Six measurements were made of the mineral content (in percent) of spinach, with the following results. Assume that the population is normally distributed. 19.1 20.8 20.8 21.4 20.5 19.7

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Six measurements were made of the mineral content (in percent) of spinach, with the following
results. Assume that the population is normally distributed.
19.1 20.8 20.8 21.4 20.5 19.7
a) Find the sample standard deviation. Answer: 0.838
b) Construct a 99% confidence interval for the population standard deviation o.
Answer: 0.46 < o< 2.92
c) Based on the confidence interval, is it reasonable to believe that the population standard
deviation might be less than 1.5? Answer: Yes, please explain.
Transcribed Image Text:Six measurements were made of the mineral content (in percent) of spinach, with the following results. Assume that the population is normally distributed. 19.1 20.8 20.8 21.4 20.5 19.7 a) Find the sample standard deviation. Answer: 0.838 b) Construct a 99% confidence interval for the population standard deviation o. Answer: 0.46 < o< 2.92 c) Based on the confidence interval, is it reasonable to believe that the population standard deviation might be less than 1.5? Answer: Yes, please explain.
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