A population mean is 13. The sample mean is 12.8
, and the sample standard deviation is two. The sample size is 20. What distribution should you use to perform a hypothesis test? Assume the underlying population is normal.

Short Answer

Expert verified

Student's t-distribution is used to perform a hypothesis test.

Step by step solution

01

Student's t-distribution.

The Tdistribution, often known as the Student's t-distribution, is a form of the probability distribution that has a bell shape with heavier tails than the normal distribution.

The larger tails are due to the fact that Tdistributions have a higher possibility of extreme values than normal distributions.

02

Find the distribution when we perform hypothesis test.

Given:

Population mean- 13

Sample mean- 12.8

Sample size- 20

Sample standard variance- 2

When we are testing a population mean and when the population standard deviation is unknown we use a Student'st-distribution.

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Most popular questions from this chapter

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H0:

Ha:

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ii.role="math" localid="1649760873126" n=

iii.p'=

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