Question

The number of minutes late that a Greyhound bus arrives at the downtown Cleveland terminal from the Indianapolis terminal is normally distributed with a mean of 15.4 minutes and a standard deviation of 10.8 minutes. A survey research firm will take a random sample of 36 of these Indianapolis-to-Cleveland bus trips and record how many minutes late each trip is.

Part 1 Based on a sample size of 36 bus trips, the probability that the sample mean minutes late will be more than 13.8 is . Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 4 decimal places, using conventional rounding rules. ANSWER

Part 2 Based on a sample size of 36 bus trips, the probability that the sample mean minutes late will be between 11.6 and 13.3 is . Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 4 decimal places, using conventional rounding rules.ANSWER

Part 3 Based on a sample size of 36 bus trips, the probability that the sample mean minutes late will be less than 16.3 is . Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 4 decimal places, using conventional rounding rules. ANSWER

Part 4 If random samples of 36 bus trips are repeatedly drawn from this population and the mean minutes late in each sample is recorded, 34% of the sample means should be above minutes. Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 3 decimal places, using conventional rounding rules.

Answer 1