A medical device manufacturer has recently developed a new wireless pacemaker that can be reprogrammed without surgery . Years of research at the company has shown that traditional pacemakers have an expected battery life of mu = 60mol months with a standard deviation of sigma = 6 months . You have been hired to test a random sample of n = 25new pacemakers to see how they compare in battery life to the old ones Compute the standard error for a sample of size n = 25 taken from the population of traditional pacemakers . (Round your answer to 1 decimal place.)   For a sample of size n = 25 randomly selected from the population of traditional pacemakers, what is the probability of obtaining a sample mean greater than M = 62 months ? (Include 4 decimal places in your answer .)   For samples of size n = 25 , what range of values should contain the sample mean 90% of the time (i.e., what is the 90% confidence interval)? Put the lower bound of the interval in the first blank, and the upper bound of the interval in the second blank . ( Round your answers to 2 decimal places .)

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
Topic Video
Question

A medical device manufacturer has recently developed a new wireless pacemaker that can be reprogrammed without surgery . Years of research at the company has shown that traditional pacemakers have an expected battery life of mu = 60mol months with a standard deviation of sigma = 6 months . You have been hired to test a random sample of n = 25new pacemakers to see how they compare in battery life to the old ones

Compute the standard error for a sample of size n = 25 taken from the population of traditional pacemakers . (Round your answer to 1 decimal place.)

 

For a sample of size n = 25 randomly selected from the population of traditional pacemakers, what is the probability of obtaining a sample mean greater than M = 62 months ? (Include 4 decimal places in your answer .)

 

For samples of size n = 25 , what range of values should contain the sample mean 90% of the time (i.e., what is the 90% confidence interval)? Put the lower bound of the interval in the first blank, and the upper bound of the interval in the second blank . ( Round your answers to 2 decimal places .)

 

Suppose your test on the new pacemakers results in a sample mean of M = 56 months of battery life? What is the z-score for this sample mean? (Round your answer to 2 decimal places .)

 

How do you interpret this result (from previous question? What will you report to the manufacturer about the new pacemakers ?

 

 

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 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.
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