Show that for a sample of n = 27, the smallest and largest Z-values are -180 and

Question

Show that for a sample of n = 27, the smallest and largest Z-values are -180 and 1.80 and the middle (that is, 14th) Z-value is 0.00, Click here to view eage1of the cumulative standardized normal distribution table With 27 observations the smallest of the standard normal quantile values covers an area under the normal curve of 28 The corresponding Z-value is -180 The largest of the standard normal quantile values covers an area under the normal curve of L The corresponding Z-value is 1.80. The middle of the standard quantile values covers an area under the normal curve of 28 The corresponding Z value is0.00 Type integers or decimals rounded to four decimal places as needed.)

Explanation / Answer

Smallest of the standard normal quantile values covers an area under normal curve of 1 / 28 = 0.0357.

Largest of the standard normal quantile values covers an area under normal curve of 27 / 28 = 0.9643.

Middle of the standard normal quantile values covers an area under normal curve of 14 / 28 = 0.5000.

This is evident from the fact :

P( Z < -1.80) = 0.0357

P( Z < 1.80 ) = 0.9643

P( Z < 0) = 0.5000

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