Using the following data set, answer the following questions. 

Data set: 85, 75, 75, 50, 200, 45.5, 125, 68, 120, 50, 150, 50, 150, 150, 150, 175, 100, 80, 112.96, 376, 100, 120, 50, 100, 150, 150, 150, 200, 150, 100, 200, 200, 300, 300, 185, 250, 100, 200, 71.25, 150, 110, 40.87, 65, 300, 80, 200, 10, 150, 115, 35, 200, 231, 150, 100, 120, 90, 100, 85, 250, 60, 90, 90, 50, 100, 175, 100, 100, 60, 60, 60, 85, 150, 105.25, 100, 120, 50, 150.75, 30, 259.75, 120, 117.99, 300, 100, 110, 60, 150, 150, 120, 60, 450, 100, 150, 100, 150, 150, 35, 60.

 

1) Determine the: Sample size, Minimum, 1st quartile, mean, Median, 3rd quartile, Maximum, and Standard deviation for the data set.

2) Make a histogram

3) Make a normal probability plot

4) State the null and alternative hypotheses in notation

5) Would you reject the null hypothesis or fail to reject the null hypothesis?

6) Report the value of the t-statistic with degrees of freedom