Applet Exercise Suppose that T is a t-distributed random

Chapter 7, Problem 25E

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QUESTION:

Applet Exercise Suppose that T is a t-distributed random variable.

If T has 5 df, use Table 5, Appendix 3, to find t.10, the value such that \(P\left(T>t_{10}\right)=.10\) Find \(t_{10}\) using the applet Student’s t Probabilities and Quantiles.Refer to part (a). What quantile does \(t_{10}\) correspond to? Which percentile?Use the applet Student’s t Probabilities and Quantiles to find the value of \(t_{10}\) for t distri- butions with 30, 60, and 120 df.

Equation Transcription:

Text Transcription:

P(T >t_10)=10

t_10

t_10

Questions & Answers

QUESTION:

Applet Exercise Suppose that T is a t-distributed random variable.

If T has 5 df, use Table 5, Appendix 3, to find t.10, the value such that \(P\left(T>t_{10}\right)=.10\) Find \(t_{10}\) using the applet Student’s t Probabilities and Quantiles.Refer to part (a). What quantile does \(t_{10}\) correspond to? Which percentile?Use the applet Student’s t Probabilities and Quantiles to find the value of \(t_{10}\) for t distri- butions with 30, 60, and 120 df.

Equation Transcription:

Text Transcription:

P(T >t_10)=10

t_10

t_10

ANSWER:

Step 1 of 6

a)

For the given student’s t-distribution, it is given that there are 5 degrees of freedom. The t-statistic at 0.10 level of significance corresponding to 5 degrees of freedom from the table 5, appendix 3 is 1.476.

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