Confidence Interval Calculation Using Desmos

This lesson demonstrates how to use Desmos to calculate a 99% confidence interval for a population mean with a known standard deviation. It covers listing given data, finding the Z-score, calculating error, and determining the confidence interval bounds using Desmos.

What is the main objective of this lesson?

• To learn how to use Desmos for graphing functions

• To measure the weight of watermelons

• To calculate a confidence interval for a population mean using Desmos

• To understand the concept of standard deviation

What is the sample size used in this lesson?

• 40

• 60

• 30

• 50

What is the population standard deviation given in the lesson?

• 8.5 ounces

• 10.0 ounces

• 9.2 ounces

• 7.5 ounces

What area to the left of the z-score is used to find the z-score for a 99% confidence interval?

• 0.980

• 0.975

• 0.990

• 0.995

Which function in Desmos is used to find the z-score?

• Normal Distribution

• Inverse CDF

• Mean Calculation

• Standard Deviation

What is the z-score used in this lesson for a 99% confidence interval?

• 2.33

• 2.576

• 3.09

• 1.96

What formula is used to calculate the error in this lesson?

• Error = z * (s / sqrt(n))

• Error = z - (s / sqrt(n))

• Error = z * (s * sqrt(n))

• Error = z + (s / sqrt(n))

What is the calculated error to two decimal places?

• 3.35

• 3.45

• 3.55

• 3.25

What is the lower bound of the 99% confidence interval for the watermelon weight?

• 36.65 ounces

• 35.65 ounces

• 34.65 ounces

• 33.65 ounces

What is the upper bound of the 99% confidence interval for the watermelon weight?

• 41.35 ounces

• 40.35 ounces

• 42.35 ounces

• 43.35 ounces