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You are performing a hypothesis test of a single population mean using a Student’s t-distribution. What must you assume about the distribution of the data?

Short Answer

Expert verified

The data should follow a normal distribution, according to the assumption.

Step by step solution

01

Given Information

When utilizing Student's t-distribution to run a hypothesis test on a single population mean, some assumptions about data distribution must be made

02

Explanation

The student's t-distribution is used to run a hypothesis test on a single population mean. The t-distribution is applied to normally distributed data. In this situation, regardless of the sample size, the original population should have a normal distribution for employing the t-distribution of the students. The single population mean is presented in this example since there is no standard deviation. As a result, the assumption to be made is that the data is distributed normally.

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