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URGENT! 1. A sample of 400 Regina households is selected and several variables are recorded. Which of the following statements is correct? a) Total household

URGENT!

1. A sample of 400 Regina households is selected and several variables are recorded. Which of

the following statements is correct?

a) Total household income (in $) is interval level data.

b) Socioeconomic status (recorded as "low income", "middle income", or "high income"

is nominal level data.

c) The number of people living in a household is a discrete variable.

d) The primary language spoken in the household is ordinal level data.

e) None of the above.

2. What term would best describe the shape of the given boxplot:

a) Symmetric

b) Negatively Skewed

c) Positively Skewed

d) Uniform

e) Normal

3. We have seen that outliers can produce problematic results. Rank the following measures in

order or "least affected by outliers" to "most affected by outliers".

a) mean, median, range

b) median, mean, range

c) range, median, mean

d) median, range, mean

e) range, mean, media

4. Consider the result of a fictional Stat 100 final exam taken by 120 students, as given in the

following relative frequency distribution:

Grade Less than 50 50-59 60-69 70-79 80-89 90-100

Cumulative Frequency 15% 10% 30% 25% 15% 5%

How many students received at least a 70 on this exam?

a) 54

b) 45

c) 25

d) 30

e) 66

5. According to the empirical rule, approximately what percentage of normally distributed data

lies within one standard deviation of the mean?

a) 59%

b) 68%

c) 72%

d) 95%

e) 99.7%

Note: Questions #6-#8 are based on the following sample of ages (in months) of 18 children at a

day care: 36, 42, 18, 32, 22, 22, 25, 29, 30, 31, 19, 24, 35, 29, 26, 36, 24, 28

6. The median age of the children is...

a) 29

b) 28.2

c) 30.5

d) 28.5

e) 31

7. The interquartile range for this data set is...

a) 8

b) 12

c) 16

d) 20

e) 24

8. The standard deviation of the age of children is...

a) 41.24

b) 11.33

c) 10.20

d) 6.42

e) 6.24

Note: Questions #9-#12 are based on the following grouped frequency table of the income, x, of

30 employees at a local small business (in $1000s).

Income $26

Frequency 2 11 8 5 4

9. The relative cumulative frequency of the $28

a) 11

b) 0.43

c) 0.06

d) 13

e) 0.7

10. The class that contains the 80 percentile is: th

a) $26

b) $28

c) $30

d) $32

e) $34

11. Using class-midpoints as representative values, we can estimate the mean for this data as:

a) $30,870

b) $29,790

c) $31,000

d) $30,500

e) $31,340

12. If the boss' income (the "31 employee") is $250,000, the mean income for all 31 workers is st

approximately equal to

a) $8,000

b) $30,000

c) $38,000

d) $140,000

e) $220,000

Note: Questions #13-#17 are based on the following information: The cholesterol content of

large chicken eggs is normally distributed with a mean of 200 milligrams and standard

deviation 15 milligrams.

13. What proportion of these eggs have cholesterol content above 205 milligrams?

a) 0.2004

b) 0.6293

c) 0.7250

d) 0.3300

e) 0.3707

14. What is the probability that the mean cholesterol content of a random sample of 25 of these

eggs is less than 205 milligrams?

a) 0.6293

b) 0.9525

c) 0.5793

d) 1.67

e) 0.0475

15. In sixty-seven percent of the eggs, the cholesterol content is less than a certain value "C".

Find the value of "C".

a) 0.33

b) 206.6

c) 210

d) 0.44

e) 193.4

16. To test if the claimed 200 mg value is reasonable, a sample of 60 large eggs is analyzed.

Their average cholesterol content is 196 mg. What is the P-value based on this sample?

a) 0.0197

b) 0.5239

c) 0.0524

d) 0.0317

e) 0.9803

17. We wish to estimate the cholesterol content in duck eggs. How large a sample should be

selected if we can assume that F=15 mg also holds for duck eggs, and we wish our

estimate to be correct within 5 mg with 99% confidence?

a) 8

b) 99

c) 35

d) 75

e) 60

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