Question

Suppose you have the following null and alternative hypotheses: H₀: μ = 81 and H₁: μ ≠ 81.
You collect a sample of data from a population that is normally distributed . The sample size is 19, the sample mean is 84.9, and the population standard deviation is 5.7.

What is your p-value and conclusion? Test at a level of significance of 0.01.

A. 0.0080, Do Not Reject

B. 0.0029, Reject

C. 0.0029, Do Not Reject

D. 0.0064, Reject

E. 0.0080, Reject

F. 0.0014, Reject

Suppose you do not reject the null hypothesis H₀: μ = 76. It turns out the population mean is actually equal to 78.   You have made a

A. Type I error

B. Type II error

C. Type I and Type II errors

D. the correct decision

Answer 1

Answer 1

using TI-84 calculator

Press STAT then TESTS then Z-test

enter the data as follows

Press Enter

we get

p value = 0.0029

p value is less than significance level of 0.01, rejecting the Ho because result is significant

option B is correct

Answer 2

This is correct decision or option D

because claim is that the mean is 76 and we dont rejected the null hypothesis and it turns out the decision was correct. So, there is no error