Statistics for Managers of the 27,02 Formulate and present the rationale for a hypothesis test that Par coulduse to compare the driving distances of the current and new golf balls?

Steps for hypothesis testing VARIANCE in Par, Inc. Model:

i. Stating the null hypothesis:

H0:σ 12= σ22

Ha: σ12≠σ22

ii. The number of populations for each subject?

n1 = 40, n2 = 40,

iii. The alpha

Alpha is 0.05/2 = 0.025

iv. Is the population or sample variation measure given?

σ 12= 76.61474

σ 22=  .97.94872

F Test: Two-Sample for Variances (testing for variances):

Inter-ratio data

Two populations

Normal Distribution

Interdependent random sample(s)

Therefore, we are going to proceed with t Test with Two-Samples assuming equal variances

To estimate the proportions of the current and new models, we use f-t test sample for two variances (Sawilowsky, 2002).

From the F-test results, p value = 0.2222, (p>.0.05)

F

0.782192

P(F F-critical, the differences in variance between the two models are not-statistically different. We proceed to perform the t-test while assuming equal variances.

Fail to reject the null hypothesis (not in tails)

H0:σ12= σ22 . we think variances are equal but not convinced variances are equal

Steps for hypothesis testing for Means in Par, Inc. model:

v. The alpha

Alpha is 0.05/2 = 0.025

vi. Is the population or sample variation measure given?

Ho:  .µ1 (current) = .µ2 (new)

Ha: µ1 ≠ µ2

vii. Find value t-stat.

Df

78

t-stat

1.328362

P(T

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