A Simple Random Sample from a Normal Distribution Is Taken

question 25

Essay

A simple random sample from a normal distribution is taken in order to obtain a 95% confidence interval for the population mean. If the sample size is 12, the sample mean x
is 22, and the sample standard deviation s is 5.5, what is the margin of error? Show your answer to 2 decimal places.

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Definitions:

Perfect Attendance

The achievement of being present at every required instance over a set period of time, often used in educational and work contexts.

Incentive Program

A strategy used by organizations to motivate and reward employees to exceed standard expectations.

P-value

A measure used in hypothesis testing to determine the strength of the evidence in support of a null hypothesis.

Confidence Interval

A ladder of values, extracted from samples’ statistical evaluations, that could likely contain the value of an obscure population parameter.