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The high school athletic director is asked if football players are doing as well academically as the other student athletes. From a previous study, it is known that the average GPA for the students who are in the football team is 3.10 with a standard deviation of 0.54. After an initiative to help improve the GPA of student athletes who play football, the athletic director found that the average GPA is 3.18 from a random sample of 150 football players. Does the average GPA of the football players improve after the initiative? Use a 0.01 significance level, to conduct the test. a. Which of the following statistical tests is most appropriate in this scenario? O Two-Tailed Z-Test O One-Tailed Z-Test O Two-Tailed T-Test O One-Tailed T-Test b. What are the appropriate hypotheses for the test? O Ho : µ = 3.10 H : µ< 3.10 O Ho : µ+ 3.10 Hị : µ= 3.10 O Ho : µ = 3.10 Hị : µ> 3.10 O Ho : µ = 3.18 Hị : µ > 3.18 c. After conducting the appropriate significance test, the test statistic was found to be 1.81. Therefore, the conclusion for the test is: Reject Ho, because p-value is less than 0.01 O Fail to reject Hi , because 1.81 falls outside the critical region O Reject Ho, because 1.81 falls within the critical region

The high school athletic director is asked if football players are doing as well academically as the other student athletes. From a previous study, it is known that the average GPA for the students who are in the football team is 3.10 with a standard deviation of 0.54. After an initiative to help improve the GPA of student athletes who play football, the athletic director found that the average GPA is 3.18 from a random sample of 150 football players. Does the average GPA of the football players improve after the initiative? Use a 0.01 significance level, to conduct the test. a. Which of the following statistical tests is most appropriate in this scenario? O Two-Tailed Z-Test O One-Tailed Z-Test O Two-Tailed T-Test O One-Tailed T-Test b. What are the appropriate hypotheses for the test? O Ho : µ = 3.10 H : µ< 3.10 O Ho : µ+ 3.10 Hị : µ= 3.10 O Ho : µ = 3.10 Hị : µ> 3.10 O Ho : µ = 3.18 Hị : µ > 3.18 c. After conducting the appropriate significance test, the test statistic was found to be 1.81. Therefore, the conclusion for the test is: Reject Ho, because p-value is less than 0.01 O Fail to reject Hi , because 1.81 falls outside the critical region O Reject Ho, because 1.81 falls within the critical region

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The high school athletic director is asked if football players are doing as well academically as the other student athletes. From a previous study, it is known that the average GPA for the students who are in the football team is 3.10 with a standard deviation of 0.54. After an initiative to help improve the GPA of student athletes who play football, the athletic director found that the average GPA is 3.18 from a random sample of 150 football players. Does the average GPA of the football players improve after the initiative? Use a 0.01 significance level, to conduct the test. a. Which of the following statistical tests is most appropriate in this scenario? Two-Tailed Z-Test One-Tailed Z-Test Two-Tailed T-Test One-Tailed T-Test b. What are the appropriate hypotheses for the test? Ho : u = 3.10 Hị : µ< 3.10 Но : и+ 3.10 Н : д — 3.10 Ho : µ = 3.10 H :µ> 3.10 Но : и — 3.18 Н:и> 3.18 c. After conducting the appropriate significance test, the test statistic was found to be 1.81. Therefore, the conclusion for the test is: Reject Ho, because p-value is less than 0.01 Fail to reject Hị , because 1.81 falls outside the critical region Reject Ho, because 1.81 falls within the critical region Fail to reject Ho , because p-value is greater than 0.01
Transcribed Image Text:The high school athletic director is asked if football players are doing as well academically as the other student athletes. From a previous study, it is known that the average GPA for the students who are in the football team is 3.10 with a standard deviation of 0.54. After an initiative to help improve the GPA of student athletes who play football, the athletic director found that the average GPA is 3.18 from a random sample of 150 football players. Does the average GPA of the football players improve after the initiative? Use a 0.01 significance level, to conduct the test. a. Which of the following statistical tests is most appropriate in this scenario? Two-Tailed Z-Test One-Tailed Z-Test Two-Tailed T-Test One-Tailed T-Test b. What are the appropriate hypotheses for the test? Ho : u = 3.10 Hị : µ< 3.10 Но : и+ 3.10 Н : д — 3.10 Ho : µ = 3.10 H :µ> 3.10 Но : и — 3.18 Н:и> 3.18 c. After conducting the appropriate significance test, the test statistic was found to be 1.81. Therefore, the conclusion for the test is: Reject Ho, because p-value is less than 0.01 Fail to reject Hị , because 1.81 falls outside the critical region Reject Ho, because 1.81 falls within the critical region Fail to reject Ho , because p-value is greater than 0.01
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