Question

Consider the hypotheses shown below. Given that x = 106, o = 25, n = 43, a = 0.05, complete parts a and b. Ho: u = 112 Hy: u112 a. What conclusion should be drawn? b. Determine the p-value for this test. a. The z-test statistic is (Round to two decimal places as needed.)

Answer 1

Given,

I= 106

= 25

= 43

The hypothesis is,

HOM= 112

$H_1:\mu \neq 112$

We know that,

$z =\frac{\bar{x} - 112}{\sigma/\sqrt n}$

Therfore the test statistic is,

Z = -1.57

The corresponding p value is,

P value = 0.1155

Since the p value is greater than the level of significance, we fail to reject the null hypothesis.