help with math hw

Question

to test

Upper H0​: muμequals=100 versus

Upper H1​: muμnot equals≠​100,

a simple random sample size of =24

is obtained from a population that is known to be normally distributed.

​(a) If X=104.

and s=99​,

compute the test statistic.

t=___

round to three decimal places

Answer 1

Hi Victoria!

Assuming X has a bar on top in the actual problem (indicating it is the sample mean; otherwise this problem would be impossible), then the formula to compute the test statistic is t=(X-μ)/(s/√(n)). We're given that X=104 and s=99. μ is the mean being tested in the hypothesis test, which is given in both hypotheses as 100. n is the sample size, which is given to be 24. Plug in the values of X, μ, s, and n into the formula to find the test statistic: t=(104-100)/(99/√(24))=0.198. Make sure to use the parentheses in your calculator like I did, or it will not work.

I hope this helps!