Question 280123: Suppose you incorrectly used the normal distribution to find the margin of error for a level of confidence C = 0.90, sample standard deviation s = 5, and sample size n = 16. Find the value of E using the Normal distribution and then find the correct value of E using a t-distribution. How do the results compare?
A. The margin of error using z is larger.
B. The margins of error are the same.
C. The margin of error using t is larger.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose you incorrectly used the normal distribution to find the margin of error for a level of confidence C = 0.90, sample standard deviation s = 5, and sample size n = 16. Find the value of E using the Normal distribution and then find the correct value of E using a t-distribution. How do the results compare?
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The difference will result from how the z-value differs from the t-value.
The z-value is invNorm(0.95) = 1.645
The t-value is invT(0.95,15) = 1.753
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A. The margin of error using z is larger.
B. The margins of error are the same.
C. The margin of error using t is larger.
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Ans: C
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Cheers,
Stan H.
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