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1. At df = 14, what is the critical t-value for an lower-tail probability of 0.05? а. -1.761 b. 1.708 с. -1.697 d. 1.676 -Select- v 2. A statistical procedure returned a test statistic of t = 0.833, df = 27. What is the upper-tail p-value for the test statistic? a. 0.833 b. 0.206 c. 0.211 d. 0.794

1. At df = 14, what is the critical t-value for an lower-tail probability of 0.05? а. -1.761 b. 1.708 с. -1.697 d. 1.676 -Select- v 2. A statistical procedure returned a test statistic of t = 0.833, df = 27. What is the upper-tail p-value for the test statistic? a. 0.833 b. 0.206 c. 0.211 d. 0.794

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Probabilities (Upper Tail) for the t Distribution

Conceptual Overview: This graph is a utility for finding critical values for the t distribution.

NOTE: This graph can be used instead of a standard table of t values found in a textbook.

Use the slider to select the df, the degrees of freedom. Then drag the area of the upper tail to select the desired probability for the tail area.

The left boundary edge the upper tail area is the critical value and corresponds to the entries in a standard table of t-values.

1. At \( df = 14 \), what is the critical t-value for a lower-tail probability of 0.05? - a. -1.761 - b. 1.708 - c. -1.697 - d. 1.676 - Select (dropdown menu) 2. A statistical procedure returned a test statistic of \( t = 0.833 \), \( df = 27 \). What is the upper-tail \( p \)-value for the test statistic? - a. 0.833 - b. 0.206 - c. 0.211 - d. 0.794 - Select (dropdown menu)
Transcribed Image Text:1. At \( df = 14 \), what is the critical t-value for a lower-tail probability of 0.05? - a. -1.761 - b. 1.708 - c. -1.697 - d. 1.676 - Select (dropdown menu) 2. A statistical procedure returned a test statistic of \( t = 0.833 \), \( df = 27 \). What is the upper-tail \( p \)-value for the test statistic? - a. 0.833 - b. 0.206 - c. 0.211 - d. 0.794 - Select (dropdown menu)
The image displays a chi-squared distribution graph with 2 degrees of freedom (df = 2). - **Graph Explanation:** - The x-axis ranges from -6 to 6, indicating the range of chi-squared values. - The peak of the curve is centered near zero, which is a characteristic of chi-squared distributions with low degrees of freedom. - The shaded area under the curve to the right of x = 2.92 represents the critical region for a significance level of p = 0.05. This shaded region indicates where values would be considered statistically significant in a right-tailed test. - The degree of freedom, displayed as df = 2, can be adjusted along a scale ranging from 0 to 100, showing it is a variable parameter. This visualization helps in understanding the significance threshold and how the distribution behaves with different degrees of freedom.
Transcribed Image Text:The image displays a chi-squared distribution graph with 2 degrees of freedom (df = 2). - **Graph Explanation:** - The x-axis ranges from -6 to 6, indicating the range of chi-squared values. - The peak of the curve is centered near zero, which is a characteristic of chi-squared distributions with low degrees of freedom. - The shaded area under the curve to the right of x = 2.92 represents the critical region for a significance level of p = 0.05. This shaded region indicates where values would be considered statistically significant in a right-tailed test. - The degree of freedom, displayed as df = 2, can be adjusted along a scale ranging from 0 to 100, showing it is a variable parameter. This visualization helps in understanding the significance threshold and how the distribution behaves with different degrees of freedom.
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