OUESTION4 (5 points) The high school athletic director is asked if foothall play

Question

OUESTION4 (5 points) The high school athletic director is asked if foothall players are doing as well academically as the other student athletes. W direc e know from a previous study that the average GPA for the student athletes is 3.10. The athletic or randomly took a sample of 20 football players and found their average GPA is 3.18 with a standard deviation of o.54. Is there a significant evidence that football players are doing as well academically as the other student athletes? Use a 0.05 significance level.

Explanation / Answer

Hypothesis;
Null hypothesis: mean = 3.10
Alternative hypothesis: mean not equal to 3.10

Critical value for t at 0.05 = +/-2.0930

Test statistic:

x = 3.18 , s = 0.54, n = 20

t = ( x - mean)/(s/sqrt(n))
= (3.18 - 3.10) / ( 0.58/sqrt(20))
= 0.617

P value is calculated using t = 0.617 , df = 19

P value = .5446.

we do not reject the null hypothesis.

There is not significant evidence to support the claim

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