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The P-value in Example 17.6 is the probability (taking the null hypothesis = 0 t

ID: 3392131 • Letter: T

Question

The P-value in Example 17.6 is the probability (taking the null hypothesis = 0 to be true) that x takes a value at least as far from 0 in either direction as 17. For this exercise, x= 17, = 60 and the sample size is 18.

Step 1:
What is the sampling distribution of x when = 0?



Step 2:
Do a Normal probability calculation to find the P-value.

A. Normal with mean 17 and standard deviation 0.1852. B. Normal with mean 0 and standard deviation 3.3333. C. Normal with mean 0 and standard deviation 60. D. Normal with mean 0 and standard deviation 14.1421

Explanation / Answer

What is the sampling distribution of x when = 0?

mean = 0

sigma = 60 / 18 = 3.333

Normal with mean 0 and standard deviation 3.3333.

P value

Z = 17 - 0 / 3.333

Z = 5.10

p value

Normal with mean 0 and standard deviation 3.3333.

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