A coffee machine is supposed to dispense 12 ounces of coffee in each cup. An inspector selects a random sample of 28 cups of coffee and finds that they have an average amount of 12.2 ounces with a standard deviation of 0.3 ounces A) Determine whether a normal distribution or a t-distribution should be used when calculating the confidence interval. Use mathematics to explain your answer. B) calculate and interpret the 90% confidence interval. C) Use your confidence interval to test whether the machine is dispensing acceptable amounts of coffee. Use mathematics to explain y

A coffee machine is supposed to dispense 12 ounces of coffee in each cup. An inspector selects a random sample of 28 cups of coffee and finds that they have an average amount of 12.2 ounces with a standard deviation of 0.3 ounces A) Determine whether a normal distribution or a t-distribution should be used when calculating the confidence interval. Use mathematics to explain your answer. B) calculate and interpret the 90% confidence interval. C) Use your confidence interval to test whether the machine is dispensing acceptable amounts of coffee. Use mathematics to explain y

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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Question

100%

CR1.
A coffee machine is supposed to dispense 12 ounces of coffee in each cup. An inspector selects a
random sample of 28 cups of coffee and finds that they have an average amount of 12.2 ounces
with a standard deviation of 0.3_ounces
Determine whether a normal distribution or a t-distribution should be used when calculating
the confidence interval. Use mathematics to explain your answer.
1.645
Calculate and interpret the 90% confidence interval. bluorle uoy 15oiainorob
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Torhon
Use your confidence interval to test whether the machine is dispensing acceptable amounts of
coffee. Use mathematics to explain your answer.
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pilamon ad bas

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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