Question

state rejection rule and conclusion

B r u· B-I et . A . E 리 트프 $-% , MAS Fond tin al For atas Shell. Insert Deine Format I Merge & Center . Formatting Table Styles- Font Alignment cear. Cels l Hypothesis Test About a Population Mean with o unknown alue est Sample Size Sample Mean Sample Standard Deviat 40.0000 7.1944 0.9846 Sate the Hypotheses Find the test statistic, t Cuncusion Ho: μ = 7 1.2486 Hypothesized Value 7.0000 State the Rejection Rule 0.1557 1.2486 2-Tail Test (critical value t -2.023 and t +2.023) Hypothesis Test (alpha: 05 Standar Error Test Statistics, t Degrees of Freedom 39.0000 7 State Hypotheses Ho: μ 0.8904 0.1096 0.2192 p-value (lower tail) p-value (upper tail) p-value (2 tails) Find the test statistic, t State the Rejection Rule Conclusion 1.2486 Upper-Tail Test lp-value) Hypothesis Test (alphas 05) t1 Display Settings e to search

Answer 1

here test statistics = 1.2486

n = 40, so degree of freedom (dof) = 39

from table, for 2 tail test, p value = 0.2193

and given that alpha = 0.05

The p-value measures the probability of getting a more extreme value than the one you got from the experiment. If the p-value is greater than alpha, you fail to reject the null hypothesis. If it is less than alpha, you reject the null hypothesis.

and here, p value is greater than alpha, so CONCLUSION: FAIL TO REJECT THE NULL HYPOTHESIS