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Answer the following questions showing all work. Full credit will
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Answer the following questions showing all work. Full credit will not be given to answers

 

without work shown. If you use Minitab Express include the appropriate output (copy +

 

paste) along with an explanation. Output without explanation will not receive full credit.

 

Round all answers to 3 decimal places. If you have any questions, post them to the course

 

discussion board.

 


 

1. A sample random sample of 6 STAT 200 students was obtained. Their Lesson 1 quiz scores

 

were 15, 16, 18, 19, 20, and 20 [20 points]

 

A. By hand (i.e., do NOT use software), compute the mean, median, mode, variance,

 

standard deviation, range, and interquartile range for this sample. Show all work. Use

 

the table below when computing the variance.

 

X = Quiz Score

 


 

x?x

 


 

( x?x )2

 


 

14

 

19

 

12

 

19

 

18

 

20

 

B. Using the IQR method, are there any outliers? Show all work.

 


 

2. Patti, an undergraduate statistics major, is preparing to apply for graduate school. She has

 

taken both the GRE (Graduate Record Exam) and the GMAT (Graduate Management

 

Admissions Test). GRE quantitative scores have a mean of 150 and standard deviation of 8.75.

 

GMAT quantitative scores have a mean of 30 and standard deviation of 10. This student

 

scored a 165 on the GRE quantitative scale and 45 on the GMAT quantitative scale. [20 points]

 

A. What is the z score for Patti?s GRE score?

 

B. What is the z score for Patti?s GMAT score?

 

C. Relative to other test takers, did Patti score more impressively on the GRE or GMAT?

 


 

3. Open the data file. This file contains the number of residents in each town in the

 

Commonwealth of Pennsylvania. Use Minitab Express to answer the following questions. [60

 

points]

 


 

A. Make a boxplot of all town populations.

 


 

B. Make a histogram of all town populations.

 


 

C. Interpret your boxplot and histogram in terms of shape and outliers.

 


 

D. Use Minitab Express to compute the mean, median, mode, standard deviation,

 

range, and interquartile range for the town populations. Include a copy of your

 

output.

 

E. If you had to select only one measure of central tendency, which is the best measure

 

to use with this data? Why?

 

F. If you had to select only one measure of variability, which is the best measure to use

 

with this data? Why?

 

G. Use Minitab Express to take a simple random sample of 10 towns? populations, and

 

then find the mean and standard deviation for that sample.

 


 

H. Repeat part (G) two more times. find the mean and standard deviation for that

 

sample.

 


 

I. Were your results in parts (G) and (H) the same each time? Why or why not? (You

 

will need AT LEAST three sentences to completely answer this question)

 


 

 







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