Question

Please show workings for the three questions attached here.

I1. Consider the following hypothesis test: Hai μ # 15 A sample of 50 provided a sample mean of 14.15. The population standard deviation is 3. a. Compute the value of the test statistic. b. What is the p-value? . c. At α-.05, what is your conclusion? d. What is the rejection rule using the critical value? What is your concusion?

Answer 1

Answering the first question as HOMEWORKLIB policy

H₀ : = 15

H_A : 15

Sample size = 50

Sample mean = 14.15

Sample standard deviation = SD = 3

A) Test statistic = Z = (15 - 14.15) / 3 = 0.28333

B) P value = 0.61 [from Excel formula Norm.s.dist(0.28333,1) ]

C) Given that, Alpha = 0.05, since the p value is greater that 0.05, there is not enough evidence that we can reject H_oHence, we'll accept the Null Hypothesis.

D) The rejection rule is that if P-value is less than 0.05 (confidence interval), then we can reject the Null Hypothesis. For this problem, we'll accept the Null Hypothesis.