# Question: A study conducted by TomTom found that Hawaii had the

A study conducted by TomTom found that Hawaii had the slowest state highway drivers in the country. The drivers traveled at an average speed of 52.7 miles per hour (MPH). Assume the population standard deviation is 6.0 MPH.

a. What is the probability that a sample of 30 of the drivers will have a sample mean less than 51 MPH?

b. What is the probability that a sample of 45 of the drivers will have a sample mean less than 51 MPH?

c. What is the probability that a sample of 60 of the drivers will have a sample mean less than 51 MPH?

d. Explain the difference in these probabilities.

a. What is the probability that a sample of 30 of the drivers will have a sample mean less than 51 MPH?

b. What is the probability that a sample of 45 of the drivers will have a sample mean less than 51 MPH?

c. What is the probability that a sample of 60 of the drivers will have a sample mean less than 51 MPH?

d. Explain the difference in these probabilities.

**View Solution:**## Answer to relevant Questions

According to a recent survey by the National Retail Federation, men spent an average of $ 135.35 on Valentine’s Day gifts (compared with $ 72.28 for women). Assume the standard deviation for this population is $ 40 and ...According to the Organisation for Economic Co operation and Development (OECD), adults in the United States worked an average of 1,787 hours in 2011. Assume the population standard deviation is 400 hours and that a random ...A sample of 150 is drawn from a population with a proportion equal to 0.40 and a population size of 400. Determine the probability of observing a. Between 50 and 54 successes. b. Between 55 and 62 successes. c. Between 53 ...Pike Creek Golf Club currently has 375 members who pay annual dues to play golf on the course. Historical records show that 38% of the members use the course at least once a week during the summer season. To verify this, a ...According to AAA, regular gasoline averaged $ 3.68 per gallon in the United States in March 2013. Assume the standard deviation for gasoline prices is $ 0.12 per gallon. A random sample of 30 service stations was selected. ...Post your question