Answer to Question #182130 in Statistics and Probability for Apple Assignexpt Guirhem

Question

Solve the given problem. Find the following and show your complete solution.

a. Degrees of Freedom

b. Critical Value

c. Confidence Interval

GIVEN:

A sample of six college basketball player had an average weight of 217 pounds with a sample standard deviation of 10 pounds. Find the 95% confidence interval of the true mean weight of all basketball player.

Answer 1

We have a Sample of 6 basketball players,

Mean, $\mu = 217$

Sample standard deviation, $s = 10$

a.) Degrees of freedom = Sample size - 1 $= 6-1 = 5$

b.) Critical value for 95% confidence interval = 1.96

c.)Confidence interval can be calculated using,

$CI = \mu \pm z\dfrac{s}{\sqrt n}$

$= 217 \pm (0.95) \dfrac{10}{\sqrt 6}$

$CI = 217 \pm 3.89$