Prof. Gersch knows that the score on a standardized test is perfectly normal with unknown mean and a standard deviation of 50.  He then takes a random sample of 25 tests and finds that the average of these is 200. How many exams should he sample so that the maximum margin of error for his 95% confidence interval is 10?:       a. 98   b. 97   c. 100   d. 96   e. 10

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
icon
Related questions
Topic Video
Question

Prof. Gersch knows that the score on a standardized test is perfectly normal with unknown mean and a standard deviation of 50.  He then takes a random sample of 25 tests and finds that the average of these is 200.

How many exams should he sample so that the maximum margin of error
for his 95% confidence interval is 10?:

 

 

  a.

98

  b.

97

  c.

100

  d.

96

  e.

10

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL