1.The following are the 100-meter freestyle times for a group of 15 high school athletes, in seconds.

56.0955.2157.0056.6856.51

56.1357.7057.4159.4057.46

56.5556.0257.1356.3356.92

Find the mean and median of these times.

Find the variance and standard deviation of these times.

Construct a stemplot for these times.

2.Have SPSS get the STAT data from your text CD. A description of the dataset is in Use Your Knowledge 1.17 of Chapter 1. Add these nine values to the given data set, giving a total of 39 test scores. All questions below refer to this set of 39 observations.

8384919471

81737783

SPSS to construct a histogram of the data using eight intervals and insert it into your response.

Is this data symmetric or skewed? Explain your answer.

Have SPSS produce a Q-Q plot for the data and insert the plot into your response. Does it appear likely that the data have been drawn from a normal distribution? Explain.

3.Here are the salaries of 30 Division 1-A assistant basketball coaches.

4687448565497675219352677

5331554383550465558955627

5646756582572145911159541

6041060671616046396264699

6485565889665816708468289

6978670069719357441575490

Find the five-number summary for this data.

Explain to a statistics challenged friend how you would construct a box plot for these data.

Do there appear to be any outliers? Why do you say that?

4.On the average, there are 500 mg of aspirin in an "Extra Strength" aspirin tablet. Suppose the random variable assigning amount of aspirin in a tablet is normally distributed with standard deviation 25 mg.

What proportion of extra strength aspirin tablets can be expected to contain between 470 and 530 mg of aspirin?

If you purchase a 100-tablet bottle of extra strength aspirin, about how many of them would contain more than 530 mg of aspirin?

How much aspirin would a tablet have to contain to be in the top 5% of the aspirin content range?