A sample of 35 observations is selected from a normal population. The sample mean is 20, and the population standard deviation is 2. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ ≤ 19 H1: μ > 19
What is the p-value? (Round your answer to 4 decimal places.)
Part c)
Test Statistic :-
Z = ( X - µ ) / ( σ / √(n))
Z = ( 20 - 19 ) / ( 2 / √( 35 ))
Z = 2.96
P value = P ( Z < 2.958 ) = 0.0015
Looking for the value Z = 2.96 in standard normal table to find the P value.
Interpretation
A small p-value indicates strong evidence against the null hypothesis, so you reject the null hypothesis.
A large p-value indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.
A sample of 35 observations is selected from a normal population. The sample mean is 20,...
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