Answer to Question #331428 in Statistics and Probability for kiel

Question

A researcher claims that the average salary of a private school teacher is greater than P35,000 with

a standard deviation of P7,000. A sample of 35 teachers has a mean salary of P37,000. Test the

claim of the researcher. At 0.05 level of significance, test the claim of the researcher.

Answer 1

$H_0:\mu=35000.$

$H_a:\mu>35000.$

Test statistic: $z=\frac{37000-35000}{\frac{7000}{\sqrt{35}}}=1.69.$

P-value: $p=P(Z>1.69)=0.0455.$

Since the p-value is less than 0.05, reject the null hypothesis and support the claim.