Show that for a sample of n 31, the smallest and largest Z-values are 1.86 and+1

Question

Show that for a sample of n 31, the smallest and largest Z-values are 1.86 and+1.86 and the middle (that is, 16th) Z-value is 0.00 Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table -? With 31 observations, the smallest of the standard normal quantile values covers an area under the normal curve of 32 The largest of the standard normal quantile values covers an area under the normal curve of-=| | . The corresponding Z-value is + 1.86. The middle of the standard quantile values covers an area under the normal curve of 32-L. The corresponding Z-value is 0.00 |. The corresponding Z-value is-1.86 32 (Type integers or decimals rounded to four decimal places as needed.)

Explanation / Answer

The smallest of the standard normal quantile values covers an area under the normal curve of 1/32 = 0.0314

The largest of the standard normal quantile values covers an area under the normal curve of 31/32 = 0.9686

The middle of the standard normal quantile values covers an area under the normal curve of 16/32 = 0.5000

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