Use the following for questions Suppose a random sample of 36 Utah County Fair pigs was measured to have a mean of 195 lbs and a standard deviation of 11.75.

1. Calculate a 95% confidence interval for the mean weight of all Utah County Fair pigs.

2. Suppose a sample of 100 was taken instead of 36. How will the margin of error change?

3. If the researcher wanted to have 90% confidence in the results with a margin of error of 5, how many pigs must be sampled?

The following information applies to the next three questions.

Go tohttps://rconnect.byu.edu/Stat121App/On the left panel, select "Procedures for Means", then "One Sample T Procedures". Select the "Student Responses" dataset, then select the "Caffeine" variable to test.

4. Generate a histogram of the data. Is it appropriate to calculate a one-sample t confidence interval for means to estimate the average number of caffeinated drinks consumed by BYU students?

A.No, because our sample distribution is not normal.

B.Yes, because the sample distribution looks approximately normal.

C.yes, because our sample size is bigger than 30.

D.Yes, because there are no conditions necessary to compute a confidence interval.

5. Calculate a 95% confidence interval. What is the margin of error?

A. 0.16

B.0.32

C.0.95

D.1.81

6. What happens to the margin of error as you increase the confidence level?

A.The margin of error decreases.

B. The margin of error increases.

C. The margin of error does not change.

D.Confidence levels do not impact the size of a confidence interval's margin of error.