8. A bubble tea machine set up in Paresky is designed to fill 8-ounce cups. The amount poured into the cups from the machine follows a normal distribution with mean of 7 ounces and standard deviation of 0.3 ounce. If one hundred filled cups are randomly selected and the number of ounces in each cup is measured, then there is about a 95% chance that the sample mean will fall in what interval about the mean? Defend your method and show your work (a sketch will help).

MATLAB: An Introduction with Applications
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8. A bubble tea machine set up in Paresky is designed to fill 8-ounce cups. The amount poured into
the cups from the machine follows a normal distribution with mean of 7 ounces and standard
deviation of 0.3 ounce. If one hundred filled cups are randomly selected and the number of ounces
in each cup is measured, then there is about a 95% chance that the sample mean will fall in what
interval about the mean? Defend your method and show your work (a sketch will help).
Transcribed Image Text:8. A bubble tea machine set up in Paresky is designed to fill 8-ounce cups. The amount poured into the cups from the machine follows a normal distribution with mean of 7 ounces and standard deviation of 0.3 ounce. If one hundred filled cups are randomly selected and the number of ounces in each cup is measured, then there is about a 95% chance that the sample mean will fall in what interval about the mean? Defend your method and show your work (a sketch will help).
Expert Solution
Step 1

Given:

Mean, x = 7

Standard Deviation, σ = 0.3

Sample Size, n = 100

Confidence Interval= 95%

Assume, the amount poured into the cups from the machine follows a normal distribution.

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