Question

onsider the hypotheses shown below Given that x : 106, σ-27, n-47, α = 0.10, complete parts a through c below. Ho: μ-116 HA-1# 116 a. State the decision rule in terms of the critical value(s) of the test statistic. the critical value(s). Reject the null hypothesis if the calculated value of the test statistic. ▼| is | (Round to two decimal places as needed. Use a comma to separate answers as needed) b. State the calculated value of the test statistic. The test statistic is Round to two decimal places as needed.) c. State the conclusion Because the test statistic the null hypothesis and conclude the pope Enter your answer in each of the answer boxes O Type here to search

Answer 1

Given

X_bar=106, $\mu$=116, $\sigma$=27, n=47

1) test statistic Z = (x_bar - $\mu$) /($\sigma$/$\Gamma$n)

= (106-116)/(27/$\Gamma$47)

Z = - 2.54

Test statistic Z =-2.54

2) p value for Z test statistic is 0.01.

Result:

The p value (0.01) is less than 0.10. hence reject null hypothesis at 10% level of significance.

3) conclusion :

The test statistic is - 2.54. p value (0.01) is less than 0.1 . hence reject null hypothesis at 10% level of significance. It is conclude that population mean are not equal to 116.