The owner of a factory that sells a particular brand of bottled fruit juice claims that the average capacity of their product is 250 mL. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then finds the mean capacity to be 248 mL with a standard deviation of 5 mL. Is the claim true?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Test the hypotheses in each given situation. Draw a conclusion from
each situation presented.
The owner of a factory that sells
a particular brand of bottled fruit
juice claims that the average
capacity of their product is 250
mL. To test the claim, a consumer
According to a study done in
2019, the average monthly
expenses for cell phone loads of
high school students in Manila
was Php 350.00. A Statistics
student claims that this amount
group gets a sample of 100 such
bottles, calculates the capacity of
each bottle, and then finds the
mean capacity to be 248 mL with
a standard deviation of 5 mL. Is
the claim true?
has increased to Php 380.00 with
a standard deviation of Php
77.00 for 200 students since
January 2020. Is there enough
evidence to support that claim?
Use a 0.05 level of significance.
Transcribed Image Text:Test the hypotheses in each given situation. Draw a conclusion from each situation presented. The owner of a factory that sells a particular brand of bottled fruit juice claims that the average capacity of their product is 250 mL. To test the claim, a consumer According to a study done in 2019, the average monthly expenses for cell phone loads of high school students in Manila was Php 350.00. A Statistics student claims that this amount group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then finds the mean capacity to be 248 mL with a standard deviation of 5 mL. Is the claim true? has increased to Php 380.00 with a standard deviation of Php 77.00 for 200 students since January 2020. Is there enough evidence to support that claim? Use a 0.05 level of significance.
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