A vice principal at a high school was studying ACT scores at a local university. She found the following 95% confidence interval for the population mean score for ACT scores: (28, 32). She also conducted a significance test at Ho: mu = 31 versus Ha: mu does not equal 31. The p-value for this test was 0.37. Which of the following statements accurately describes this situation?

A triangle has an area of 28 square feet and a base of 7 feet.  What is the height of the triangle?

Find the total volume of air in 52 feet of 6-inch diameter round duct. Find the volume in cubic feet to the nearest hundredth.

The ceiling of a house has an area of 23.5 sq yd. What is the area in square feet?

A square duct has sides of 8.5 centimeters. What is the area of the duct opening in square centimeters?

An instructor was interested in studying students satisfactory solving of a math problem. The students were given a math problem to solve before and after instruction. Each time, the student was given either a “S” for satisfactory completion or “U” for unsatisfactory completion. Two hundred randomly selected students were involved in the study. “S” after instruction “U” after instruction “S” before instruction 99 14 “U” before instruction 12 75  Besides random sampling and categorical data, what other assumption needs to be met? Is it met?

Is there a difference in the population mean time spent watching tv per day for men and women? The p-value was 0.07. What can be said about the 90% confidence interval for the population mean difference?

Suppose that a researcher wanted to compare times to complete a word puzzle. They wanted to compare the time to complete the puzzle based on the participants experience with video games: minimal experience or substantial experience. The times are below. The individuals were randomly selected. Minimal 17 18 17 19 17 16 14 14 Substantial 12 13 14 15 18 100 17 14 Why might a permutation test be the best option for this scenario?  

A political scientist is interested in studying how Americans feel about having a female American president. He asks 100 people under the age of 40 and 100 people over the age of 40 if they would vote for a women president. The political scientist hypothesized that younger age group(1) would  be more likely to vote for a women president than the older age group(2). What would be the correct null and alternative hypothesis?

A nutritionist was interested in determining if participating in a weight loss program could reduce someone’s weight. She had 4 participants participate in a medical diet plan. She recorded their weight at the beginning of the program and at the end of the program. Find the 95% confidence interval for the population mean change in weight. 1 2 3 4 before 165 204 201 207 after 170 199 197 205