What is the answer to this statistics problem?
If you're new here, you may want to subscribe to my RSS feed. Thanks for visiting!
A new weight-watching company, Weight Reducers International, advertises that those
who join will lose, on the average, 10 pounds the first two weeks with a standard deviation
of 2.8 pounds. A random sample of 50 people who joined the new weight reduction program revealed the mean loss to be 9 pounds. At the .05 level of significance, can we conclude that those joining Weight Reducers on average will lose less than 10 pounds?
Determine the p-value.
Calculate the test statistic:
z = (9 – 10)/(2.8/sqrt(50)) = -2.525
And from the z-table, we find P(z < -2.525) = 0.0058
So we reject the null hypothesis. There is strong evidence to suggest
that the average weight loss at weight watchers is less than 10 pounds.
Good luck in your studies,
~ Mitch ~