America has become concerned with our citizen's weight. 30 student weights are recorded and the following statistical results are calculated; the sample mean is 166 pounds and the sample standard deviation is 6 pounds. You may assume that their weights are normally distributed. a) Use appropriate statistical methods to determine whether there is significant statistical evidence to conclude that cadet average weight is less than the national average of 175 pounds. Use a 0.10 level of significance. State the statistical method you use and show all appropriate steps with that method. b) Do your test results in part(a) suggest that student weight is lower than the national average? Why or why not? c) Calculate a 90% confidence interval on the true mean weight for students.
America has become concerned with our citizen's weight. 30 student weights are recorded and the following statistical results are calculated; the sample mean is 166 pounds and the sample standard deviation is 6 pounds. You may assume that their weights are
a) Use appropriate statistical methods to determine whether there is significant statistical evidence to conclude that cadet average weight is less than the national average of 175 pounds. Use a 0.10 level of significance. State the statistical method you use and show all appropriate steps with that method.
b) Do your test results in part(a) suggest that student weight is lower than the national average? Why or why not?
c) Calculate a 90% confidence interval on the true mean weight for students.
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