# Question: Given a normal distribution with 50 and

Given a normal distribution with μ = 50 and σ = 5, if you select a sample of n = 100, what is the probability that X-bar is

a. less than 47?

b. between 47 and 49.5?

c. above 51.1?

d. There is a 35% chance that X-bar is above what value?

a. less than 47?

b. between 47 and 49.5?

c. above 51.1?

d. There is a 35% chance that X-bar is above what value?

## Relevant Questions

Why does the standard error of the mean decrease as the sample size, n, increases? In Problem 7.26, suppose that the mean amount of juice squeezed is 5.0 ounces. a. What is the probability that the sample mean amount of juice will be at least 4.60 ounces? b. The probability is 70% that the sample mean ...According to a social media blog, time spent on Tumblr, a microblogging platform and social networking website, has a mean of 20 minutes per visit. (Source: “ 2014: The year of Tumblr,” bit. ly/ QwM8ga.) Assume that ...Assuming that the population is normally distributed, construct a 95% confidence interval for the population mean, based on the following sample of size n = 7: 1 2 3 4 5 6 20 Change the value of 20 to 7 and recalculate the ...One of the major measures of the quality of service pro-vided by any organization is the speed with which the organization responds to customer complaints. A large family- held department store selling furniture and ...Post your question