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9.2 Review questions

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Copy of Review Questions module m17013 (http://cnx.org/content/m17013/latest/) from Collaborative Statistics by Dean and Illowsky http://cnx.org/content/col10522/ , 12/18/2008 . The FORMAT only of the question numbering has been changed.

1. Rebecca and Matt are 14 year old twins. Matt’s height is 2 standard deviations below the mean for 14 year old boys’ height. Rebecca’s height is 0.10 standard deviations above the mean for 14 year old girls’ height. Interpret this.

  • A

    Matt is 2.1 inches shorter than Rebecca

  • B

    Rebecca is very tall compared to other 14 year old girls.

  • C

    Rebecca is taller than Matt.

  • D

    Matt is shorter than the average 14 year old boy.

REVIEW QUESTION 1 Solution : D

2. Construct a histogram of the IPO data (see Appendix). Use 5 intervals.

The next six questions refer to the following information: Ninety homeowners were asked the number of estimates they obtained before having their homes fumigated. X size 12{X} {} = the number of estimates.

X size 12{X} {} Rel. Freq. Cumulative Rel. Freq.
1 0.3
2 0.2
4 0.4
5 0.1

Calculate the frequencies

REVIEW QUESTION 3 Solution

X size 12{X} {} Frequency
1 27
2 18
4 36
5 9

Complete the cumulative relative frequency column. What percent of the estimates fell at or below 4?

REVIEW QUESTION 4 Solution : 90%

5. Calculate the sample mean (a) and sample standard deviation (b).

    Review question 5 solution

  • A

    2.8

  • B

    1.48

6. Calculate the median, M, the first quartile, Q1, the third quartile, Q3.

REVIEW QUESTION 6 Solution : M = 3 size 12{M=3} {} ; Q1 = 1 size 12{Q1=1} {} ; Q3 = 4 size 12{Q3=4} {}

7. The middle 50% of the data are between _____ and _____.

REVIEW QUESTION 7 Solution : 1 and 4

8. Construct a boxplot of the data.

The next three questions refer to the following table: Seventy 5th and 6th graders were asked their favorite dinner.

Pizza Hamburgers Spaghetti Fried shrimp
5th grader 15 6 9 0
6th grader 15 7 10 8

9. Find the probability that one randomly chosen child is in the 6th grade and prefers fried shrimp.

  • A

    32 70 size 12{ { { size 8{"32"} } over { size 8{"70"} } } } {}

  • B

    8 32 size 12{ { { size 8{8} } over { size 8{"32"} } } } {}

  • C

    8 8 size 12{ { { size 8{8} } over { size 8{8} } } } {}

  • D

    8 70 size 12{ { { size 8{8} } over { size 8{"70"} } } } {}

REVIEW QUESTION 9 Solution : D

10. Find the probability that a child does not prefer pizza.

  • A

    30 70 size 12{ { { size 8{"30"} } over { size 8{"70"} } } } {}

  • B

    30 40 size 12{ { { size 8{"30"} } over { size 8{"40"} } } } {}

  • C

    40 70 size 12{ { { size 8{"40"} } over { size 8{"70"} } } } {}

  • D

    1

REVIEW QUESTION 10 Solution : C

11. Find the probability a child is in the 5th grade given that the child prefers spaghetti.

  • A

    9 19 size 12{ { { size 8{9} } over { size 8{"19"} } } } {}

  • B

    9 70 size 12{ { { size 8{9} } over { size 8{"70"} } } } {}

  • C

    9 30 size 12{ { { size 8{9} } over { size 8{"30"} } } } {}

  • D

    19 70 size 12{ { { size 8{"19"} } over { size 8{"70"} } } } {}

REVIEW QUESTION 11 Solution : A

12. A sample of convenience is a random sample.

  • A

    true

  • B

    false

REVIEW QUESTION 12 Solution : B

13. A statistic is a number that is a property of the population.

  • A

    true

  • B

    false

REVIEW QUESTION 13 Solution : B

14. You should always throw out any data that are outliers.

  • A

    true

  • B

    false

REVIEW QUESTION 14 Solution : B

15. Lee bakes pies for a little restaurant in Felton. She generally bakes 20 pies in a day, on the average.

  • A

    Define the Random Variable X size 12{X} {} .

  • B

    State the distribution for X size 12{X} {} .

  • C

    Find the probability that Lee bakes more than 25 pies in any given day.

    Review question 15 solution

  • B

    P ( 20 ) size 12{P \( "20" \) } {}

  • C

    0.1122

16. Six different brands of Italian salad dressing were randomly selected at a supermarket. The grams of fat per serving are 7, 7, 9, 6, 8, 5. Assume that the underlying distribution is normal. Calculate a 95% confidence interval for the population average grams of fat per serving of Italian salad dressing sold in supermarkets.

REVIEW QUESTION 16 Solution : CI: ( 5 . 52 , 8 . 48 ) size 12{ ital "CI": \( 5 "." "52",8 "." "48" \) } {}

17. Given: uniform, exponential, normal distributions. Match each to a statement below.

  • A

    mean = median ≠ mode

  • B

    mean>median>mode

  • C

    mean = median = mode

    Review question 17 solution

  • A

    uniform

  • B

    exponential

  • C

    normal
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Source:  OpenStax, Collaborative statistics homework book: custom version modified by r. bloom. OpenStax CNX. Dec 23, 2009 Download for free at http://legacy.cnx.org/content/col10619/1.2
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