Find the area to the left of critical value t= 2.500 when sample size is 24.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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T-Distribution and Percentiles
Find the area to the left of critical value t= 2.500 when sample size is 24.
Tell whether the statement is TRUE or FALSE.
I.
I.
1. A t-distribution is composed of bell-shaped curves. Each curve represents a degree
of freedom.
2. The t-distribution is not symmetric to its mean. It means that the distribution at the
left of the mean is not the same as the distribution at the right of the mean.
3. The variance of the distribution is greater than one unit.
4. As the sample size decreases, the t-distribution approaches the standard normal
distribution.
5. The total area under any of the curves is equal to 1.
II.
Find the critical values in two-tails using the t-table.
1. Confidence level = 90%, n = 25
2. Confidence level = 98%, n = 8
3. Confidence level = 95%, n = 10
4. Confidence level = 90%, n = 18
5. Confidence level = 99%, n = 30
%3D
%3D
%3D
%3D
Find the area under the curve t-distribution in one tail.
1. df = 7, t= 1.895
2. df = 12, t = -3.055
3. df = 24, t = 2.492
4. df = 19, t= -2.093
5. df = 14, t= 2.624
IV.
Transcribed Image Text:Find the area to the left of critical value t= 2.500 when sample size is 24. Tell whether the statement is TRUE or FALSE. I. I. 1. A t-distribution is composed of bell-shaped curves. Each curve represents a degree of freedom. 2. The t-distribution is not symmetric to its mean. It means that the distribution at the left of the mean is not the same as the distribution at the right of the mean. 3. The variance of the distribution is greater than one unit. 4. As the sample size decreases, the t-distribution approaches the standard normal distribution. 5. The total area under any of the curves is equal to 1. II. Find the critical values in two-tails using the t-table. 1. Confidence level = 90%, n = 25 2. Confidence level = 98%, n = 8 3. Confidence level = 95%, n = 10 4. Confidence level = 90%, n = 18 5. Confidence level = 99%, n = 30 %3D %3D %3D %3D Find the area under the curve t-distribution in one tail. 1. df = 7, t= 1.895 2. df = 12, t = -3.055 3. df = 24, t = 2.492 4. df = 19, t= -2.093 5. df = 14, t= 2.624 IV.
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