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11. In testing the principal's claim, can we use the t-distribution? A. Yes, because the population standard deviation is unknown, and the sample size is small. B. Yes, because the sample standard deviation is small, and variance is unknown. C. No, because the population standard deviation is greater than the sample standard deviation. D. No, because the sample size is too small for the given sample standard deviation.

11. In testing the principal's claim, can we use the t-distribution? A. Yes, because the population standard deviation is unknown, and the sample size is small. B. Yes, because the sample standard deviation is small, and variance is unknown. C. No, because the population standard deviation is greater than the sample standard deviation. D. No, because the sample size is too small for the given sample standard deviation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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11. In testing the principal's claim, can we use the t-distribution? A. Yes, because the population standard deviation is unknown, and the sample size is small. B. Yes, because the sample standard deviation is small, and variance is unknown. C. No, because the population standard deviation is greater than the sample standard deviation. D. No, because the sample size is too small for the given sample standard deviation. 12. Which property of t-distribution is NOT a property of normal distribution? A. The t-distribution curve is bell-shaped. B. The t-distribution curve is symmetrical about zero. C. In t distribution, the variance is always greater than 1. D. The total area under the t distribution curve equal to 1. 13. The following statements tell about the t-distribution EXCEPT A. The standard deviation of the t-distribution is equal to 1. C. The t-distribution has thicker tails than the normal distribution. D. The exact shape of a t-distribution depends on the degrees of freedom. B. As the degrees of freedom increase, the t-distribution tends to normal distribution. 14. Which of the following probability distribution curves has the lowest peak? A. the standard normal distribution B. a t-distribution with 5 degrees of freedom C. a t-distribution with 7 degrees of freedom D. a t-distribution with 9 degrees of freedom 15. Which of the following probability distribution curves has the thickest tails? A. a t-distribution with 25 degrees of freedom B. a t-distribution with 23 degrees of freedom C. a t-distribution with 21 degrees of freedom D. at-distribution with 19 degrees of freedom
Transcribed Image Text:11. In testing the principal's claim, can we use the t-distribution? A. Yes, because the population standard deviation is unknown, and the sample size is small. B. Yes, because the sample standard deviation is small, and variance is unknown. C. No, because the population standard deviation is greater than the sample standard deviation. D. No, because the sample size is too small for the given sample standard deviation. 12. Which property of t-distribution is NOT a property of normal distribution? A. The t-distribution curve is bell-shaped. B. The t-distribution curve is symmetrical about zero. C. In t distribution, the variance is always greater than 1. D. The total area under the t distribution curve equal to 1. 13. The following statements tell about the t-distribution EXCEPT A. The standard deviation of the t-distribution is equal to 1. C. The t-distribution has thicker tails than the normal distribution. D. The exact shape of a t-distribution depends on the degrees of freedom. B. As the degrees of freedom increase, the t-distribution tends to normal distribution. 14. Which of the following probability distribution curves has the lowest peak? A. the standard normal distribution B. a t-distribution with 5 degrees of freedom C. a t-distribution with 7 degrees of freedom D. a t-distribution with 9 degrees of freedom 15. Which of the following probability distribution curves has the thickest tails? A. a t-distribution with 25 degrees of freedom B. a t-distribution with 23 degrees of freedom C. a t-distribution with 21 degrees of freedom D. at-distribution with 19 degrees of freedom
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