1.National Motor Company claims that one of its models, the Econo, gets city driving mileages that are normally distributed with a population mean of 30 miles per gallon and a population standard deviation of 3 miles per gallon. If one of the Econo models is randomly selected and if National Motor Company's claim is true, what is the probability that the automobile will get 23 miles per gallon or more?

2.The following sample values are snow depths measured as part of a study of satellite observations and water resources: 19, 18, 12, 25, 22, 8, 8, and 10.What is the sample standard deviation?

3.The following sample values are snow depths measured as part of a study of satellite observations and water resources: 19, 18, 12, 25, 22, 8, 8, and 10.What is the sample standard deviation?

4.Use the follwing data, and find the sample mean of x.

x = 10, 21, 11, 33, 25, 30

5.Given the following data, find the sample intercept.

x = 10, 12, 13, 17, 18, 20, 22, 24, 26

y = 25, 24, 21, 18, 17, 15, 11, 10, 10

6.Use the following values for x (the independent variable) and y (the dependent variable) to perform a regression analysis.

x = c(1, 2, 3, 4, 6)

y = c(1, 2, 4, 4, 4)

Find thep-value when testing the significance of the slope. We want to find out if the slope is positive, so the alternative hypothesis isbeta_1 is greater than zero;beta_1 represents the population slope in this question.