Suppose that people usually lost about 15 pounds

1. Suppose that people usually lost about 15 pounds when they are a diet for six month, with a standard deviation of 4 pounds. A sample of 20 adults (10 males and 10 females) enrolled in a weight control program. The mean weight loss for the sample is 16 pounds after six months, with a standard deviation of 6 pounds. Is this sample representative of the population with respect to the number of pounds lost?

What kind of test can we use?Write down the null and alternative hypothesis.Find the critical value (make sure it is a one-tailed or two-tailed test).Calculate the test statistics.Make the decision.Calculate the effect size.

2. We have a random sample of 30 12^th grade students who can do 25 pushups on the average, with a standard deviation of 9, after completing a special physical education program. Does this value of 25 differ significantly from the population value of 20?

What kind of test can we use?What is the test value?Write down the null and alternative hypothesis.Find the critical value (make sure it is a one-tailed or two-tailed test).Calculate the test statistics.Make the decision.Calculate the effect size.