Author Question: A random sample of 800 high school boys showed that 420 had done strenuous exercise during the past ... (Read 207 times)

dbose · **on:** Jul 24, 2018

A random sample of 800 high school boys showed that 420 had done strenuous exercise during the past year. The researcher wants to test the hypotheses below for p = the proportion of all high school boys who do strenuous exercise. H0: p 0.50 Ha: p > 0.50 Report the conclusion in the context of the situation.

Question 2

The household income in a certain community is known to have a right skewed distribution with a mean of 42,000 and a standard deviation of 5,000 . Without knowing the exact distribution we cannot find the probability that a randomly selected household has a yearly income less than 41,000 . Suppose we randomly sample 80 incomes from this population, what is the (approximate) probability that the average income in the sample is less than 41,000?

pikon · **Reply #1 on:** Jul 24, 2018

Answer to Question 1

The evidence is not strong enough to discount the possibility that the proportion of boys who do strenuous exercise is 50 or less.

Answer to Question 2

0.0368