A homeowner is interested in the average cost of all bathroom remodels. The homeowner has seen that the average cost is $10,750. The homeowner believes that the average cost of a bathroom model is more than this value. They randomly select 41 bathroom remodel costs, and they find that the average cost was $10,900 with a standard deviation of $450. Use a 5% level of significance to test the homeowner’s belief.   State the hypotheses:

A homeowner is interested in the average cost of all bathroom remodels. The homeowner has seen that the average cost is $10,750. The homeowner believes that the average cost of a bathroom model is more than this value. They randomly select 41 bathroom remodel costs, and they find that the average cost was $10,900 with a standard deviation of $450. Use a 5% level of significance to test the homeowner’s belief.   The p-value is

If a confidence interval is (24, 50), what is the margin of error (MOE)?

Audrey is ordering at Taco Bell. There is a 18% chance she will order a Quesadilla, a 87% chance she will order a Soft Taco, and a 7% chance she will order both a Quesadilla and a Soft Taco. (Give your answers in decimal form to represent probabilities. Round to 3 decimal places as needed.)   a. What is the probability that Audrey orders a Quesadilla or a Soft Taco? b. What is the probability that Audrey orders a Soft Taco but does not order a Quesadilla ?

Suppose two people are at a dinner party. There are 3 food options they can choose from – chicken (C), veggie (V), or steak (S). Choose the sample space for the possible food selections from these people.  Sample space =

Mia is considering what ice cream flavor to have for dessert. She has a 67% change of picking chocolate, a 32% chance of picking vanilla, and a 27% chance of picking both flavors.   Given that Mia chooses vanilla, what is the probability that she chooses chocolate? (Round to 3 decimals)

We have the following hypothesis test: Test if the average study time per week for UNF students is more than the national average of 13 hours.   a. Is this a left-tailed, right-tailed, or two-tailed test? b. Explain what it means to have a Type I error c. Explain what it means to have a Type II error

When building a confidence interval for a population mean, we use the Z-interval when:

Suppose the sample space S = {1, 2, 3, 4, 5, 6, 7, 8, 9}, event A = {1, 2, 3}, and event B = {1, 3, 5}. (For parts a, b, and c, separate the elements with commas and put your answers in numerical order.)   a. Find BC = {} b. Find A

Assume that whether it rains today or tomorrow is independent of each other. The probability that it rains today is 0.32 and the probability that it rains tomorrow is 0.87. (Round to 3 decimal places)   a. What is the probability that it rains today and tomorrow? b. What is the probability that it rains at least one of the days?