A Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy and completeness of your results and explanations.

1.

A commonly held idea is that the "normal" bodytemperature of a healthy adult is 98.6 degreesFahrenheit, or 37 degrees Celsius. In reality, each person's normal body temperature can vary.Here are dot plots and summary statistics of the body temperatures in degrees Celsius for 100 healthy individuals (50 males and 50 females):

35.2 35.4 35.6 35.8 36 36.2 36.4 36.6 36.8 37 37.2 37.4 37.6 37.8 38 38.2 38.4 38.6Female Body Temperature (Degrees Celsius)

35.2 35.4 35.6 35.8 36 36.2 36.4 36.6 36.8 37 37.2 37.4 37.6 37.8 38 38.2 38.4 38.6Male Body Temperature (Degrees Celsius)

Variable Total Count

Female 50 Male 50

Mean

37.004 37.456

SE Mean

0.0736 0.0991

StDev

0.5208 0.7011

Min

35.800 35.400

Q1

36.700 37.100

Median

37.000 37.500

Q3

37.300 37.800

Max

38.200 38.300

Part A. Determine if there are any outliers in each distribution. Explain your response in the context of the problem. (4 points)

Part B. Draw parallel boxplots of these distributions. Be sure to label the plots and provide a scale. (6 points)

Part C. Write a few sentences comparing the body temperatures of healthy males and females. (4 points)

The data below is the number of unprovoked attacks by bears on people in Alaska each year for a 25-year period.

6 4 5 4 10 45865 48391 46764 54729

(a) Construct a histogram for this distribution. Choose an appropriate bin width, and be sure to provide a label and scale for each axis. (8 points)

(b)Based on your histogram, what numerical measures of center and spread would be best to use for this distribution? Explain your choice. (4 points)

A local shipping company, Company #1, specializes in shipping small packages only. Employees weigh outgoing packages, and find that the weights are approximately Normally distributed with a mean of 2.3 pounds and a standard deviation of 1.2 pounds. Another shipping company, Company #2, specializes in large pallets of containers. For this shipping company, the weights of pallets are also approximately Normally distributed with a mean of 266 pounds and a standard deviation of 10.7 pounds.

(a) What is the 80thpercentile of small package weights at Company #1? (2 points)

(b) At Company A, packages weighing more than 5 pounds require additional fees. What proportion of small packages at this shipping company require additional fees? (4 points)

(c) Which is heavier relative to other items shipped at the same company, an 8.1-pound package at Company A or a 265-pound pallet at Company B? (4 points)

(d) Show that a pallet weighing 295 pounds would be an outlier at Company B. (4 points)