company scientist is testing whether the mean level of a toxin in a newly created children’s medicine is less than 5mg, a level which could damage the children taking it. a. If the test were conducted on a sample of 5,000 bottles, explain how the results could give significant results, but still make the company hesitant about making the medicine. b. 5% is a very common significance level for significance tests, but it Is arbitrary. In this case explain what you might change the significance level to and why you would consider changing it.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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A company scientist is testing whether the mean level of a toxin in a newly
created children’s medicine is less than 5mg, a level which could damage the
children taking it.
a. If the test were conducted on a sample of 5,000 bottles, explain how
the results could give significant results, but still make the company
hesitant about making the medicine.
b. 5% is a very common significance level for significance tests, but it Is
arbitrary. In this case explain what you might change the significance
level to and why you would consider changing it.

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