3. Suppose that a one-tail t-test is being applied to find out if the population mean is less than 50. The level of significance is 0.05 and 25 observations were sampled. The critical vale of t is: A. t= 1.708 C. t= -1.711 B. t = 1.318 D. t = -1.316

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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3. Suppose that a one-tail t-test is being applied to find out if the population
mean is less than 50. The level of significance is 0.05 and 25 observations
were sampled. The critical vale of t is:
A. t = 1.708
C. t = -1.711
B. t = 1.318
D. t = -1.316
4. Find the area under the t- distrihution from t = -2.228 to t = 2.228 when
n = 11.
A. 0.90
C. 0,975
B. 0.95
D. 0.995
5. Identify the percentile rank of the t- distribution when t = 1.699 and df =
29.
A. 90th
C. 97.5th
B. 95th
D. 99.5th
6. Which of the following is true about the t- distibution?
A. A t-distribution is composed of bell-shaped curves. Each curve
represents a degree of freedom.
B. As the sample size decreases, the t-distribution approaches the
standard normal distribution.
C. The population is not normally distributed.
D. The distribution at the left of the mean is not the same as the distribution
at the right of the mean.
7. This table shows the probabilities/areas of the t- distribution for different
degrees of freedom. This is used to find the critical values of t.
A. c- table
C. t- table
B. d – table
D. z - table
8. What are the critical values of i when n = 25 an the confidence level = 90%
in two tails?
A. +2.064
B. ±1.708
Transcribed Image Text:3. Suppose that a one-tail t-test is being applied to find out if the population mean is less than 50. The level of significance is 0.05 and 25 observations were sampled. The critical vale of t is: A. t = 1.708 C. t = -1.711 B. t = 1.318 D. t = -1.316 4. Find the area under the t- distrihution from t = -2.228 to t = 2.228 when n = 11. A. 0.90 C. 0,975 B. 0.95 D. 0.995 5. Identify the percentile rank of the t- distribution when t = 1.699 and df = 29. A. 90th C. 97.5th B. 95th D. 99.5th 6. Which of the following is true about the t- distibution? A. A t-distribution is composed of bell-shaped curves. Each curve represents a degree of freedom. B. As the sample size decreases, the t-distribution approaches the standard normal distribution. C. The population is not normally distributed. D. The distribution at the left of the mean is not the same as the distribution at the right of the mean. 7. This table shows the probabilities/areas of the t- distribution for different degrees of freedom. This is used to find the critical values of t. A. c- table C. t- table B. d – table D. z - table 8. What are the critical values of i when n = 25 an the confidence level = 90% in two tails? A. +2.064 B. ±1.708
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