For a t-distribution with sample size 10, P (t> 1.96) z 0.0408 and P (t< -1.96) z 0.0408. Which of the following is a property of the t-distribution illustrated by the probabilities? A With sample size 10, the tails of the curve of the t-distribution have more area than the tails of the curve of the z-distribution. B With sample size 10, the tails of the curve of the t-distribution have less area than the tails of the curve of the z-distribution. With sample size 10, the middle of the curve of the t-distribution has more area than the middle of the curve of the z-distribution. D With sample size 10, the mean of the t-distribution is greater than the mean of the z-distribution. With sample size 10, the mean of the t-distribution is less than the mean of the z-distribution.
For a t-distribution with sample size 10, P (t> 1.96) z 0.0408 and P (t< -1.96) z 0.0408. Which of the following is a property of the t-distribution illustrated by the probabilities? A With sample size 10, the tails of the curve of the t-distribution have more area than the tails of the curve of the z-distribution. B With sample size 10, the tails of the curve of the t-distribution have less area than the tails of the curve of the z-distribution. With sample size 10, the middle of the curve of the t-distribution has more area than the middle of the curve of the z-distribution. D With sample size 10, the mean of the t-distribution is greater than the mean of the z-distribution. With sample size 10, the mean of the t-distribution is less than the mean of the z-distribution.
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
Transcribed Image Text:For a t-distribution with sample size 10, P (t > 1.96) 2 0.0408 and P (t < -1.96) ~ 0.0408 . Which of the following is a property of the t-distribution illustrated by the probabilities?
A
With sample size 10, the tails of the curve of the t-distribution have more area than the tails of the curve of the z-distribution.
With sample size 10, the tails of the curve of the t-distribution have less area than the tails of the curve of the z-distribution.
With sample size 10, the middle of the curve of the t-distribution has more area than the middle of the curve of the z-distribution.
With sample size 10, the mean of the t-distribution is greater than the mean of the z-distribution.
E
With sample size 10, the mean of the t-distribution is less than the mean of the z-distribution.
B.

Transcribed Image Text:In a test of the null hypothesis Ho: = 10 against the alternative hypothesis Ha:p > 10, a sample from a normal population produces a mean of 13.4. The z-score for the sample is 2.12 and the p-value is 0.017.
Based on these statistics, which of the following conclusions could be drawn?
A
There is reason to conclude that u > 10.
Due to random fluctuation, 48.3 percent of the time a sample produces a mean larger than 10.
C
1.7 percent of the time, rejecting the alternative hypothesis is in error.
D
1.7 percent of the time, the mean is above 10.
E
98.3 percent of the time, the mean is below 10.
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