Answered: Karen wants to advertise how many…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 52 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 12.7 and a standard deviation of 2.6. What is the 99% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Enter your answers accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).

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Expert Solution

Step 1

Given:

Sample size, n = 52

Sample mean, $x$ =12.7

Standard deviation, s =2.6

For 99% confidence level:

$α = 1 - 0.99 α = 0.01$

Critical value for 99% C.I is 2.576

The formula for confidence interval is as follows:

$C . I = x \pm z_{c r i t i c a l} \times \frac{s}{\sqrt{n}}$

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