68% of statistics 99 sta 95% of statistics Mean + 1 st. Mean 1 st. 2 st dev 3 st. dev dev 2 st. dev below dev above below below above ppose that water usages in American showers are normally distributed, ing 17.8 gallons, and a standard deviation of 2.9 gallons. Estimate the pe ed % of showers use between 9.1 and 26.5 gallons. % of showers use more than 26.5 gallons. % of showers use less than 14.9 gallons.

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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68% of
statistics
Mean
95% of
statistics
99.7% of
statistics
Mean
Mean
1 st.
3 st dev
1 st.
dev
2 st. dev
below
2 st dev
above
3 st. dev
below
dev
above
below
above
Suppose that water usages in American showers are normally distributed, with an average shower
using 17.8 gallons, and a standard deviation of 2.9 gallons. Estimate the percentage of showers that
used
(a)
% of showers use between 9.1 and 26.5 gallons.
(b)
% of showers use more than 26.5 gallons.
(c)
% of showers use less than 14.9 gallons.
(d) According to the 2 Standard Deviation Rule, data values that are more than 2 standard
deviations away from the mean of the distribution are considered to be "unusually high" or
"unusually low." According to this rule, it would be unusual for an American shower to last more
than gallons.
Transcribed Image Text:68% of statistics Mean 95% of statistics 99.7% of statistics Mean Mean 1 st. 3 st dev 1 st. dev 2 st. dev below 2 st dev above 3 st. dev below dev above below above Suppose that water usages in American showers are normally distributed, with an average shower using 17.8 gallons, and a standard deviation of 2.9 gallons. Estimate the percentage of showers that used (a) % of showers use between 9.1 and 26.5 gallons. (b) % of showers use more than 26.5 gallons. (c) % of showers use less than 14.9 gallons. (d) According to the 2 Standard Deviation Rule, data values that are more than 2 standard deviations away from the mean of the distribution are considered to be "unusually high" or "unusually low." According to this rule, it would be unusual for an American shower to last more than gallons.
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