# Question: A population has a mean of 200 and a standard

A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of size 100 is selected and is used to estimate μ.

a. What is the probability that the sample mean will be within 5 of the population mean?

b. What is the probability that the sample mean will be within 10 of the population mean?

a. What is the probability that the sample mean will be within 5 of the population mean?

b. What is the probability that the sample mean will be within 10 of the population mean?

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

In the EAI sampling problem (see Figure 7.5), we showed that for n = 30, there was .5034 probability of obtaining a sample mean within ± $500 of the population mean. a. What is the probability that is within $500 of the ...The president of Doerman Distributors, Inc., believes that 30% of the firm's orders come from first-time customers. A random sample of 100 orders will be used to estimate the proportion of first-time customers. a. Assume ...Playbill magazine reported that the mean annual household income of its readers is $119,155 (Playbill, January 2006). Assume this estimate of the mean annual household income is based on a sample of 80 households, and based ...The travel-to-work time for residents of the 15 largest cities in the United States is reported in the 2003 Information Please Almanac. Suppose that a preliminary simple random sample of residents of San Francisco is used to ...A survey by Accountemps asked a sample of 200 executives to provide data on the number of minutes per day office workers waste trying to locate mislabeled, misfiled, or misplaced items. Data consistent with this survey are ...Post your question