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18 Dec 2021

Given information

In a doctor's office, the standard variance of waiting time is minutes.
The sample size is people, and the standard deviation of the sample's waiting durations is minutes.

Step-by-step explanation

Step 1.

The distribution is assumed to be normal in a single variance test. The null hypothesis and alternative hypothesis are both expressed in terms of the population variance. The sample variance can be a variable, with a sample size of people, a standard deviation of for waiting times, and population size of .

Therefore, the test statistic can be stated in the format of a one-variance test

 

where and .

A single variance test is the sort of test used here.

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