# Statistics Worksheet

MATH2208 Lab 4Minitab Output: Part 1

Data Set 1 [Question 1]

Data Set 2 [Question 2]

Data Set 3 [Question 3]

MATH2208 Lab 4

(First 15 to 20 minutes of the lab session; must be completed before opening the

individual quiz)

1. Data set 1: We randomly selected 75 MATH2208 students’ responses to the question

“How tall are you?”.

a. Describe the shape of the histogram.

Symmetry:

Modality:

Outliers:

b. Does the probability plot show a general linear pattern? Any outliers?

2. Data set 2: A random sample of 200 observations from a normal distribution.

a. Describe the shape of the histogram.

Symmetry:

Modality:

Outliers:

b. Does the probability plot show a general linear pattern? Any outliers?

3. Data set 3: A random sample of 200 observations from a distribution that is not

normal. (We’ve used the F Distribution)

a. Describe the shape of the histogram.

Symmetry:

Modality:

Outliers:

b. Does the probability plot show a general linear pattern? Any outliers?

4. What feature of the data seen in the Histogram can be used to explain the shape

seen in the Normal Probability Plot?

Part 2: Individually, complete Lab 4: Part 2.

Body temperatures Most people think that the “Nor-mal” adult body temperature is 37.0°C. That figure, based on a nineteenth-century study, has recently been challenged. In a 1992 article in the Journal of the Ameri-can Medical Association, researchers reported that a more accurate figure may be 36.8°C. Furthermore, the standard deviation appeared to be around 0.4°C. Assume that a Normal model is appropriate.

a) In what interval would you expect most people’s body temperatures to be? Explain.

b) What fraction of people would be expected to have body temperatures above 37.0°C?

c) Below what body temperature are the coolest 20% of all people