# Math 146 – Introductory Statistics –- Fall 2014 ```Math 146 – Introductory Statistics –- Fall 2014
Name: __________________________________
Due Nov 3, 2014
Please do/show all work (neatly !) on this sheet (there are printers available on campus)
1. A sample (n=100) of cereal boxes are examined. The average weight of the boxes is 15 oz.; the standard
deviation is 0.3 oz. A ‘promotional item’ that weighs exactly (!) 2 oz. is placed in each box.
Now what is the mean weight?
What is the standard deviation of weight? (or, is more information needed to answer the question?) Explain.
2. Data set A: 20, 32, 15, 27, 16
a) Find the mean (&micro;) of data set A
b) Subtract the mean (from step “a”) from each data value in set A, to create a new data set “B”
c) Find the mean of data set B
d) Complete: If one subtracts the mean from each value in a data set, the resulting values have a mean of
_________.
e) Without doing any calculations, how does the standard deviation of set A compare to the standard
deviation of set B? Explain.
3. Data set C: 3, -1, 5, 3, 5, 3
a) Find the z-score for each value in data set C. This creates a new data set D.
b) Find the mean (&micro;) of data set D
c) Find the standard deviation of data set D
d) Any conclusion? Explain. (Is your conclusion true for all datasets?)
4. Jack (in his first week of statistics class) and Jill (in her eighth week of class) were writing up the
results of a statistical study. They reported a sample size of 22 with a mean value of 18.75. When
organizing their papers to write the summary, they found the report for another observation. It states a
value of 3.80 for the variable under consideration (all other original paper work for the other subjects