Assignments must have a cover page (refer to the course outline). Please write on one side of the page only and show ALL your work. Answer questions with sentences. Include any printout for a question with the question and clearly label the printout with the question number and part. Keep three decimal places.
1) The following data show the number of pairs of men's New Balance sneakers that were sold over the last 25 weeks at a discount shoe store.
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1
|
4
|
6
|
6
|
8
|
8
|
9
|
11
|
11
|
|
11
|
12
|
12
|
14
|
14
|
14
|
15
|
17
|
17
|
|
17
|
19
|
19
|
20
|
21
|
24
|
24
|
|
|
Construct frequency distribution table and a histogram for this data. Use a class width of 5 and use 1 as the lower class limit of the first class.
2) A survey of 4,080 workers was asked when they expected to retire. The following table shows the frequency distribution of the respondents.
|
Response
|
Frequency
|
|
Before age 60
|
286
|
|
Age 60-69
|
2,203
|
|
Age 70 or older
|
1,020
|
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Not retiring
|
571
|
Using XLSTAT or Excel to construct a pie chart that best displays this data.
3) The following data represents the amount of money nine randomly selected people spent on Father's Day gifts.
$120 $74 $97 $136 $80 $112 $125 $105 $96
Calculate the mean and median. Based on your mean and medain, describe the shape of this distribution as symmetrical, left-skewed, or right-skewed.
4) The following data represent the square footage of 10 three-bedroom condos for sale in Hilton Head, South Carolina.
1,559 1,625 1,167 1,264 1,676 1,300 2,058 1,126 1,858 1,321
Determine the interquartile range for this sample. Are there any outliers in this data set?
5) The following table shows the range of math SAT scores for the incoming freshman class of business students at Smith University.
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Math SAT Scores
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Number of Students
|
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350 to under 400
|
40
|
|
400 to under 450
|
98
|
|
450 to under 500
|
106
|
|
500 to under 550
|
65
|
|
550 to under 600
|
17
|
Determine the probability that a randomly selected student from this incoming class scored 400 or higher.
6) The following contingency table shows the number of adults with credit scores above and below 725 as well as their marital status.
|
Credit Score
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Single (C)
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Married (D)
|
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Below 725 (A)
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39
|
33
|
|
725 or above (B)
|
15
|
63
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Determine whether Events A and C are independent or dependent. What conclusions can be made?
7) According to IDC, Samsung controls 19.0% of the smartphone market. A random sample of three was selected. Determine the probability that the first two phones are Samsung and the third phone is not.
8) A class consists of 15 female students and 12 male students. Determine the number of ways that 2 female students and 3 male students can be uniquely selected from this class.