A pharmaceutical company would like to investigate the response time of a COVID-19 rapid test. The company claims that the response time is 16 minutes. To investigate this claim, the company decided to consider the response time of a random sample of 28 tests.   Given:  The response times has a normal distribution with a standard deviation of σ=2. The company wishes to test this claim at α=0.01 level of significance. The value of the test statistic is z=−2.14.   1. The company would like to increase the sample size so that the sample mean is within 0.7 minutes of the true mean with 99% confidence. The new required sample size is ?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

A pharmaceutical company would like to investigate the response time of a COVID-19 rapid test. The company claims that the response time is 16 minutes. To investigate this claim, the company decided to consider the response time of a random sample of 28 tests.

 

Given: 

  • The response times has a normal distribution with a standard deviation of σ=2.
  • The company wishes to test this claim at α=0.01 level of significance.
  • The value of the test statistic is z=−2.14.

 

1. The company would like to increase the sample size so that the sample mean is within 0.7 minutes of the true mean with 99% confidence. The new required sample size is ?

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman