Question

According to a survey, 20.8% of the lawyers and judges in the United States in 1992...

According to a survey, 20.8% of the lawyers and judges in the United States in 1992 were women. For a sample of 200 judges find the mean, variance and standard deviation.

Homework Answers

Answer #1

Solution:

Given that,

P = 0.208

1 - P = 0.792

n = 200

Mean = = n*P = 200 * 0.208 = 41.6

Variance = =n*p*(1-p) = 200*0.208*0.792 = 32.9472

Standard deviation = =n*p*(1-p) = 32.9472 = 5.7400

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
According to the American Community Survey, 27% of residents of the United States 25 years old...
According to the American Community Survey, 27% of residents of the United States 25 years old or older had earned a bachelor degree. Suppose you select 12 residents of the United States 25 years old or older and recorded the number who had earned a bachelor degree. Round probabilities to 4 decimal places. Explain why this is a binomial experiment. Find and interpret the probability that exactly 5 of them had a bachelor degree. Find and interpret the probability that...
According to the National Health Survey, the heights of adult males in the United States are...
According to the National Health Survey, the heights of adult males in the United States are normally distributed with mean 69.0 inches and a standard deviation of 2.8 inches. (a) What is the probability that an adult male chosen at random is between 66 and 72 inches tall? (Round your answer to five decimal places.) (b) What percentage of the adult male population is more than 6 feet tall? (Round your answer to three decimal places.)
The height of women in the United States has a mean of 65 inches and a...
The height of women in the United States has a mean of 65 inches and a standard deviation of 3.5 inches. Find the probability that a woman chosen at random will be within 3 inches of the mean.
15) Assume that the height of adult females in the United States is approximately normally distributed...
15) Assume that the height of adult females in the United States is approximately normally distributed with a mean of 64.1 inches and a standard deviation of 2.86 inches. A sample of 8 such women is selected at random. Find the probability that the mean height of the sample is greater than 63.5 inches. Round your answer to 4 decimal places.
A current survey of 38 lawyers found an average salary of $120,000, with a sample standard...
A current survey of 38 lawyers found an average salary of $120,000, with a sample standard deviation of $10,000. We don’t know the true population mean or variance for lawyers’ salaries. Suppose that US news publishes an article saying the average lawyer’s salary in the US is $125,000, and you want to test for whether the true average salary is different than that amount What is the null and alternative hypothesis for the above test? (1 POINT) What are the...
According to Humane Society data, 39% of households in the United States have at least one...
According to Humane Society data, 39% of households in the United States have at least one dog. In the United Kingdom, 23% of households have at least one dog. Suppose you select an SRS of 75 households in the U.S. and 80 households in the U.K., and calculate p1= the proportion of households in the U.S. sample that have a dog, and p2= the proportion of households in the U.K. sample that have a dog. Which of the following best...
A sociologist is studying trends related to marriage in the United States. She polls an initial...
A sociologist is studying trends related to marriage in the United States. She polls an initial sample of 20 couples in the US to find their difference in age. The mean difference in age ?̅ is 1.875 years. The standard deviation ?? is 3.055 years. Assuming the data is composed of a proper simple random sample, find the 95% confidence interval for the mean difference in age between men and women in a couple.
A survey of CPAs across the United States found the average net income for sole proprietor...
A survey of CPAs across the United States found the average net income for sole proprietor CPAs is $114,300. Because this survey is now more than 5 years old, an accounting researcher wants to test this figure by taking a random sample of 36 sole proprietor accountants in the United States to determine whether the average net income has increased. Only 500 sole proprietorships practice in the US. The sample of 36 sole proprietor accountants had a mean of $119,000...
According to a recent survey by the National Health and Nutrition Examination Survey, the mean height...
According to a recent survey by the National Health and Nutrition Examination Survey, the mean height of adult men in the United States is 69.7 inches with a standard deviation of 3 inches. A sociologist believes that taller men may be more likely to be promoted to positions of leadership, so the mean height of male business executives would be greater than the mean heigth of of the entire male population. A SRS of of 100 male business executives has...
Binomial Distribution According to a survey, one out of four investors in the United States has...
Binomial Distribution According to a survey, one out of four investors in the United States has exchange-traded funds in their portfolios (USA Today, 11 January 2007). Consider a random sample of 20 investors drawn from the US population. a. Compute the probability that at least 2 investors have exchange-traded funds in their portfolios. b. If you found that exactly 12 investors have exchange-traded funds in their portfolios, would you doubt the accuracy of the survey results? c. Compute the expected...