Author: Anonymous

(Partial Credit Booster) Choose the answer below to get 11 points. 

A farmer is trying to estimate the proportion of apple trees in an orchard that are infected with a fungal disease. They randomly sample 64 apple trees from the orchard and calculate a 90% confidence interval of (0.14, 0.26). What is the correct interpretation of this confidence interval?

Suppose a 95% confidence interval for the proportion of TAMU students who attended a football game last year is given by (0.67, 0.74). Which of the following could potentially be the 99% confidence interval based on the same data? (Remember, as your confidence level increases, what happens to the width of your interval?)

The scatterplot below shows an outlier in the bottom left. What kind of outlier is this point?

Body temperatures of adults are normally distributed with a population mean of 98.6 and a population standard deviation of 0.7 (in degrees Fahrenheit). What is the probability of a healthy adult having a body temperature greater than 99.1?

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).

Cathy wants to see if she can predict house prices based on square footage. She decides to use simple linear regression and gets the output shown below. If she uses this output to estimate the sale price of a 2100 square foot home, what is the predicted sales price?  

Suppose a researcher wants to test the hypothesis that µ = 14 versus the alternative that µ ≠ 14 using data from a random sample of 65 people. We calculate the t-test statistic to be 2.436. Which of the following best describes the p-value?

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?

Cathy wants to see if she can predict house prices based on square footage. She decides to use simple linear regression and gets the output shown below. We conduct a hypothesis test at the 0.05 significance level to determine if there is a significant linear relationship between square footage and house price. Based on the p-value for square footage, what can we conclude about the relationship between square footage and home price?