1. Give and interpret the 99% confidence intervals for males and a second 99% confidence interval for females on the SLEEP variable. Which is wider and why? 7 M 7 F 5 F 7 F 6 F 8 F 7 F 8 F 5 M 8 M 8 F 4 F 8 F 8 M 6 M 8 M 8 M 8 M 7 F 10 M 6 F 7 M 8 F 5 F 8 F 7 F 7 M 4 M 9 M 8 M 7 F 7 M 8 M 8 M 10 M

4. Ten students on a low-fat diet designed to lower their cholesterol and recorded their before and after diet data in the following table: Before diet cholesterol level:                   After diet cholesterol level: 140 140 220 230 110 120 240 220 200 190 180 150 190 200 360 300 280 300 260 240 Based on a 95% confidence level, after hypothesis testing, what would you tell the students about the diet? Does the null hypothesis reject H0 or fail to reject H0?

Use the given set of points to construct a 95% confidence interval for β1. No need to interpret the results.  x 9 6 5 9 6 12 17 11 y 25 18 15 21 21 28 30 24

Credit card ownership varies across age groups. Suppose that the estimated percentage of people who own at least one credit card is 64% in the 18–24 age group, 84% in the 25–34 age group, 75% in the 35–49 age group, and 77% in the 50+ age group. Suppose these estimates are based on 465 randomly selected people from each age group. (a) Construct a 95% confidence interval for the proportion of people in the 18–24 age group who own at least one credit card. (Round your answers to four decimal places.) to Construct a 95% confidence interval for the proportion of people in the 25–34 age group who own at least one credit card. (Round your answers to four decimal places.) to Construct a 95% confidence interval for the proportion of people in the 35–49 age group who own at least one credit card. (Round your answers to four decimal places.) to Construct a 95% confidence interval for the proportion of people in the 50+ age group who own at least one credit card. (Round your answers to four…

1) A coffee shop claims that it takes 115 seconds, on average, to serve their customers coffee through their  drive-thru. Lucy, a statistics student, decides to test this claim. She randomly selects 15 orders and records  the wait time it took for the customer to receive their coffee. Here are the times (in seconds).    85 122 135 100 153 153 116 99 65 130 175 113 188 142 134   a) Lucy wants to make a confidence interval to estimate the true mean wait time. Explain thoroughly why  Lucy has or has not satisfied the “normal” condition for constructing a confidence interval. interval  b) The 95% confidence interval that Lucy constructs is 109.1 to 145.6 seconds. Does the interval provide convincing evidence that the coffee shop is lying about their claim?