Advanced Placement (AP) College

Data were collected on the ages, in years, of the men and women enrolled in a large sociology course. Let the random variables M and W represent the ages of the men and women, respectively. The distribution of M has mean 20.7 years and standard deviation 1.73 years. The distribution of W has mean 20.2 years and standard deviation 1.60 years. Of all of those enrolled in the course, 54 percent are men and 46 percent are women. What is the mean age of the combined distribution of both men and women in the course?

Answers

Answer 1

Answer:

The mean age of the combined distribution of both men and women in the course is:

20.47 years.

Explanation:

a) Data and Calculations:

Random variable M = age of men

Random variable W = age of women

Distribution of                    M:                 W:

Mean =                            20.7 years     20.2 years

Standard Deviation =       1.73 years      1.60 years

Percentage of enrolled   54%                46%

Mean Age Proportion     11.178              9.292

Combined mean age =  20.47 (11.178 + 9.292)

b) Mean Age Proportion:

M = 20.7 * 54% =   11.178

W = 20.2 * 46% = 9.292

Total                     20.47

Answer 2

The mean age of the combined distribution of both men and women in the course is 20.47 years

Mean age of men , M = 20.7 years

Mean age of Women , W = 20.2 years

Percentage of Men = 54%

Percentage of Women = 46%

Recall, :

Mean, μ = np

The mean age of men in the distribution = (20.7 × 54%) = 11.178 years

The mean age of women in the distribution = (20.2 × 46%) = 9.292 years

The mean age of the combined distribution is :

11.178 + 9.292 = 20.47 years

Therefore, the mean age of the combined distribution is 20.47 years

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Related Questions

Residents of a small city vote on whether to allow a developer to build a shopping center. The number of votes in favor of the shopping center was 4,400. The number of votes against the shopping center was 17,600. What percent of the voters were in favor of building the shopping center?

Answers

Answer: 20%

Explanation:

Number of votes in favor of the shopping center = 4,400.

Number of votes against the shopping center = 17,600

Total number of voters = 4400 + 17600 = 22000

The percent of the voters that were in favor of building the shopping center will be:

= (Number of votes in favor of the shopping center / Total number of voters) × 100

= (4400 / 22000) × 100

= 20%

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A.
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B.
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C.
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D.
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Answers

ANSWER:

D.

EXPLANATION:

The ΛCDM or Lambda-CDM model is a parametrization of the Big Bang cosmological model in which the universe contains three major components: first, a cosmological constant denoted by Lambda and associated with dark energy; second, the postulated cold dark matter; and third, ordinary matter.

Answer:

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Explanation:

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Answers

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Explanation:

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Explanation:

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Answers

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Explanation:

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Step-by-step explanation:

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Answers

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