AP Statistics

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Directions: Work on these sheets. Answer completely, but be concise. A normal probability table is attached. Part 1: Multiple Choice. Circle the letter corresponding to the best answer. 1. Suppose that the population of the scores of all high school seniors who took the SAT Math test this year follows a normal distribution with mean μ and standard deviation σ = 100. You read a report that says, “on the basis of a simple random sample of 100 high school seniors that took the SAT-M test this year, a confidence interval for μ is 512.00 ± 25.76.” The confidence level for this interval is (a) 90%. (a) 95%. (b) 99%. (c) 99.5%. (e) over 99.9%. 2. A certain population follows a normal distribution with mean μ and standard deviation σ = 2.5. You collect data and test the hypotheses H 0 : μ = 1, H a : μ ≠ 1. You obtain a P-value of 0.022. Which of the following is true? (a) 95% confidence interval for μ will include the value 1. (b) A 95% confidence interval for μ will include the value 0. (c) A 99% confidence interval for μ will include the value 1. (d) A 99% confidence interval for μ will include the value 0. (e) None of these is necessarily true. 3. The government claims that students earn an average of $4500 during their summer break from studies. A random sample of students gave a sample average of $3975 and a 95% confidence interval was found to be $3525 < µ < $4425. This interval is interpreted to mean that: (a) If the study were to be repeated many times, there is a 95% probability that the true average summer earnings is not $4500 as the government claims. (b) Because our specific confidence interval does not contain the value $4500 there is a 95% probability that the true average summer earnings is not $4500. (c) If we were to repeat our survey many times, then about 95% of all the confidence intervals will contain the value $4500. (d) If we repeat our survey many times, then about 95% of our confidence intervals will contain...