5 Multiple choice questions, STAT

1-A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 35 minutes. The owner has randomly selected 20 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 35 minutes. Suppose the P-value for the test was found to be 0.0295. State the correct conclusion.

A) At α = 0.03, we fail to reject H0. B) At α = 0.05, we fail to reject H0. C) At α = 0.025, we fail to reject H0. D) At α = 0.02, we reject H0.

2-A senator wishes to estimate the proportion of United States voters who favor abolishing the Electoral College. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 2%?

A) 4802 B) 25 C) 2401 D) 1692

3-The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 4.5 minutes and a standard deviation of 1 minute. Find the cut-off time which 75.8% of the college students exceed when trying to find a parking spot in the library parking lot.

A) 5.2 min B) 5.3 min C) 5.0 min D) 4.8 min

4-) Claim: μ = 120. Sample data: n = 11, x = 100, s = 15.2. The sample data appear to come from a normally distributed population with unknown μ and σ.

A) Student t B) Neither C) Normal

5- A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random. What is the probability that you have at least 2 cherry candies?

A) 0.4909 B) 0.3362 C) 0.5758 D) 0.1515