Question

In: Statistics and Probability

The annual wages of American farm laborers in 1926 were normally distributed with a mean of...

The annual wages of American farm laborers in 1926 were normally distributed with a mean of $586 and a standard deviation of $97. In 1926, a) What percentage of American farm laborers had an annual wage between $500 and $700? b) What percentage of American farm laborers had an annual wage above $400? c) Find the 75 th Percentile of the farm laborers’ annual wage

please be specific

Solutions

Expert Solution


Related Solutions

The weights of ripe watermelons grown at a farm are normally distributed with a mean of...
The weights of ripe watermelons grown at a farm are normally distributed with a mean of 12.2 pounds and a standard deviation of 1.2 pounds. What is the probability that a watermelon weighs more than 13.5 pounds? (round to 3 decimal places)   What is the probability that a watermelon weighs less than 12 pounds? (round to 3 decimal places)   What is the probability that a watermelon weighs between 11.3 and 12 pounds? (round to 3 decimal places)   What is the...
The weight of navel oranges of a domestic farm is normally distributed with a mean of...
The weight of navel oranges of a domestic farm is normally distributed with a mean of 8.0oz and a standard deviation of 1.5oz. Suppose that you bought 10 oranges randomly sampled. a) what are the mean of the sampling distribution and the standard error of the mean? b) what is the probability that the sample mean is between 8.5 and 10.0 oz? c) The probability is 90% that the sample mean will be between what two values symmetrically distributed around...
The weekly wages of steel workers at a steel plant are normally distributed with a mean...
The weekly wages of steel workers at a steel plant are normally distributed with a mean weekly wage of $940 and a standard deviation of $85. There are 1540 steel workers at this plant. a) What is the probability that a randomly selected steel worker has a weekly wage i) Of more than $850? ii) Between $910 and $960? b) What percentage of steel workers have a weekly wage of at most $820? c) Determine the total number of steel...
The height, X , of American teens is distributed normally with a mean u = 65.5...
The height, X , of American teens is distributed normally with a mean u = 65.5 inches and the standard deviation o = 2.5 inches. Find the probability of each of the following events. a. ? < 67 inches b. 64 < X < 67 inches
The heights of North American women are normally distributed with a mean of 64 inches and...
The heights of North American women are normally distributed with a mean of 64 inches and a standard deviation of 2 inches. (a) What is the probability that a randomly selected woman is taller than 66 inches? (b) A random sample of 40 women is selected. What is the probability that the sample mean height is greater than 66 inches?
The heights of American women 18 to 29 are normally distributed with a mean of 65...
The heights of American women 18 to 29 are normally distributed with a mean of 65 inches and a standard deviation of 3.5 inches. An American woman in this age bracket is chosen at random. What is the probability that she is more than 68 inches stall? What is the probability that she is less than 64 inches tall? What is the probability that she is between 63 and 67 inches tall? What is the probability that an American woman's...
The weights of American newborn babies are normally distributed with a mean of 119.54 oz (...
The weights of American newborn babies are normally distributed with a mean of 119.54 oz ( about 7 pounds 8 ounces) and a population standard deviation of .61 oz. A sample of 11 newborn babies is randomly selected from the population. (a) find the standard error of the sampling distribution. Round your answer to 4 decimal places. (b) Using your answer to part (a), what is the probability that in a random sample of 11 newborn babies, the mean weight...
The results on the Spanish regents were normally distributed with a mean of 82 and a...
The results on the Spanish regents were normally distributed with a mean of 82 and a standard deviation of 2.5. The results on the French regents were normally distributed with a mean of 84 and a standard deviation of 3. If you scored between an 75 and 84 on the Spanish regents, what would someone need to score on the French regents to do as well as you? (Hint: find the z-scores for the Spanish regents first!)
Assume the cholesterol levels of adult American women are normally distributed with a mean of 190...
Assume the cholesterol levels of adult American women are normally distributed with a mean of 190 mg/dL and a standard deviation of 26 mg/dL. What percent of adult women do you expect to have cholesterol levels of at least 200 mg/dL ? (Round to tenths)    b What percent of adult women do you expect to have cholesterol levels between 150 and 170 mg/dL ? (Round to tenths) Above what value are the top 15% of women’s cholesterol levels ?...
3. Assume that the body weights of American men are normally distributed and have a mean...
3. Assume that the body weights of American men are normally distributed and have a mean of 182 pounds and a standard deviation of 20 pounds. a) If you select just one man at random, what is the probability that he weighs between 151 and 171 pounds? (Use Table 8.1) b) According to the Rule of Sample Means, if multiple random samples of 25 men are collected and the sample mean weight is calculated for each sample, what should the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT