In each of Problems, we have provided a scenario for a confidence interval. Decide, in each case, whether the appropriate method for obtaining the confidence interval is the z-interval procedure, the t-interval procedure, or neither. A random sample of size 17 is taken from a population. A normal probability plot of the sample data is found to be very close to linear (straight line). The population standard deviation is unknown.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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In each of Problems, we have provided a scenario for a confidence interval. Decide, in each case, whether the appropriate method for obtaining the confidence interval is the z-interval procedure, the t-interval procedure, or neither.

A random sample of size 17 is taken from a population. A normal probability plot of the sample data is found to be very close to linear (straight line). The population standard deviation is unknown.

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Step 1

The following assumptions are required for the small sample confidence interval about mean to be valid.

Requirements for a small sample confidence interval about mean:

  • The sample must be drawn using simple random sampling.
  • The population standard deviation must be unknown.
  • Either the population must be approximately normal or the sample size must be greater than 30.
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