# Test of hypothesis

I need help with proving that a population mean is not 150. Use an alpha of 5% and set up the full, detailed, five step hypothesis test. Assume when the sample 200 is taken the sample standard deviation is 10 and the sample mean is 151.77.

What is the p value?

Describe the steps in formal hypothesis testing. Make at least one comment for each step.

https://brainmass.com/statistics/hypothesis-testing/test-hypothesis-population-mean-226256

#### Solution Preview

** See ATTACHED Excel file for complete details **

What is the p value?

Describe the steps in formal hypothesis testing. Make at least one comment for each step.

Data

Hypothesized mean= 150

Standard deviation= 10

Sample mean= 151.77

Sample size= 200

Significance level= 0.05 0r 5%

Population standard deviation (Known, Not Known)= Not Known

1) Hypothesis

Null Hypothesis: Ho: M = 150 (:Mean is 150 )

Alternative Hypothesis: H1: ...

#### Solution Summary

This solution tests the hypothesis that a population mean is not 150. It helps determine p value and describes the step in formal hypothesis testing.