Player First
Round Final
Round
Golfer 11 72 72
Golfer 12 72 70
Golfer 13 70 73
Golfer 14 70 77
Golfer 15 68 70
Golfer 16 68 66
Golfer 17 71 70
Golfer 18 70 68
Golfer 19 69 68
Golfer 20 67 71
Suppose you would like to determine if the mean score for the first round of a golf tournament event is significantly different than the mean score for the fourth and final round. Does the pressure of playing in the final round cause scores to go up? Or does the increased player concentration cause scores to come down?
(a) Use α = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores. State the null and alternative hypotheses. (Use μd = mean score first round − mean score fourth round.
Calculate the value of the test statistic. (Round your answer to three decimal places.)
Calculate the p-value. (Round your answer to four decimal places.)
p-value =
(b) What is the point estimate of the difference between the two population means? (Use mean score first round − mean score fourth round.)

Null Hypothesis: The null hypothesis is a typical statistical theory which suggests that no statistical relationship and significance exists in a set of given single observed variable, between two sets of observed data and measured phenomena.

The information presented here represents the golfers' first and final round scores.

a. α= 0.10 is the significance level.

The following hypothesis test can be created:

Hypothesis of nullity H₀ μₐ= 0

This suggests that the population means of the first round and final round are identical.

Alternative formulation: Hₐ μₐ≠0

This suggests that the population means of the first round and final round are different.

The test statistic is now:

t=(d-meanₐ)[tex]\sqrt{n}[/tex]/sₐ

Excel can be used to determine the test statistic.

This will result in: 0.10<P<0.20.

b. The 90% confidence level is the primary margin of error. This indicates that there is no discernible difference, and the result is -1.05.

To learn more about Null Hypothesis visit:

brainly.com/question/28920252

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