2. A random sample of receipts for individuals eating at the Terrace Restaurant showed the sample mean to be X $10.39 with sample standard deviations = $2.15. (a) Use Chebyshev's Theorem to find the smallest interval centered on the mean in which we can expect at least 88.9% of the data to fall. (b) If our sample is normally distributed, what interval will contain exactly 95% of our data?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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2. A random sample of receipts for individuals eating at the Terrace Restaurant showed the
sample mean to be X = $10.39 with sample standard deviation s = $2.15.
(a) Use Chebyshev's Theorem to find the smallest interval centered on the mean in
which we can expect at least 88.9% of the data to fall.
(b) If our sample is normally distributed, what interval will contain exactly 95% of our
data?
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Transcribed Image Text:sign Layout References Mailings Review View nd 12 A- A- AaßbCcDdEe AabbCcDdEe AaBbCcDd AaBbCcDdl AaBbCcDdEe AalbCcDdle AabbCcDdEe U- abe A- II Medium Grid 2 Nermal Heading 1 Heading 2 Heading 3 Heading 4 Heading 5 2. A random sample of receipts for individuals eating at the Terrace Restaurant showed the sample mean to be X = $10.39 with sample standard deviation s = $2.15. (a) Use Chebyshev's Theorem to find the smallest interval centered on the mean in which we can expect at least 88.9% of the data to fall. (b) If our sample is normally distributed, what interval will contain exactly 95% of our data? 615 words English (United States) O Focus Mac 吕0, F2 F3 F7 FE F9 @ $ % & * 2 3 4 5 6 8 9 W E R U P D F G H K C V В N M
Expert Solution
Step 1

The normal distribution is used in statistics.

Using chebyshev's theorem,  atleast 1-1/K2 values lies within k standard deviations.

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