CNNBC recently reported that the mean annual cost of auto insurance is 977 dollars. Assume the standard deviation is 294 dollars. You take a simple random sample of 60 auto insurance policies. Find the probability that a single randomly selected value exceeds 989 dollars. P(X > 939] = Find the probability that a sample of size n = 60 is randomly selected with a mean that exceeds 989 dollars. PIEM > 989) = Enter your answers as numbers accurate to 4 decimal places. Assume that a sample is used to estimate a population proportion p. Find the 99% confidence interval for a sample of size 192 with 35.9% successes. Enter your answer as a tri-linear inequality using decimals [not percents} accurate to three decimal places. pi Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places. Test the claim that the proportion of people who own cats is smaller than 20% at the 0.10 significance level. The null and alternative hypothesis would be: Ho:p = 0.2 Ho:p 0.2 Hi :p + 0.2 H1:p > 0.2 H1:/ / 0.2 H1 :/ 0.2 H1:p