# A stock market analyst notices that in a certain year, the

## Problem 16E Chapter 5.2

Statistics for Engineers and Scientists | 4th Edition

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Problem 16E

A stock market analyst notices that in a certain year, the price of IBM stock increased on 131 out of 252 trading days. Can these data be used to find a 95% confidence interval for the proportion of days that IBM stock increases? Explain

Step-by-Step Solution:

Step 1 of 3:

Given, a stock market analyst notices that in a certain year, the price of IBM stock increased in 131 out of 252 trading days.

Here n = 252, x = 131.

Step 2 of 3:

The aim is to find a 95% confidence interval for the proportion of days that IBM stock increases.

Then,

= 252+ 4

= 256.

=

= 0.5195

A 95% confidence interval for p is given by

For a 95% confidence interval:

Z - value for 95% confidence interval is

Then,

= 0.51950.0612

(0.4583, 0.5807)

Step 3 of 3

##### ISBN: 9780073401331

This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4th. The answer to “A stock market analyst notices that in a certain year, the price of IBM stock increased on 131 out of 252 trading days. Can these data be used to find a 95% confidence interval for the proportion of days that IBM stock increases? Explain” is broken down into a number of easy to follow steps, and 44 words. Statistics for Engineers and Scientists was written by Patricia and is associated to the ISBN: 9780073401331. Since the solution to 16E from 5.2 chapter was answered, more than 397 students have viewed the full step-by-step answer. This full solution covers the following key subjects: stock, days, IBM, interval, explain. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 16E from chapter: 5.2 was answered by Patricia, our top Statistics solution expert on 06/28/17, 11:15AM.

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