Question

Given the following hypotheses: H0: μ = 480 H1: μ ≠ 480 A random sample of 14 observations is selected from a normal population. The sample mean was 488 and the sample standard deviation was 8. Using the 0.10 significance level:

State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)

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

What is your decision regarding the null hypothesis? Reject Do not reject

Answer 1

a) t critical value for two tailed alternative hypothesis for and degree of freedom 13 is

Decision rule : Reject H0 if |t| > 1.771

(b)

We have for given sample,                  
Population mean for given sample=480  
Sample mean=   488          
Sample standard deviation s=8      
Sample size =n=   14          
                  
Degree of freedom = n-1 =13      
                  

                  
t test statistic formula is

c) We reject null hypothesis , Since 3.742 > 1.771