A newly hired basketball coach promised a high-paced attack that will put more points on the board than the team’s previously tepid offense historically managed. After a few months, the team owner looks at the data to test the coach’s claim. He takes a sample of 49 of the team’s games under the new coach and finds that they scored an average of 95 points with a standard deviation of 9 points. Over the past 10 years, the team had averaged 93 points. What is the value of the appropriate test statistic to test the new coach’s claim at the 1% significance level?Multiple Choicez = 0.33z = 1.56t48 = 0.33t48 = 1.56
Question
A newly hired basketball coach promised a high-paced attack that will put more points on the board than the team’s previously tepid offense historically managed. After a few months, the team owner looks at the data to test the coach’s claim. He takes a sample of 49 of the team’s games under the new coach and finds that they scored an average of 95 points with a standard deviation of 9 points. Over the past 10 years, the team had averaged 93 points. What is the value of the appropriate test statistic to test the new coach’s claim at the 1% significance level?Multiple Choicez = 0.33z = 1.56t48 = 0.33t48 = 1.56
Solution
To answer this question, we need to use the formula for the t-test statistic:
t = (X̄ - μ) / (s/√n)
where: X̄ = sample mean = 95 μ = population mean = 93 s = standard deviation = 9 n = sample size = 49
Substituting these values into the formula, we get:
t = (95 - 93) / (9/√49) = 2 / (9/7) = 2 / 1.28571429 = 1.55431223
So, the value of the test statistic is approximately 1.56. Therefore, the correct answer is t48 = 1.56.
Similar Questions
What is the value of the test statistic?
A coach is examining two basketball players’ free-throw percentages over the last few games. Bob made 34 out of 85 shots and Joe made 72 out of 125 shots. The coach wants to know if Bob is a 10% worse free-throw shooter than Joe. Which of the following would be the p-value of the corresponding test?Multiple Choice0.27280.13640.45440.4322
Question 22You’re going to draw a random sample of professional football players because you want to know what percentage have completed high school. You want to have a margin of error of up to 0.03 at a confidence level of 90%. How big should your sample be?1 pointMinimum 456At least 30Minimum 748Minimum 1068
Scores on a recent Statistics test are normally distributed with a standard deviation of 6.5 points. If the professor wants to estimate the population mean test score within 1 point with 90% confidence, what sample size is needed
A sample of 39 observations is selected from a normal population. The sample mean is 43, and the population standard deviation is 6. Conduct the following test of hypothesis using the 0.02 significance level.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.