IV. Evaluation: A. State whether each of the following statements is true or false: 1. The t-distribution has a smaller area at its tail than that of the normal distribution. 2. The shape of the t- distribution approaches normal distribution as its sample size becomes larger. 3. For a sample of size 24 from a normal population with unknown variance, the sampling distribution of the mean has a t-distribution with 23 degrees of freedom. 4. The critical value that corresponds to a 95% confidence level with sample of size = 23 is 0.02 = 2 2.069 5. The z- statistic is used when ≥ 30 while t - statistic is used when < 30.
IV. Evaluation: A. State whether each of the following statements is true or false: 1. The t-distribution has a smaller area at its tail than that of the normal distribution. 2. The shape of the t- distribution approaches normal distribution as its sample size becomes larger. 3. For a sample of size 24 from a normal population with unknown variance, the sampling distribution of the mean has a t-distribution with 23 degrees of freedom. 4. The critical value that corresponds to a 95% confidence level with sample of size = 23 is 0.02 = 2 2.069 5. The z- statistic is used when ≥ 30 while t - statistic is used when < 30.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:IV. Evaluation:
A. State whether each of the following statements is true or false:
1. The t - distribution has a smaller area at its tail than that of the normal distribution.
2. The shape of the t- distribution approaches normal distribution as its sample size becomes larger.
3. For a sample of size 24 from a normal population with unknown variance, the sampling distribution of
the mean has a t-distribution with 23 degrees of freedom.
4. The critical value that corresponds to a 95% confidence level with sample of size □ = 23 is +0.02( =
2.069
5. The z- statistic is used when ≥ 30 while t - statistic is used when < 30.
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