed? 6) A company’s shipping department believes its employees monthly number of shipping errors is less than 30. The company wants to give a reward to its employees if the have under 30 errors. After running the hypothesis test, the company decides to reward its employees. However, the employees are making between 40-45 errors per month. What type of error occurred? 7) Test the claim: 0 ; 0.05 ; x 0.69 ; s 2.62 ; n 60 . What can you conclude? 8) Write the hypotheses for a bottle manufacturer’s claim that the standard deviation of liquid soap dispensed is no more than 0.0025 liters. 9) Use the following information to determine whether H or H a 0 is the claim: A state school administrator says that the standard deviation of SAT math test scores is below 105. 10) What symbol does represent? 11) Test the claim: 230 ; 0.01; x 216.5 ; s 17.3 ; n 48 What can you conclude? 12) A citrus grower’s association believes that the mean consumption of fresh citrus fruits is more than 94 pounds per year. A random sample of 103 people has a mean consumption of 97.5 pounds per year and a standard deviation of 30 pounds. At 0.02 , what conclusion can you make about the association’s claim that the mean consumption of fresh citrus fruits is more than 94 pounds per year? H0 : 5 13) Given: H : 5 (claim ) ; = 0.05; p-value = 0.02. What a conclusion would you draw? 14) Find the critical value(s) for the test that is right-tailed, = 0.01 n = 8, 15) Given the normally distributed data, what would the t0 be? Claim > 12,700; = 0.05, Statistics x 12,804 , s = 248, n = 21 16) Test the claim that: Claim > 12,700; = 0.05, Statistics x 12,804 , s = 248, n = 21 17) Test the claim that: Claim > 12,700; = 0.01, Statistics x 12,804 , s = 248, n = 21 18) A large university says the mean number of classroom hours per week for full-time faculty is more than 9. A random sample of the number of classroom hours for full-time faculty for one week is listed. At = 0.01, test the association’s claim. 10.7 9.8 11.6 9.7 7.6 11.3 14.1 8.1 11.5 8.5 6.9 19) Decide whether the normal distribution can be used to approximate the binomial distribution. Claim p > 0.70; = 0.01, Statistics pˆ 0.50 , n = 68 20) Test the claim about the population proportion p for the: Claim p > 0.125; = 0.01, Statistics pˆ 0.238 , n = 45 21) An insurance agent says that the mean cost of insuring a 2010 Ford F-150 Super Cab is at least $875. A random sample of nine similar insurance quotes has mean cost of $825 and a standard deviation of $62. Is there enough evidence to reject the agent’s claim at = 0.01? Assume the population is normally distributed. 22) An insurance agent says that the mean cost of insuring a 2010 Ford F-150 Super Cab is at least $875. A random sample of nine similar insurance quotes has mean cost of $825 and a standard deviation of $62. Is there enough evidence to reject the agent’s claim at = 0.05? Assume the population is normally distributed. 23) A coin is tossed 1000 times and 530 heads appear. At = 0.01, test the claim that this is not a biased coin. 24) A coin is tossed 1000 times and 530 heads appear. At = 0.10, test the claim that this is not a biased coin. 25) If you increase the sample size you will ____________ the probability of a type I and type II error.