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t distribution, or neither. Claim: μ = 83. Sample data: n = 24, = 103, s = 15.1. The sample data appear to come from a population with a distribution that is very far from normal, and σ is unknown.

Sagot :

Student t distribution

A measurement of a data set's deviation from the mean is referred to as "standard deviation". While a high standard deviation indicates that the data are more spread, a low standard deviation suggests that the data are clustered around the mean.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

We have,

Claim : μ = 83

Sample data : s = 15.1, n = 24, and x = 103

The hypothesis test uses the student t distribution because we are evaluating the mean in this situation, the sample standard deviation of a normal distribution is estimated or supplied, and the population's standard deviation is unknown.

Learn more about t distribution here:

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