# Question

Consider the following null and alternative hypotheses:

Ho: µ = 40 versus H1: µ ≠ 40

A random sample of 64 observations taken from this population produced a sample mean of 38.4. The population standard deviation is known to be 6.

a. If this test is made at a 2% significance level, would you reject the null hypothesis? Use the critical-value approach.

b. What is the probability of making a Type I error in part a?

c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if α = .01? What if α = .05?

Ho: µ = 40 versus H1: µ ≠ 40

A random sample of 64 observations taken from this population produced a sample mean of 38.4. The population standard deviation is known to be 6.

a. If this test is made at a 2% significance level, would you reject the null hypothesis? Use the critical-value approach.

b. What is the probability of making a Type I error in part a?

c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if α = .01? What if α = .05?

## Answer to relevant Questions

Consider the following null and alternative hypotheses: Ho: p = .80 versus H1: p ≠ .82 A random sample of 600 observations taken from this population produced a sample proportion of .86. a. If this test is made at a 2% ...According to an estimate, the average age at first marriage for men in the United States was 28.2 years in 2010 (Time, March 21, 2011). A recent sample of 200 men from Ohio who got married for the first time this year showed ...An earlier study claimed that U.S. adults spent an average of 114 minutes per day with their family. A recently taken sample of 25 adults from a city showed that they spend an average of 109 minutes per day with their ...Dartmouth Distribution Warehouse makes deliveries of a large number of products to its customers. To keep its customers happy and satisfied, the company’s policy is to deliver on time at least 90% of all the orders it ...In Las Vegas, Nevada, and Atlantic City, New Jersey, tests are performed often on the various gaming devices used in casinos. For example, dice are often tested to determine if they are balanced. Suppose you are assigned the ...Post your question

0