Jeri has conducted a study on the average salary of recent graduates in her major at State College.She has randomly selected and surveyed 25 recent graduates from her program.The annual average income of this sample of recent graduates is $34,000.Jeri knows that the population mean income for recent graduates in her area of study is $31,000 with a If she uses and a two-tailed test,what is her conclusion?
A) Reject and accept .
B) Reject and accept .
C) Reject and accept .
D) Reject and accept .

Question

Jeri has conducted a study on the average salary of recent graduates in her major at State College.She has randomly selected and surveyed 25 recent graduates from her program.The annual average income of this sample of recent graduates is $34,000.Jeri knows that the population mean income for recent graduates in her area of study is $31,000 with a  If she uses  and a two-tailed test,what is her conclusion?
A) Reject and accept . 
B) Reject and accept . 
C) Reject and accept . 
D) Reject and accept .

Quizplus · Accepted Answer

We can use a two-tailed test because the question does not provide any information on the direction of the difference. The null hypothesis is that the population mean income is $31,000. The alternative hypothesis is that it is not $31,000. 
H0: µ = $31,000 
Ha: µ ≠ $31,000 
We are given the sample mean x̄ = $34,000 and the standard deviation σ = $4,500.
We can use a t-test to calculate the test statistic: 
t = (x̄ - µ) / (σ / sqrt(n)) 
t = (34,000 - 31,000) / (4,500 / sqrt(25)) 
t = 11.11 
Using a t-table with 24 degrees of freedom (n-1), we find the critical values to be ±2.064.
Since our test statistic t = 11.11 is greater than the critical value of 2.064, we reject the null hypothesis and conclude that the population mean income for recent graduates in Jeri's area of study is significantly different from $31,000.

Jeri Has Conducted a Study on the Average Salary of Recent