Statistics for Managers Individual work2 wk6 - Essay Example

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= σ22Ha: σ12≠σ22 ii. The number of populations for each subject? n1 = 40, n2 = 40, iii. The alphaAlpha is 0.05/2 = 0.025iv. Is the population or sample variation measure given?σ 12= 76.61474σ 22=  97.94872F Test: Two-Sample for Variances (testing for variances):Inter-ratio dataTwo populationsNormal DistributionInterdependent random sample(s)Therefore, we are going to proceed with t Test with Two-Samples assuming equal variancesTo 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)F0.782192P(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 equalSteps for hypothesis testing for Means in Par, Inc. model:v. The alphaAlpha is 0.05/2 = 0.025vi. Is the population or sample variation measure given?

Ho:  µ1 (current) = µ2 (new)Ha: µ1 ≠ µ2 vii. Find value t-stat.Df78t-stat1.328362P(T