10 MC Ap Stats questions. Please explain.

Question 1 {4 points) {0101 LC} Which of the following statements would be appropriate to investigate a claim that the mean speed of drivers through a neighborhood exceeds the posted limit of 25 miles per hour'iI {4 points] 0 a The alternative hypothesis states the mean speed of drivers in this neighborhood is greater than 25 miles per hour. 0 h The alternative hypothesis states the mean speed of drivers in this neighborhood is less than 25 miles per hour. 0 c The alternative hypothesis states the mean speed of drivers in this neighborhood is less than or equal to 25 miles per hour. 0 d The null hypothesis states the mean speed of drivers in this neighborhood is less than 25 miles per hour. 0 e The null hypothesis states the mean speed of drivers in this neighborhood is greater than 25 miles per hour. Question 2 (4 points) (07.01 MC) A t statistic was used to conduct a test of the null hypothesis Ho: H = 7 against the alternative Ha: # # 7, with a p-value equal to 0.034. A two- sided confidence interval for u is to be considered. Of the following, which is the largest level of confidence for which the confidence interval will NOT contain 7? (4 points) O A 90% confidence level Ob A 93% confidence level O c A 95% confidence level Od A 97%% confidence level Oe A 99% confidence levelQuestion 31:4 points} (0101 LC} Buyers are skeptical of a speed boat advertisement that claims the newest model gets an average of 24 miles per gallon. They believe the dealer is overstating the average. which null and alternative hypotheses should the buyers test? Let u represent the true average gas mileage. (4 points] (:1 a HD: u 24 miles per gallon O c Ho: u = 24- miles per gallon, Ha: u a 24 miles per gallon D {1 Ha: u = 24 miles per gallon, Ha: u s 24 miles per gallon C) e Ho: u = 24- miles per gallonI Ha: u at 24 miles per gallon Question 4 (4 points) (07.01 MC) The mean family income for a random sample of 550 suburban households in Nettlesville shows that a 92 percent confidence interval is ($45,700, $59,150). Braxton is conducting a test of the null hypothesis Ho: u = 44,000 against the alternative hypothesis Ha: # # 44,000 at the o = 0.08 level of significance. Does Braxton have enough information to conduct a test of the null hypothesis against the alternative? (4 points) O a Yes, because $44,000 is not contained in the 92% confidence interval, the null hypothesis would be rejected in favor of the alternative, and it could be concluded that the mean family income is significantly different from $44,000 at the o = 0.08 level Ob Yes, because $44,000 is not contained in the 92% confidence interval, the null hypothesis would not be rejected, and it could be concluded that the mean family income is not significantly different from $44,000 at the o = 0.08 level O c No, because the value of o is not known Od No, because it is not known whether the data are Normally distributed Oe No, because the entire data set is needed to do this testQuestion 5 (4 points) (07.01 MC) Carisoprodol, a generic muscle relaxer, claims to have, on average, at least 120 milligrams of active ingredient. An independent lab tests a random sample of 50 tablets and finds the mean content of active ingredient in this sample is 116.2 milligrams with a standard deviation of 17 milligrams. If the lab doesn't believe the manufacturer's claim, what is the approximate p-value for the suitable test? (4 points) O a 0.0602 Ob 0.1204 O c 0.4397 Od 0.5603 O 0.05Question 6 (4 points) (07.04 MC) Students at a local middle school were randomly selected to participate in a reading comprehension program. The program is designed to increase their reading comprehension. A total of 21 students each took a pretest before the program and posttest after the program. The mean differences in the posttest and pretest is 24. The administration decided that all students in the school would participate in the program next school year. Let uD denote the mean difference in the student scores. The 98 percent confidence interval estimate of the mean difference for all students is (17, 31). What is an appropriate interpretation of the confidence interval? (4 points) O a For any up 23, the sample result is quite likely. O Up is positive, with a probability of 0.98. C Up is negative, with a probability of 0.98. O d For any Up with 17