Question

Given the following hypotheses: H0: μ = 440 H1: μ ≠ 440 A random sample of 10 observations is selected from a normal population. The sample mean was 445 and the sample standard deviation 4. Using the 0.05 significance level: State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)

1) Reject Ho when the test statistic is outside the interval ( , )

2.) Compute the value of the test statistic. (Round your answer to 3 decimal places.)

Answer 1

Test Statistic :-


t = 3.953

Test Criteria :-
Reject null hypothesis if   


Result :- Reject null hypothesis

Decision based on P value
P - value = P ( t > 3.9528 ) = 0.0033
Reject null hypothesis if P value < level of significance
P - value = 0.0033 < 0.05 ,hence we reject null hypothesis
Conclusion :- Reject null hypothesis

Confidence Interval



Lower Limit =
Lower Limit = 442.1386
Upper Limit =
Upper Limit = 447.8614
95% Confidence interval is ( 442.139 , 447.861 )

Since is outside the interval, hence we reject the null hypothesis.