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For a Sample of 10 Observations Drawn from a Normally

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For a sample of 10 observations drawn from a normally distributed population, we obtain the sample mean and the sample variance as 50 and 75, respectively. We want to determine whether the population variance is greater than 70. The For a sample of 10 observations drawn from a normally distributed population, we obtain the sample mean and the sample variance as 50 and 75, respectively. We want to determine whether the population variance is greater than 70. The   test statistic is A)  1.645. B)  3.325. C)  9.642. D)  16.919. test statistic is

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Definitions:

Test Statistic

A numerical value calculated from a sample used in statistical hypothesis testing to determine whether to reject the null hypothesis.

Normal Distribution

A probability distribution characterized by its symmetry surrounding the mean, demonstrating that data points close to the mean occur more frequently than those at a greater distance.

Degrees Of Freedom

Degrees Of Freedom represent the number of values in the final calculation of a statistic that are free to vary, often determining the shape of various sampling distributions.

Interaction Term

In statistical models, it represents the combined effect of two or more variables on a dependent variable, which is different from the effect of any one variable alone.

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