Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Chapter 14.5, Problem 28E

a.

To determine

Find the standard error of the mean.

a.

Expert Solution
Check Mark

Answer to Problem 28E

  0.20

Explanation of Solution

Given information:

Given: A random samples of 50acorns reveals a mean diameter of 16.2millimeters with a standard deviation of 1.4millimeters .

Calculation:

Here, we have to find the standard error of the mean:

  σX¯=Standard deviationNσX¯=1.450=0.20

Hence, the standard error of the mean is 0.20 .

b.

To determine

Find the interval about the sample mean having 5% confidence level.

b.

Expert Solution
Check Mark

Answer to Problem 28E

  [15.81,16.59]

Explanation of Solution

Given information:

Given: A random samples of 50acorns reveals a mean diameter of 16.2millimeters with a standard deviation of 1.4millimeters .

Calculation:

Here, we have to find the interval:

  5%confidencelevelmeansP=95%P=95%correspondstot=1.96[X¯tσX,X¯+tσX][15.81,16.59]

Hence, the interval is [15.81,16.59] .

c.

To determine

Find the interval about the sample mean having 99% chances that true mean lies within the interval.

c.

Expert Solution
Check Mark

Answer to Problem 28E

  [15.68,16.71]

Explanation of Solution

Given information:

Given: A random samples of 50acorns reveals a mean diameter of 16.2millimeters with a standard deviation of 1.4millimeters .

Calculation:

Here, we have to find the interval:

  P=99%correspondstot=2.58[X¯tσX¯,X¯+tσX¯][15.68,16.71]

Hence, the interval is [15.68,16.71] .

d.

To determine

Find the interval about the sample mean having 0.80 chances that true mean lies within the interval.

d.

Expert Solution
Check Mark

Answer to Problem 28E

  [15.94,16.46]

Explanation of Solution

Given information:

Given: A random samples of 50acorns reveals a mean diameter of 16.2millimeters with a standard deviation of 1.4millimeters .

Calculation:

Here, we have to find the interval:

  P=80%correspondstot=1.3[X¯tσX¯,X¯+tσX¯][15.94,16.46]

Hence, the interval is [15.94,16.46] .

Chapter 14 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 14.1 - Prob. 11ECh. 14.1 - Prob. 12ECh. 14.1 - Prob. 13ECh. 14.1 - Prob. 14ECh. 14.1 - Prob. 15ECh. 14.1 - Prob. 16ECh. 14.1 - Prob. 17ECh. 14.1 - Prob. 18ECh. 14.1 - Prob. 19ECh. 14.1 - Prob. 20ECh. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.2 - Prob. 1CFUCh. 14.2 - Prob. 2CFUCh. 14.2 - Prob. 3CFUCh. 14.2 - Prob. 4CFUCh. 14.2 - Prob. 5CFUCh. 14.2 - Prob. 6CFUCh. 14.2 - Prob. 7CFUCh. 14.2 - Prob. 8CFUCh. 14.2 - Prob. 9CFUCh. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - Prob. 12ECh. 14.2 - Prob. 13ECh. 14.2 - Prob. 14ECh. 14.2 - Prob. 15ECh. 14.2 - Prob. 16ECh. 14.2 - Prob. 17ECh. 14.2 - Prob. 18ECh. 14.2 - Prob. 19ECh. 14.2 - Prob. 20ECh. 14.2 - Prob. 21ECh. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.2 - Prob. 25ECh. 14.2 - Prob. 26ECh. 14.2 - Prob. 27ECh. 14.2 - Prob. 28ECh. 14.2 - Prob. 29ECh. 14.2 - Prob. 30ECh. 14.2 - Prob. 31ECh. 14.2 - Prob. 32ECh. 14.2 - Prob. 33ECh. 14.2 - Prob. 34ECh. 14.2 - Prob. 35ECh. 14.2 - Prob. 36ECh. 14.2 - Prob. 37ECh. 14.2 - Prob. 38ECh. 14.2 - Prob. 39ECh. 14.3 - Prob. 1CFUCh. 14.3 - Prob. 2CFUCh. 14.3 - Prob. 3CFUCh. 14.3 - Prob. 4CFUCh. 14.3 - Prob. 5CFUCh. 14.3 - Prob. 6CFUCh. 14.3 - Prob. 7CFUCh. 14.3 - Prob. 8CFUCh. 14.3 - Prob. 9ECh. 14.3 - Prob. 10ECh. 14.3 - Prob. 11ECh. 14.3 - Prob. 12ECh. 14.3 - Prob. 13ECh. 14.3 - Prob. 14ECh. 14.3 - Prob. 15ECh. 14.3 - Prob. 16ECh. 14.3 - Prob. 17ECh. 14.3 - Prob. 18ECh. 14.3 - Prob. 19ECh. 14.3 - Prob. 20ECh. 14.3 - Prob. 21ECh. 14.3 - Prob. 22ECh. 14.3 - Prob. 23ECh. 14.3 - Prob. 24ECh. 14.3 - Prob. 25ECh. 14.3 - Prob. 26ECh. 14.3 - Prob. 27ECh. 14.3 - Prob. 28ECh. 14.3 - Prob. 29ECh. 14.3 - Prob. 30ECh. 14.3 - Prob. 31ECh. 14.3 - Prob. 32ECh. 14.3 - Prob. 1MCQCh. 14.3 - Prob. 2MCQCh. 14.3 - Prob. 3MCQCh. 14.3 - Prob. 4MCQCh. 14.3 - Prob. 5MCQCh. 14.3 - Prob. 6MCQCh. 14.3 - Prob. 7MCQCh. 14.3 - Prob. 8MCQCh. 14.3 - Prob. 9MCQCh. 14.3 - Prob. 10MCQCh. 14.4 - Prob. 1CFUCh. 14.4 - Prob. 2CFUCh. 14.4 - Prob. 3CFUCh. 14.4 - Prob. 4CFUCh. 14.4 - Prob. 5CFUCh. 14.4 - Prob. 6CFUCh. 14.4 - Prob. 7CFUCh. 14.4 - Prob. 8CFUCh. 14.4 - Prob. 9ECh. 14.4 - Prob. 10ECh. 14.4 - Prob. 11ECh. 14.4 - Prob. 12ECh. 14.4 - Prob. 13ECh. 14.4 - Prob. 14ECh. 14.4 - Prob. 15ECh. 14.4 - Prob. 16ECh. 14.4 - Prob. 17ECh. 14.4 - Prob. 18ECh. 14.4 - Prob. 19ECh. 14.4 - Prob. 20ECh. 14.4 - Prob. 21ECh. 14.4 - Prob. 22ECh. 14.4 - Prob. 23ECh. 14.4 - Prob. 24ECh. 14.4 - Prob. 25ECh. 14.4 - Prob. 26ECh. 14.4B - Prob. 1GCECh. 14.4B - Prob. 2GCECh. 14.4B - Prob. 3GCECh. 14.4B - Prob. 4GCECh. 14.4B - Prob. 5GCECh. 14.4B - Prob. 6GCECh. 14.4B - Prob. 7GCECh. 14.4B - Prob. 8GCECh. 14.5 - Prob. 1CFUCh. 14.5 - Prob. 2CFUCh. 14.5 - Prob. 3CFUCh. 14.5 - Prob. 4CFUCh. 14.5 - Prob. 5CFUCh. 14.5 - Prob. 6CFUCh. 14.5 - Prob. 7CFUCh. 14.5 - Prob. 8CFUCh. 14.5 - Prob. 9CFUCh. 14.5 - Prob. 10CFUCh. 14.5 - Prob. 11ECh. 14.5 - Prob. 12ECh. 14.5 - Prob. 13ECh. 14.5 - Prob. 14ECh. 14.5 - Prob. 15ECh. 14.5 - Prob. 16ECh. 14.5 - Prob. 17ECh. 14.5 - Prob. 18ECh. 14.5 - Prob. 19ECh. 14.5 - Prob. 20ECh. 14.5 - Prob. 21ECh. 14.5 - Prob. 22ECh. 14.5 - Prob. 23ECh. 14.5 - Prob. 24ECh. 14.5 - Prob. 25ECh. 14.5 - Prob. 26ECh. 14.5 - Prob. 27ECh. 14.5 - Prob. 28ECh. 14.5 - Prob. 29ECh. 14.5 - Prob. 30ECh. 14.5 - Prob. 31ECh. 14.5 - Prob. 32ECh. 14.5 - Prob. 33ECh. 14.5 - Prob. 34ECh. 14.5 - Prob. 35ECh. 14.5 - Prob. 36ECh. 14.5 - Prob. 37ECh. 14.5 - Prob. 38ECh. 14.5 - Prob. 39ECh. 14 - Prob. 1SGACh. 14 - Prob. 2SGACh. 14 - Prob. 3SGACh. 14 - Prob. 4SGACh. 14 - Prob. 5SGACh. 14 - Prob. 6SGACh. 14 - Prob. 7SGACh. 14 - Prob. 8SGACh. 14 - Prob. 9SGACh. 14 - Prob. 10SGACh. 14 - Prob. 11SGACh. 14 - Prob. 12SGACh. 14 - Prob. 13SGACh. 14 - Prob. 14SGACh. 14 - Prob. 15SGACh. 14 - Prob. 16SGACh. 14 - Prob. 17SGACh. 14 - Prob. 18SGACh. 14 - Prob. 19SGACh. 14 - Prob. 20SGACh. 14 - Prob. 21SGACh. 14 - Prob. 22SGACh. 14 - Prob. 23SGACh. 14 - Prob. 24SGACh. 14 - Prob. 25SGACh. 14 - Prob. 26SGACh. 14 - Prob. 27SGACh. 14 - Prob. 28SGACh. 14 - Prob. 29SGACh. 14 - Prob. 30SGACh. 14 - Prob. 31SGACh. 14 - Prob. 32SGACh. 14 - Prob. 33SGACh. 14 - Prob. 34SGACh. 14 - Prob. 35SGACh. 14 - Prob. 36SGACh. 14 - Prob. 37SGACh. 14 - Prob. 38SGACh. 14 - Prob. 39SGACh. 14 - Prob. 40SGACh. 14 - Prob. 41SGACh. 14 - Prob. 42SGACh. 14 - Prob. 1SAPCh. 14 - Prob. 2SAPCh. 14 - Prob. 3SAPCh. 14 - Prob. 4SAPCh. 14 - Prob. 5SAPCh. 14 - Prob. 6SAPCh. 14 - Prob. 7SAPCh. 14 - Prob. 8SAPCh. 14 - Prob. 9SAPCh. 14 - Prob. 10SAP

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