I’ll mark best answer(s) as brainliest! 1- Which of the following statements would be appropriate to investigate a claim that the mean speed of drivers through town exceeds the posted limit of 30 miles per hour?

The null hypothesis states the mean speed of drivers in this town is less than 30 miles per hour.
The null hypothesis states the mean speed of drivers in this town is greater than 30 miles per hour.
The alternative hypothesis states the mean speed of drivers in this town is greater than 30 miles per hour.
The alternative hypothesis states the mean speed of drivers in this town is less than 30 miles per hour.
The alternative hypothesis states the mean speed of drivers in this town is less than or equal to 30 miles per hour.

2- A t statistic was used to conduct a test of the null hypothesis H0: µ = 7 against the alternative Ha: µ ≠ 7, with a p-value equal to 0.034. A two-sided confidence interval for µ is to be considered. Of the following, which is the largest level of confidence for which the confidence interval will NOT contain 7?

A 90% confidence level
A 93% confidence level
A 95% confidence level
A 97% confidence level
A 99% confidence level

3-
Buyers are skeptical of an ATV advertisement that claims the newest model 4-wheeler gets an average of 17 miles per gallon. They believe the dealer is understating the average. Which null and alternative hypotheses should the buyers test? Let µ represent the true average gas mileage.

H0: µ > 17 miles per gallon, Ha: µ ≥ 17 miles per gallon
H0: µ ≤ 17 miles per gallon, Ha: µ < 17 miles per gallon
H0: µ = 17 miles per gallon, Ha: µ > 17 miles per gallon
H0: µ = 17 miles per gallon, Ha: µ < 17 miles per gallon
H0: µ = 17 miles per gallon, Ha: µ ≠ 17 miles per gallon

5- 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?

0.0602
0.1204
0.4397
0.5603
0.05

6- 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 µD 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?

For any µD 23, the sample result is quite likely.
µD is positive, with a probability of 0.98.
µD is negative, with a probability of 0.98.
For any µD with 17 <µD < 31, the sample result is quite likely.
µD is between 17 and 31

7- Oscar, an MMA instructor at Fight for Fit, selected random samples of 260 students from a nearby community college and 260 students from a nearby 4-year university to compare levels of physical fitness. The mean and standard deviation of the fitness levels of the community college students were 91 and 17 respectively. The mean and standard deviation of the fitness levels of the 4-year university students were 96 and 19 respectively. He conducted a two-sided t-test with a resulting t-value of 3.16. If α = 0.10, what is an appropriate conclusion from this study?

Because the sample means only differ by five, the population means are not significantly different.
Because the second group has a larger standard deviation, their mean fitness score is significantly higher.
Because the second group has a larger standard deviation, the mean fitness score of the first group is significantly higher.
Because the p-value is less than α = 0.10, the mean fitness scores for the two groups of students are significantly different.
Because the p-value is greater than α = 0.10, the mean fitness scores for the two groups of students are not significantly different.

12- Number of offspring and weight, in pounds, of 23 randomly selected rabbits are compared. Which significance test should be used to see if number of offspring and weight have a linear relationship? Assume all test conditions are met.

Two-sample z-test
Two-sample t-test
t-test for the slope of the regression line
Two-proportion z-test
One-proportion z-test