A Random Sample of 53 Observations Was Taken $\mu$
BConstruct a 99% Confidence Interval For Was

question 121

Essay

A random sample of 53 observations was taken. The average in the sample was 90 with a variance of 400.
a.Construct a 98% confidence interval for $\mu$ .
b.Construct a 99% confidence interval for $\mu$ .
c.Discuss why the 98% and 99% confidence intervals are different.
d.What would you expect to happen to the confidence interval in Part a if the sample size was increased? Be sure to explain your answer.

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Definitions:

Ratio

A ratio is a relationship between two numbers indicating how many times the first number contains the second or how these two quantities are proportionally related.

Circular Pool

A pool shaped in a perfect circle, often used in geometry to discuss circumference, area, and other circular measurements.

Rectangular Pool

A swimming pool shaped like a rectangle, with two pairs of parallel sides and four right angles.

Divide

A fundamental arithmetic operation that consists of determining how many times one number is contained within another.