Question

38) A coach discovered a new diet supplement that clalms it wil itsz player's free throws (F). A study was conducted where a sample otwas received the diet supplement and tested to see if Their average significantly different when compared to the population ave alpha of 0.01. free throws was rage of 100 using an Using the tables provided below: conclusio d have been made. In you answer be sure One-Sample Statistics Std. Deviation Std. Error Mean 52 107.58 13.715 1.902 One-Sample Test Test Value = 100 95% Confidence Interval of the Difference Mean Difference Sig. (2 tailed) Upper Lower df 11.40 3.76 7.577 3.984 51

Answer 1

The Hypothesis:

H0: $\mu$ = 100

Ha: $\mu \neq$ 100

This is a 2 tailed test

The Decision rule is that if p value is < $\alpha$, Then reject H0.

Here p value(0.000) is < $\alpha$ (0.01), Hence we reject H0.

Conclusion: There is sufficient evidence at the 0.01 level to conclude that there is a significant difference in the average free throws as compared to the population average of 100.

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Since we are rejecting the null hypothesis, it could be possible that we are making a Type I error.

A Type I error is the incorrect Rejection of a true null hypothesis. In this case it means that the null hypothesis of $\mu$ = 100 is rejected and we accept the alternative, when actually the null hypothesis is true.