Ten years ago, 76% of students at a local university took out federal student loans. Astudent wants to test if this percentage is significantly higher today. Write the null andalternative hypotheses.

In a large deck of custom cards, the probability of drawing a Gold card is 0.40. Three cards are randomly selected with replacement. Find the probability that all 3 are Gold cards.

A coffee shop wants to estimate the average wait time for customers. How many customers must be observed to estimate the mean within 0.5 minutes with 95% confidence?

IQ scores are normally distributed with a mean of 100 and SD of 15. The area under the curve to the right of 115 is approximately 0.16. Interpret this area.  

Which of the following is a Binomial Experiment?  

A researcher wants to compare the average salaries of Men (Group 1) vs. Women (Group 2) to see if they are different. Assume the samples are independent. Write the hypotheses.

In a weight loss study, 9 sets of identical twins were given two different GLP-1 medications.For each pair of twins, one twin would be randomly assigned to drug 1 and the other twinwould be assigned to drug 2. Here is the weight loss in pounds for the two samples.Which hypotheses should be used to test if there is a difference in the two drugs?

An art gallery has 10 distinct paintings stored in the back. They have space to display 4 of them on the main wall. In how many ways can they choose the 4 paintings to display (order of selection does not matter)?  

A researcher interviewed 18-to 34-year-olds and asked them whether or not theyparticipated in the Ice Bucket Challenge. 17% of the young people said that theyparticipated in the Ice Bucket Challenge. From this sample, the researcher computed a95% confidence interval, and his result was (0.118, 0.222). Which of the following is thebest interpretation of this confidence interval?

A study found that 8 % of Americans work 6 days per week. In a random sample of 89Americans, find the expected number of Americans who work 6 days per week. Next, findthe standard deviation for the number of Americans who work 6 days per week.