Objective: Probability involving percentages Business Weekly conducted a survey of recent graduates from the top MBA programs. On the basis of the survey, assume that 80% of the recent graduates annual salary exceeds $55000. Suppose you take a simple random sample of 77 recent graduates. Note: round all z scores to 2 decimal places and all other numbers to 4 decimal places. 1. Find the probability that less than 90% of the 77 recent graduates have an annual salary exceeding $55000. 2. Beyond representative sampling, what assumptions are needed to satisfy the requirements for this problem? a) X~normal or n≥30 b) X~binomial and at least 5 successes and failures c) X~binomial and both npnp and nqnq at least 5 d) X~normal and n≥30

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
icon
Concept explainers
Topic Video
Question

Objective: Probability involving percentages

Business Weekly conducted a survey of recent graduates from the top MBA programs. On the basis of the survey, assume that 80% of the recent graduates annual salary exceeds $55000. Suppose you take a simple random sample of 77 recent graduates.

Note: round all z scores to 2 decimal places and all other numbers to 4 decimal places.

1. Find the probability that less than 90% of the 77 recent graduates have an annual salary exceeding $55000.

2. Beyond representative sampling, what assumptions are needed to satisfy the requirements for this problem?

a) X~normal or n≥30

b) X~binomial and at least 5 successes and failures

c) X~binomial and both npnp and nqnq at least 5

d) X~normal and n≥30

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Knowledge Booster
Sample space, Events, and Basic Rules of Probability
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