Question #331428

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.

1
Expert's answer
2022-04-21T10:17:47-0400

H0:μ=35000.H_0:\mu=35000.

Ha:μ>35000.H_a:\mu>35000.

Test statistic: z=3700035000700035=1.69.z=\frac{37000-35000}{\frac{7000}{\sqrt{35}}}=1.69.

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

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


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