Question

is the difference between the mean annual salaries of statisticians in Region 1 and Region 2 more than $6000? To decide, you selected a random sample of statisticians from each region. the results of each survey are shown. At alpha= 0.10, what should you conclude?

x̅1= 66900
σ1= 8775
n1= 44

x̅2= 5700
σ2= 9250
n2= 42

A) choose the correct Ho and Ha

B) Determine critical value(s)
_______

C) Determine the rejection region
_________

D) Calculate the standardized test statistic for u1-u2.
_________

Choose the correct answer below.
1. Fail to reject Ho. At the 1% significance level, there is sufficient evidence to support the claim that the difference between the mean annual salaries is more than $6000.
2. Fail to reject Ho. At the 1% significance level, there is insufficient evidence to support the claim that the difference between the mean annual salaries is more than $6000.
3. Reject Ho. At the 1% significance level, there is insufficient evidence to support the claim that the difference between the mean annual salaries is more than $6000.
4. Reject Ho. At the 1% significance level, there is sufficient evidence to support the claim that the difference between the mean annual salaries is more than $6000.

*please check my work.*
Ho: u1-u2 less than or equal to 6000
Ha: u1-u2 > 6000

critical value= 1.28

reject region= z>1.28

standardized test statistic = 5.09

choose correct answer= option 1

Answer 1