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submission is used for your score You may need to use the appropriate appendix table or technology to answer this question Consider the following hypothesis test A sample of 50 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use -0.05.(Round your answers to two decimal places.) (a)-52.6 Find the value of the tbest statistic State the critical values for the rejection rule. (f the test is one-tailed, enter NONE for the unused tail.) best stalistxs Stane your conclusion O Do not reject H There is insufficient evidence to cendlude that O Do not reject He There is suicent evidence to conclude that a > so O Reject M There is insulicient evidence to conclude that a> so Reject H There is sufficient eviderce to condlude that 50. Find the value of State the itical values for the nejection nule the test is one-tailed, enter NONE for the unused tail.j test statiatic s test statistic a O Do not neject Ho There is nouficient evidence to condude that >s Reject H Thare is insuficient evidence to conclude thet test is one-taled,N
math   Statistics-And-Probability   
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Answer #1

a)

(1) Null and Alternative Hypotheses The following null and alternative hypotheses need to be tested: Ho: μ < 50 Ha: μ > 50 This corresponds to a right-tailed test, for which a z-test for one mean, with known population standard deviation will be used. (2) Rejection Region Based on the information provided, the significance level is α-0.05, and the critical value for a right-tailed test is ze-1.64 The rejection region for this right-tailed test is R-fz: z> 1.64) The z-statistic is computed as follows: -Ho 52.6-50 2.517 (4) Decision about the null hypothesis Since it is observed that z 2.517 zc 1.64, it is then concluded that the null hypothesis is rejected Using the P-value approach: The p-value is p-0.0059, and since p 0.0059 < 0.05, it is concluded that the null hypothesis is rejected. (5) Conclusion It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that the population mean μ is greater than 50, at the 0.05 significance level.

Reject D option

b)

Do not reject.. A option

c)

Reject..C option

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