# Question: A random sample of size n 50 is taken

A random sample of size n = 50 is taken from a population with mean µ = - 9.5 and standard deviation σ =2.

a. Calculate the expected value and the standard error for the sampling distribution of the sample mean.

b. What is the probability that the sample mean is less than 210?

c. What is the probability that the sample mean falls between 210 and 29?

a. Calculate the expected value and the standard error for the sampling distribution of the sample mean.

b. What is the probability that the sample mean is less than 210?

c. What is the probability that the sample mean falls between 210 and 29?

## Answer to relevant Questions

According to a recent survey, high school girls average 100 text messages daily (The Boston Globe, April 21, 2010). Assume the population standard deviation is 20 text messages. Suppose a random sample of 50 high school ...A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday ...A random sample of size n=200 is taken from a population with population proportion p=0.75. a. Calculate the expected value and the standard error for the sampling distribution of the sample proportion. b. What is the ...A random sample of size n=70 is taken from a finite population of size N=500 with mean µ = - 20 and variance σ2=324. a. Is it necessary to apply the finite population correction factor? Explain. Calculate the expected ...Random samples of size n=36 are taken from a population with mean µ =150 and standard deviation σ = 42. a. Construct the centerline and the upper and lower control limits for the x chart. b. Suppose five samples of size 36 ...Post your question