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.

MATLAB: An Introduction with Applications
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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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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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