1. Describe a sample space S for the random phenomenon: Three fair coins are flipped and the up faces (the sides that land up) are recorded.

(A) S = {0, 1, 2, 3}

(B) S = {1, 2, 3}

(C) S = {H, T}

(D) S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}

(E) S = {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}

2. The average age of cars owned by residents of a small city is four years with a standard deviation of 2.2 years. A simple random sample of 400 cars is to be selected, and the sample mean age is to be computed. What is the probability that the mean age of the 400 cars is less than 4.1 years?

3. Samples of two different types of automobiles were selected, and the actual speed for each car was determined when the speedometer registered 55 mph. The resulting 90% confidence intervals for true average actual speed were (51.3, 52.7) and (49.4, 50.6). Assuming that the two sample standard deviations were identical, which confidence interval is based on the larger sample size?

(A) (51.3, 52.7)(B) (49.4, 50.6)

4. A poll conducted by Gallup asked 1019 randomly selected U.S. adults whether they have a favorable view of Senate GOP Leader Mitch McConnell. Assume that 275 survey respondents said they have a favorable view of McConnell. Is there evidence that fewer than 30% of adults in the U.S. have a favorable view of Senate GOP Leader Mitch McConnell? Test using a 5% significance level. State your conclusion in the context of this problem.