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Which distribution do you use when the standard deviation is not known and you are testing one population mean? Assume sample size is large.

Short Answer

Expert verified

If the standard deviation values are unknown and I am testing one population mean, the student's t-distribution method is appropriate for doing the hypothesis test.

Step by step solution

01

Given Information

A hypothesis test is usually done on a small sample of data from a larger population. This test is used to generate results from sample data based on a hypothesis.

02

Explanation

We don't know the value of standard deviation in this example, and I'm only testing one population mean. As a result, the hypothesis test can be performed using the student's

t-distribution approach. When the standard deviation value is unknown and the sample size for any given population is more than or equal to30, the Student's t-distribution is also utilized as part of the continuous probability distribution approach. When the population is normally distributed for any sample size and the standard deviation values are unknown, this procedure is utilized again. When the standard deviation values are unknown and the testing sample consists of only one population mean, the student's t-distribution approach is applicable.

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Most popular questions from this chapter

According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is 14%. Suppose that a survey is conducted to determine this yearโ€™s rate. Nine out of 70 randomly chosen N.Y. City residents reply that they smoke. Conduct a hypothesis test to determine if the rate is still 14% or if it has decreased.

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