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The cafateria was accused of cheating students bynot giving them enough coffee in their 12oz cups. 15 cups were selected randomnly, they had a mean of 11.7 with a std dev of 0.5 at 0.01 significance level the claim that the customers were being cheated.
Thanks in advance.
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The cafateria was accused of cheating students bynot giving them enough coffee in their 12oz cups. 15 cups were selected randomnly, they had a mean of 11.7 with a std dev of 0.5 at 0.01 significance level the claim that the customers were being cheated.
Thanks in advance.
It sounds like our 0.01 significance level is our 1 - 0.01 = 99% confidence interval. We want to check the confidence interval of a small population (< 35), so we use the Student t-test. We have all 4 inputs to generate the math and answer:
Running the numbers, we get a sample mean of:
11.3157 < μ < 12.0843
We are 99% confident that our mean of 12 ounce cups is inside this interval, so I would say that the students are not being cheated.
Let me know if this explanation makes sense.
Also, if we would have had a large sample size (> 35), we could have used this confidence interval check here:
Normal Distribution Confidence
Last edited by mathceleb (2008-12-17 04:37:43)
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