Question

Given the hypothesis Ho:=400,you conduct a sample of 12 observations and obtain a sample mean of 407 and a sample standard deviation of 6.using a 0.01 significance level to test to see if you would reject Ho, what would be the value of your critical value?i.e the positive one?

Answer 1

given data are:-

sample mean () = 407

sample sd (s) = 6

sample size (n) = 12

here,as the sample sd is known we will use t distribution.

hypothesis:-

[ this is a both tailed test ]

df = (n-1) = (12-1) = 11

the critical value ( the positive one)for alpha=0.01,df=11,both tailed test be:-

[ using t distribution table ]

reject the null hypothesis if,

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