6. You will use the following data to answer questions 6 through 10. It's dimensional data, measured in inches. 79.3 75.1 78.2 74.1 73.9 75.0 76.7 77.3 77.8 74.9 75.2

What is the sample mean for this data set? a. 74.0 inches b. 74.9 inches c. 75.9 inches d. 76.1 inches

7. For the data set in question 6, what is the sample median? a. 74.6 inches b. 75.0 inches c. 75.2 inches d. 75.9 inches

8. For the data set in question 6, what is the sample variance? a. 2.97 inches b. 2.97 inches squared c. 3.26 inches d. 3.26 inches squared

9. For the data set in question 6, what is the estimated standard error of the sample mean? a. 0.30 inches b. 0.33 inches c. 0.54 inches d. 0.57 inches

10. For the data set in question 6, assume that we know that the true mean = 76.5 inches and the standard deviation = 1.8 inches. Find the probability that the sample mean exceeds 77 inches.

Hint: you are using a sample so the denominator needs to be the estimated standard error not the sample standard deviation. Even though this dataset has only 11 values, assume that it is normally distributed for the sake of this problem. Round your answer to two significant digits.