Question

Find the P-value of a test of hypothesis if the value found for the sample mean was 35.03 the Null Hypothesis assumes that the population mean is Mu=33, the population standard deviation is 8 and the sample size is

sample size is 12

Answer 1

To test the hypothesis vs

The test statistic here is

The probability which corresponds to the value 0.8790 from the normal table is the p value. ie pvalue is the area to the left side of -0.8790 in the standard normal curve+area to the right side of 0.8790 in the standard normal curve in the case of two tailed test and this area is 0.3794. In terms of probability pvalue is nothing but the probability of committing type I error. If probability of such an error exceeds 0.05 then it is concluded that null hypothesis cannot be rejected safely at 5% level of significance.