# Question: A random sample of size 36 is to be selected

A random sample of size 36 is to be selected from a population that has a mean and a standard deviation s of 10.

a. This sample of 36 has a mean value of , which belongs to a sampling distribution. Find the shape of this sampling distribution.

b. Find the mean of this sampling distribution.

c. Find the standard error of this sampling distribution.

d. What is the probability that this sample mean will be between 45 and 55?

e. What is the probability that the sample mean will have a value greater than 48?

f. What is the probability that the sample mean will be within 3 units of the mean?

a. This sample of 36 has a mean value of , which belongs to a sampling distribution. Find the shape of this sampling distribution.

b. Find the mean of this sampling distribution.

c. Find the standard error of this sampling distribution.

d. What is the probability that this sample mean will be between 45 and 55?

e. What is the probability that the sample mean will have a value greater than 48?

f. What is the probability that the sample mean will be within 3 units of the mean?

## Relevant Questions

The local bakery bakes more than a thousand 1-pound loaves of bread daily, and the weights of these loaves vary. The mean weight is 1 lb and 1 oz, or 482 grams.Assume that the standard deviation of the weights is 18 grams ...Based on data from 1996 through 2006 from the Western Regional Climate Center, the average speed of winds in Honolulu, Hawaii, equals 10.6 miles per hour. Assume that wind speeds are approximately normally distributed with a ...c. How many of the sample means in part b have values between 4 and 6? What percentage is that? d. Compare the answers to parts a and c, and explain any differences that occurred. Americans spend billions on veterinary care each year. According to the APPA National Pet Owners Survey, U.S. citizens spent $10.1 billion on pet care in 2007. The health care services offered to animals rival those provided ...The baggage weights for passengers using a particular airline are normally distributed with a mean of 20 lb and a standard deviation of 4 lb. If the limit on total luggage weight is 2125 lb, what is the probability that the ...Post your question