The amount of money raised by Clayton State teams for the Statistics Games is normally distributed, with a mean of $360 and a standard deviation of $15. Using the Empirical Rule, approximately what proportion of teams raise between $330 and $390 ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 11PPS
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The amount of money raised by Clayton State teams for the Statistics Games is normally distributed, with a
mean of $360 and a standard deviation of $15.
Using the Empirical Rule, approximately what proportion of teams raise between $330 and $390 ?
Enter Answer Here
Transcribed Image Text:The amount of money raised by Clayton State teams for the Statistics Games is normally distributed, with a mean of $360 and a standard deviation of $15. Using the Empirical Rule, approximately what proportion of teams raise between $330 and $390 ? Enter Answer Here
Find the percent of observations from a standard normal distribution that satisfies each of the following statements.
Note: Enter your answers in the form, 74.22, not 0.7422. Give your answers to at least 2 decimal places.
z > 2.19:
%
z < 2.19:
%
z > -1.86:
-1.86 < z < 2.19:
%
Transcribed Image Text:Find the percent of observations from a standard normal distribution that satisfies each of the following statements. Note: Enter your answers in the form, 74.22, not 0.7422. Give your answers to at least 2 decimal places. z > 2.19: % z < 2.19: % z > -1.86: -1.86 < z < 2.19: %
Expert Solution
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As per our guidelines we are suppose to answer only one question.

Given,mean(μ)=$360standard deviation(σ)=$15

Empirical rules:1)P(μ-σ<X<μ+σ)=68%2) P(μ-2σ<X<μ+2σ)=95%3) P(μ-3σ<X<μ+3σ)=97.5%

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