SOLUTION: Assuming that the population standard deviation is unknown for a
randomly selected sample whose size is 11, sketch the rejection region
for a one-tailed test with 99% confidence.
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-> SOLUTION: Assuming that the population standard deviation is unknown for a
randomly selected sample whose size is 11, sketch the rejection region
for a one-tailed test with 99% confidence.
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Question 1181433: Assuming that the population standard deviation is unknown for a
randomly selected sample whose size is 11, sketch the rejection region
for a one-tailed test with 99% confidence. Does t = 2.86 fall in the
rejection region? Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! if you don't know the population standard deviation, then you're looking at a t-score with a sample size of 11 which gives you a t-score with 11 - 1 = 10 degrees of freedom.
with a one-tailed test at 99% confidence level, the critical alpha on the right side of the distribution will be .01.
the critical alpha is used to find the critical t-score.
looking up a one tailed critical alpha of .01 in the critical t-score tables gets you a critical t-score of 2.764 with 10 degrees of freedom.
your test t-score of 2.86 with 10 degrees of freedom would reside in the rejection region because it's greater than the critical t-score.
my sketch looks like this.
any area to the right of the critical t-score is in the rejection zone.
the t-score table i used gives you the critical t-score with 10 degrees of freedom as shown below.
you choose one tailed alpha of .01 and then look for the corresponding t-score with 10 degrees of freedom.
that's your critical t-score based on the critical one teiled alpha.
