Question

a sample of 20 observations gave a standard deviation of 3.72. Is this compatible with the hypothesis that the sample is drawn from a normal population with variance 4.35​

Answer 1

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Step-by-step explanation:

When the sample standard deviation is used to construct a confidence interval for the mean, we would use the Student's t distribution instead of the normal distribution. For a sample size of 20, a 95 percent confidence interval using the t distribution would be wider than one constructed using the z distribution.