Question

rsPriviteraStats2 8.E.023 points Acheerteading squad competitions over the previo competitions this season with a received a mean r ating (out of 100 possible points) of 65 ± 8 in sons. The same cheerleading squad performed in us three sea 16 local rating equal to 68 in competitions. Suppose independent sample z-test to determine whether mean ratings increased this sea mean we conduct a one- (compared to previous three seasons) at a o.o5 level of significance. (a) State the value of the test statistic. (Round your answerto two decimal places.) State whether to retain or reject the null hypothesis. O Retain the null hypothesis. Reject the null hypothesis. lac (b) Compute effect size using Cohen's d. (Round your answer to two decimal p nay need to use the appropriate table in Appendix B to answer this question.

Answer 1

Stepl The null and altern ative hypotheses are Ho : μ 65 (The poulation mean is less than or equal to μ-65) H1 : μ > 65( The poulation mean is greater than μ= 65) Step2 The sample size is 16 The sample mean isX 68 The standard deviation is r 8 Step3 The level of significance is α = 0.05. Step4 P(z >%) < α+005. Reject Ho-Otherwise do not reject Ho. The z- score is 68-65 16 Step5 P-value 1-P(z < 15) Since, on using cxcel function = norms list (z) 1-0.933193 0.066807 P(zcz0)-[0.067] >α-0.05 we do not reject Ho P-value = 10067 Step6: Conclusion Since, the P-value = 0.067 > α = 0.05 We do not reject the null hypothesis There is sufficient evidence to conclude that the population mean is equal to 65 Hence, the answer is retain the null hypothesis Ho The formula for calculating the effect size is The effect size for this result using estimated Cohen 'sd is 68-68 = 0.375 Therefore, the effect size for this result using estimated Cohen'sd is [0375]