The winning team's score in 7 high school basketball games was recorded. If the sample mean is 68.3 points and the sample standard deviation is 13.0 points, find the 98% confidence interval of the true mean.

Question

Quizplus · Accepted Answer

Using the formula for a confidence interval:

CI = x̄ ± z*(σ/√n)

where x̄ = sample mean, σ = sample standard deviation, n = sample size, and z = z-score

We can solve for the interval using a z-table to find the z-score with a 98% confidence level, which is 2.33.

Plugging in the values:

CI = 68.3 ± 2.33*(13.0/√7)

CI = (50.7, 85.9)

Therefore, the 98% confidence interval of the true mean is (50.7, 85.9). Choice B is the correct answer.

The Winning Team's Score in 7 High School Basketball Games