Question

You wish to test the following claim (Ha) ata significance level of α 0.005 Ho: H 65.3 Ha: μ < 65.3 You believe the population is normally distributed and you know the standard deviation is σ-17.2. You obtain a sample mean of M-60.5 for a sample of size n 69 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value- What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic - The test statistic is... Oin the critical region Onot in the critical region

Answer 1

Answer:

$H_0: \mu = 65.3 \ \ H_1: \mu < 65.3$

lower tail test

critical value = -2.576

test statistic = -2.318

the test statistic not in the critical region

fail to reject the null

There is not sufficient evidence to support the claim that the population mean is less than 65.3.

$z = \frac{( \bar{x}-\mu) }{\frac{\sigma}{\sqrt{n}}}$

Z Test of Hypothesis for the Mean
Data
Null Hypothesis                       m=	65.3
Level of Significance	0.005
Population Standard Deviation	17.2
Sample Size	69
Sample Mean	60.5
Intermediate Calculations
Standard Error of the Mean	2.0706
Z Test Statistic	-2.3181
Lower-Tail Test
Lower Critical Value	-2.5758
p-Value	0.0102
Do not reject the null hypothesis