We want to predict the skull width of possums using their weight. We gather a random sample of 100 possums and record their weights and skull widths. Their weights ranged from 4 to 9 pounds. We fit a regression line and use it to predict the skull width of a newborn possum weighing 0.75 pounds. What is this an example of? 

Suppose we calculate a 95% confidence interval for the mean weight of Clydesdale horses using a sample of 14 subjects. We do not know the population standard deviation, so we use the sample standard deviation (and t* instead of z*) to compute the interval. We later obtain the population standard deviation for the weights of all Clydesdale horses from another census. So instead, we calculate a 95% confidence interval using this population standard deviation (and z* instead of t*). Assuming the population and sample standard deviations are about the same, which interval will be wider?

A research study wanted to determine if the summer high temperature in the state of Alaska has changed significantly between 2000 and 2020. They collected data at 49 randomly selected weather stations across Alaska and observed the highest temperature recorded at each station in both 2000 and 2020. The summary statistics for the study is shown in the table below (note: not all information in the table is required to solve the problem; you must decide what pieces of information are necessary). Group n x̄ s Temperature in 2000 49 73.8 5.2 Temperature in 2020 49 75.4 4.7 Differences 49 -1.6 2.9 Assuming all conditions are met, what is the value of the test statistic for testing if the summer high temperature in Alaska has changed from 2000 to 2020? (Treat year 2000 as group 1 and year 2020 as group 2).

Heights of adult American women are normally distributed, with a population mean of 66 inches and a population standard deviation of 2.5 inches. Taylor’s doctor tells her that her height is above average but less than one standard deviation away from the mean.  Which of the following could potentially be the z-score of her height?

We want to predict the skull width of possums using their weight. Suppose the mean weight of possums in our sample is 6 pounds and the mean skull width in our sample is 2.8 inches. If the estimate for the slope is 0.31, what is the estimate for the y-intercept?

Brock is interested in determining if 3 different antibiotics have different recovery times. He collected data on 6 patients taking each type of antibiotic (for a total of 18 patients). Assuming all conditions are met, what are the correct null and alternative hypotheses?    

We want to estimate the average weight of all offensive linemen in the NCAA. We take a random sample of 45 offensive linemen and observe their average weight to be 295 pounds. What is the parameter and what is its value?

The following data points represent the sale price of 12 recently sold houses in College Station (in thousands of dollars): 225, 410, 342, 299, 320, 390, 435, 276, 400, 495, 980, 1430 Which of the following would be more appropriate for estimating the center of the distribution, and why?

At the beginning of a semester, an anonymous survey was conducted on students in a statistics class. Two of the questions on the survey were about gender and how often students attend therapy. Below are the results. What test should we perform to see if gender and therapy attendance are associated?

We are testing the following hypotheses: H0: μ = 0.5 HA: μ > 0.5 The sample size is 36. The test statistic is calculated as t = 2.596. What is the p-value?