Question

Test the claim about the population​ mean,μ​, at the given level of significance using the given sample statistics

​Claim: μ not equal 7000​; alpha=0.09; sigma (SD) =374. Sample​statistics: x =7300​, n=34

1. identify the null and alternative hypotheses

2. what is the standardized test statistic

3. Determine the critical value (round to two decimal places as needed)

4. Determine the outcome and conclusion of the test (choose from choices below)

a. Fail to reject H0 - not enough evidence to reject the claim

b. Fail to reject H0 - not enough evidence to support the claim

c. reject H0 - not enough evidence to support the claim

d. reject H0 - not enough evidence to reject the claim

Answer 1

1)

Ho :   µ =   7000  
Ha :   µ ╪   7000   (Two tail test)

2)

population std dev ,    σ =    374.0000
Sample Size ,   n =    34
Sample Mean,    x̅ =   7300.0000
      
'   '   '
      
Standard Error , SE = σ/√n =   374/√34=   64.1405
Z-test statistic= (x̅ - µ )/SE =    (7300-7000)/64.1405=   4.677

3) critical z value, z* =   ±   1.70

4) reject H0 - enough evidence to support the claim