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Use the information below to answer question & and 9. The scores on a test for all STA 108 students have a normal distribution with mean 72 and 80 standard deviation 12. A sample of 36 test scores is selected at random and the average is 8. Repeat to select 36 scores and calculate the average scores for the chosen 36 scores every time. If I keep on doing it, what should I expect the standard deviation of all mean scores to be? a. 2.0 b. 1.96 C. 1.0 d. 10 c. 0.4 9. What is the probability of getting a sample (n=36) with mean score at least greater than 807 a. between 0.0015 and 0.025 b. between 0.025 and 0.16 c. between 0.16 and 0.5 d. less than 0.0015 e. greater than 0.16 10. Given that a test of significance was done for a two-tailed test and the P-value obtained was 0.02, what would be the P-value for a one-tailed significance test? a. 0.02 b. 0.01 c. 0.00 d. 0.04 1 1. The owner of a football team suspects that the average attendance at home games is over 3000, and he is therefore justified in moving the team to a city with a larger stadium. If a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in non-technical terms, a. There is sufficient evidence to support the claim that the mean attendance is greater than 3000. b. There is sufficient evidence to support the claim that the mean attendance is equals to 3000. c. There is not sufficient evidence to support the claim that the mean attendance is greater than 3000. d. There is not sufficient evidence to support the claim that the mean attendance is less than 3000