Math 221 Week 3 Quiz complete solutions correct answers key

Math 221 Week 3 Quiz complete solutions correct answers key

Show as much work when possible for partial credit!!

Determine whether the given value is a statistic or parameter.

1. Ninety subway sandwiches were sampled and measured after allegations of “Footlong” subs not really being

12 inches in length. The mean of the sample was 11.48 inches.

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2. It was found that 392 of all the students in a senior class plan on attending college.

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Determine if the following data is quantitative or qualitative.

3. Due to complaints about physical injury from riding a new wooden roller coaster, a safety study is conducted by first analyzing the number of daily complaints over the last 6 months.

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4. A hotel survey asks customers to rate how likely they are to recommend a stay at their hotel to a family member or friend as “Not Likely”, “Likely”, or “Definitely Likely”

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Consider the following statistical studies. Which method of data collection would you use to collect data for each study: Observational Study, Experiment, Simulation, or Survey?

5. A study of employee satisfaction at a large corporation.

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6. To study the effectiveness of a new diet pill, a research group randomly assigns the diet pill to one group of individuals while the other group receives a placebo. For 6 months, both groups will follow the same diet and exercise regime to control for those two variables.

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7. A study of the affects an 8.0 or higher earthquake would have in New York City.

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8. A researcher is conducting a study about the fatal effects of driving under the influence of sleeping pills. She collects data by researching old records of fatalities caused due to driving under the influence of sleeping pills.

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Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.

9. The temperature of the Indian ocean at various depths.

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10. The weights of large-mouth bass at a fishing competition.

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11. The ranking of the best restaurants on the Riverwalk.

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12. Names of major grocery stores in the U.S.

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For problems 13-15, answer the following questions about symbols you’ve learned (used) this semester.

13. The mean final exam score for an entire class of 122 statistic students at a state university is 76.1. The value of 76.1 can be represented by which of the following symbols?

a. n

b. 𝑥̅

c. 𝜇

d. 𝜎

14. To calculate a sample mean (𝑥̅), you would take the summation of the data values and divide that sum by the sample size. What two symbols would you find in the formula for 𝑥̅, representing the underlined terms above?

a. 𝜎 and n

b. Σ and n

c. s and N

d. Σ and N

15. The standard deviation of the GPA’s for random sample of seniors at Highlands High school was determined to be 0.43. The value of 0.43 can be represented by which of the following symbols?

a. s

b. 𝜎

c. 𝜇

d. s2

16. The final exam grades for a graduate level course in Accounting are listed below:

78 80 82 88 95 75 86 21 91 77 80 92 75

Which statement below best summarizes the data above regarding finding the central value.

a. The mode of 75 is the best value representing the central value for the data.

b. The mean is the best value to represent the central value of grades because there does not appear to be any outliers in the data.

c. The median is the best value to represent the central value of grades because there appears to be an outlier in the data.

d. It doesn’t matter if either the mean or median is used because they always calculate to be the same value.

17. Find the z-scores for each score to determine which is relatively better with respect to their own class: Beverly who scored of 96 on a psychology test or Jasmine who scored of 77 on an economics test? Scores on the psychology test have a mean of 88 and a standard deviation of 12. Scores on the economics test have a mean of 68 and a standard deviation of 8. Explain. (Round z-scores to 2 decimal places)

18. Refer to excel dataset “Weight of Discarded Garbage for One Week” under DocSharing and using the variable “FOOD” (which is the amount of food discarded in one week measured in pounds), find the following: (use StatCrunch and round each answer to two decimal place when necessary)

a. The mean b. The median

c. The mode d. The range

e. The variance f. The standard deviation

The following sample data was collected from a final test by a typing teacher. The data is in words per minute. 10

12

19

19

21

22

25

28

28

29

30

33

35

36

37

38

38

39

41

42

44

45

46

47

47

49

49

52

53

55

55

56

56

63

67

68

75

77

85

91