# Question: A random sample of size n 16 is obtained

A random sample of size n = 16 is obtained from a normally distributed population with a population mean of μ = 100 and a variance of σ2 = 25.

a. What is the probability that x-bar > 101?

b. What is the probability that the sample variance is greater than 45?

c. What is the probability that the sample variance is greater than 60?

a. What is the probability that x-bar > 101?

b. What is the probability that the sample variance is greater than 45?

c. What is the probability that the sample variance is greater than 60?

**View Solution:**## Answer to relevant Questions

A random sample of size n = 25 is obtained from a normally distributed population with a population mean of μ = 198 and a variance of σ2 = 100. a. What is the probability that the sample mean is greater than 200? b. What ...It is believed that first-year salaries for newly qualified accountants follow a normal distribution with a standard deviation of $2,500. A random sample of 16 observations was taken. a. Find the probability that the sample ...Each member of a random sample of 15 business economists was asked to predict the rate of inflation for the coming year. Assume that the predictions for the whole population of business economists follow a normal ...A company services home air conditioners. It has been found that times for service calls follow a Normal distribution with a mean of 60 minutes and a standard deviation of 10 minutes. A random sample of four service calls ...Scores on a particular test, taken by a large group of students, follow a normal distribution with a standard deviation of 40 points. A random sample of 16 scores was taken to estimate the population mean score. Let the ...Post your question