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You Are Given the Following Information Obtained from a Random

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You are given the following information obtained from a random sample of 5 observations. Assume the population has a normal distribution.
You are given the following information obtained from a random sample of 5 observations. Assume the population has a normal distribution.    You want to determine whether or not the mean of the population from which this sample was taken is significantly less than 21.  a.State the null and the alternative hypotheses. b.Compute the standard error of the mean. c.Determine the test statistic. d.Determine the p-value and at 90% confidence, test whether or not the mean of the population is significantly less than 21. You want to determine whether or not the mean of the population from which this sample was taken is significantly less than 21.
a.State the null and the alternative hypotheses.
b.Compute the standard error of the mean.
c.Determine the test statistic.
d.Determine the p-value and at 90% confidence, test whether or not the mean of the population is significantly less than 21.


Definitions:

Given Event

An occurrence or outcome within a probability space that has a specified probability attached to it.

Independent Events

Two or more events whose outcomes do not affect each other, meaning the occurrence of one event does not change the probability of the other.

Probability

A measure of the likelihood that an event will occur, expressed as a number between 0 and 1, where 1 indicates certainty.

Marginal Probability

The probability of an event occurring, irrespective of the outcomes of other variables.

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