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INSH 6500 UNH How Often Americans Watch the Late News Broadcast Questions

INSH 6500 UNH How Often Americans Watch the Late News Broadcast Questions

Question Description

1. A sociologist is interested is how often Americans watch the late (10 pm or 11 pm) news broadcast. Equipping the television sets in a random sample of 100 homes with electronic monitoring devices , she determines the number of newscasts watched during a particular week in October. The results are displayed in the following frequency distribution:

Days

f

0

26

1

24

2

18

3

13

4

5

5

6

6

5

7

3

Total

100

a. Calculate and interpret the mode, median and mean of the sample distribution.

Mode: 0, Median:

b. Calculate and interpret the standard deviation of the sample.

c. Is the distribution symmetric, skewed left or skewed right? What impact does this shape have on the descriptive statistics?

d. Based on these sample data, construct and interpret the 95% confidence interval for µ, the population mean.

2. The mayor of a community in Massachusetts has expressed opposition to having marijuana retail stores in the city. The public may or may not feel differently, and a local polling agency wants to find out. Surveying 580 residents, 310 are in support of allowing a marijuana retail outlet within the city, and 270 are opposed. Based on these data, determine if there is a clear and significant majority viewpoint.

3. The Martha’s Vineyard Legal Studies Center is interested in the extent to which practicing attorneys in Massachusetts perform pro bono work. They survey a random sample of 200 attorneys, asking how many hours they typically spend on pro bono activity during a typical work week. These are the results:

Hours

f

0

 45

1

65

2

37

3

29

4

16

5

8

Total

200    

a. Find the mode, median, mean, and standard deviation for pro bono hours.

b. Estimate the mean number of hours for all Massachusetts practicing attorneys with 95% confidence.

c. According to the American Bar Association, there are 43,974 attorneys in Massachusetts. What would you project is the total number of pro bono hours performed weekly by attorneys in Massachusetts?

d. The population of Massachusetts stands at 6,794,422. How many attorneys are there per 10,000 population?

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