__OBJECTIVES:__ This lab is designed to introduce
you to Minitab and show you how to calculate basic descriptive statistics
& generate some statistical plots.

__DIRECTIONS:__ Follow the instructions below,
answering all questions. Your answers should be in the form of a brief
report (Word), to be handed in to the instructor before you leave.

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**1.)**

__Data Description:__

**In 1798, H. Cavendish set out to determine the density of the earth
relative to that of water, using a torsion balance. He conducted 29 very
precise experiments assessing this relative density. A working assumption
to begin with is that the values of his measurements were taken from a
normal distribution centered around the true relative density. The data
from all 29 experiments are given below (from Stigler, S., "Do Robust Estimators
Work with Real Data?", Annals of Statistics, 5, 1977).**

**5.50 5.55 5.57 5.42 5.30 5.34**

**5.61 5.36 5.53 5.79 5.47 5.75**

**4.88 5.29 5.62 5.10 5.63 5.68**

**5.07 5.58 5.29 5.27 5.34 5.85**

**5.26 5.65 5.44 5.39 5.46**

**a.) **Enter the above data in column one &
name it CAVEND.

**b.) **Construct a boxplot of the data.

**c.) **Construct a histogram with a suitable binwidth.

**d.) **Based on the two plots above, does the
data seem symmetric or skewed? Also , comment on the modality.

Are there outliners in the data?

**e.) **Guesstimate the sample mean & standard
deviation from the histogram.

**f.) C**alculate & record the basic summary
statistics, such as the mean, standard deviation, quartiles, minimum, and
maximum.

**g.) **Find the proportion of the observations
within plus or minus one standard deviation of the mean.

Repeat for plus or minus two standard
deviations. Compare with the "standard deviation rule of thumb" from
the text.

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**2.)**

**a.) **Download cervical data.

**b.) **Perform the same analyses (parts b. - g.
above) on the
*second column* of actual data (*"Fluor2"*).

**c.) **Apply both a logarithmic and fourth-root
transformation to the cervical cancer data,

(again, just the second column) and repeat
parts b.-d. from number 1.

(The 4th root transformation can be
performed using the calculator feature, with the

expression: "[column name]**0.25").

**d.) **How did the transformations affect the
histograms?