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Help for Statistics 171 class in college?

How do you figure out the Hypothesis for the Mean using the t-distribution for this data?

Significance level= 0.05

H0:u=11.5

Sample Mean= 10.4835592

Sample SD= 3.546023

Sample Size=49

Test statistic=-2.0064972

Two Tailed test:

Lower critical value= -2.0106

Upper Critical Value=2.0106

Lower Tailed test:

critical value=-1.6772242

p-value=0.02522735

Upper Tailed test:

critical value= 1.6882242

p-value= 0.97477265

I dont’ know which pieces of information to use, I have a feeling that all of the tailed test information isn’t necessary, but I don’t know. I would like to know the hypothesis for the scenario, the conclusion, the p-value (I think we were supposed to find it even though it was shown, if you understand and know if I am or not please let me know), and the conclusion. Please explain to me how to do all of this as well, if you can. I am soo confused. This is for a statistics class in college. I sadly

Top 1 Answers
Kris Z

Favorite Answer

Ho is u=11.5

H1 is u not equal 11.5

this is a two tailed test

95% confidence table (consult t-score chart)

your test statistic, is inside the critical value, then you accept the claim.

the conclusion is, there is not sufficient evidence to warrwant the rejection of the null hypothesis

your p-value is 0.0505

the alpha is 0.025

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