Given the following hypotheses: 

H0 : μ = 400 

H1 : μ ≠ 400 

A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:

a. 
State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)
 
Reject H0 when the test statistic is (Click to select)insideoutside the interval (,  ). 

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

Value of the test statistic    

c. What is your decision regarding the null hypothesis? 
    
Do not reject 
Reject 
 
So far I have t=xbar-mean/s squareroot6

Having trouble understanding how to find all of it, im so lost... :.(

a.

Decision rule: Reject null or  if the test statistic is OUTSIDE the interval: - 3.106 to 3.106

b.









 



c. 

With significance level (α) of .01, and degree of freedom of 11 (12 – 1), the t-critical values are: - 3.106 and 3.106. 

The test statistic: 4.041 is greater than the right t-critical value: 3.106, and therefore falls in the reject region

Decision: Reject null or Reject : μ = 400.  

There is sufficient evidence to warrant the rejection of the null hypothesis that:  

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