Chapter 8 Lab MAT 152 MCGINNIS Name: Express all probabilities in decimal form, rounded to the thousandths place. 1. A local sports magazine reports the mean length of a baseball game to be 175.9 minutes with a standard deviation of 27.0 minutes. For a random sample of 30 games, describe the sampling distribution of the sample mean. . Can we assume the distribution of the sample mean is normal? Explain What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means (standard error of the mean)? . For a sample of 30 games, what is the probability that the mean game length is at most 170 minutes? 2. The mean wait time for a drive-through chain is 193.2 seconds with a standard deviation of 29.5 seconds. What is the probability that for a random sample of 45 wait times, the mean is between 185.7 and 206.5 seconds? Describe the sampling distribution of the sample mean to verify that the distribution is normal. 3 . A large bakery sells a mean of 11.0 dozen cookies per day with a standard deviation of 1.1 dozen per day. Consider the mean number of cookies sold per day in March (31 days) of one year. What is the probability that the mean differs from the population mean by less than 0.5 dozen? Describe the sampling distribution of the sample mea to verify that the distribution is normal