MID-TERM EXAM: PART 1

Professor Skywalker decided that he wanted to settle the debate as to whether

Martians were shorter than humans once and for all. He measured the heights of 20

Martians and compared them the average height of the human population (66.5

inches). Here is the data he collected on Martians:

Height in

inches

DATA

SUPPLIED

BY

PROFESSOR

TO

STUDENT

PART A: Complete the following calculations by hand. (Yes, you can use a

calculator!). SHOW ALL OF YOUR WORK – each step you took to arrive at your

answer.

(14 points total)

66.00

69.00

68.00

67.00

63.00

70.00

71.00

69.00

70.00

66.00

67.00

68.00

67.00

68.00

70.00

69.00

68.00

68.00

67.00

69.00

1. Compute the mean (2 points).

2. Compute the Sums of Squares (2 points)

3. Compute the SD (2 points)

4. Compute the SE of the mean (2 points)

5. Compute the 95% confidence interval around the mean. (2 points)

6. Compute the z-score for 63”? (2 points)

7. Determine what height falls at the equivalent of a z score of 1.96. (2 points)

PART B: Complete the following using SPSS. To turn in this work, you will need to

save your output file as a Word file. (In SPSS, under File, click on Export. It will give

you an option to save your file as a Word document. ) You can copy the questions

below that require text right in the output file or keep this as a separate Word file.

For the questions requiring screen shots, these can also be embedded in the output

file or the separate Word file. (16 points)

1. Enter the data into an SPSS file.

2. Compute a boxplot to determine if there is an outliers(s). If there is an outlier,

identify which Martian(s) it is. (2)

3. If there is an outlier, describe EXACTLY how you will correct for it and why you

chose this method. (2)

4. Make any corrections needed to outliers in the data file following the method you

chose in #3. Compute the remaining on the updated data file.

5. Use SPSS to calculate the mean and SD. (If you found an outlier(s), compute the

mean and SD on the data in which the outlier has been fixed. ) (2)

6. Determine whether the data are normally distributed. Show your work and

explain how you came to your conclusion. (3)

7. Do you need to be concerned about violating the assumption of normality in this

sample? Explain your answer. (2)

8. State the null hypothesis and the two alternates. (3)

9. Assuming that when Professor Skywalker compared scores to that of humans to

see if they were different (using a one-sample t test), he found a test statistic that had

a p value = .056. What would you conclude on the basis of his study? (2)

PART A:

Compute the mean (2 points)

The mean is the total sum divided by the number of entries

10.00 + 11.00 + 8.00 + 13.00 + 11.00 + 10.00 + 18.00 + 12.00 + 9.00 + 8.00

= 110

= 110/10 = 11

Mean = 11

1. Compute the Sums of Squares (2 points)

3. Compute the SD (2 points) – Note please use N-1 in formula because this is

from a sample

Compute the SE of the mean (2 points)

2.

Compute the 95% confidence interval around the mean. (2 points)

6. Compute the z-score for 13? (2 points)

Calculated as (score – mean)/SD

7. Determine what height falls at the equivalent of a zscore of 1.5. (2 points)

PART B: Complete the following using SPSS.

output file as a Word file. (In SPSS, under File, click on Export. It will give you an option to save your file as

a Word document. You can copy the questions below that require text right in the output file or keep this as a

separate Word file. For the questions requiring screen shots, these can also be embedded in the output file or

the separate Word file. (16 points)

1. Enter the data into an SPSS file. (SHOW YOUR DATA FILE – both data and variable view)

2. Compute a boxplot to determine if there is an outliers(s). If there is an outlier, identify which respondent(s)

are the outliers. (2) SHOW RESULTS

2. If there is an outlier, describe EXACTLY how you will correct for it and why you chose this method.

(2)

4. Make any corrections needed to outliers in the data file following the method you chose in #3. Compute the

remaining on the updated data file. (SHOW YOUR UPDATED DATA FILE – both data and variable view)

(1)

5. Use SPSS to calculate the mean and SD. (If you found an outlier(s), compute the mean and SD on the data

in which the outlier has been fixed.)

6. Do you think it is necessary to examine whether your data are normally distributed or not? Please explain

your answer. (2)

7. Use the appropriate statistical test to determine whether the data are normally distributed and explain what

the results show and why.

8. A researcher wanted to see if college students check their phone more often than professors during a class

period. The average number of times a professor checked their phone was 3. State the null hypothesis and the

alternates for such a study. (3)

9. Assume that the probability value of the statistical test obtained was p< .112. What should the researcher
conclude about the significance of the results and what do the results mean in terms of what the researcher
found. (2)
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