The Diversity, Equity, and Inclusion (DEI) office of a major multinational bank is investigating the process used to make recent hires for financial analysts. The office knows that exactly 10% of all applications were from minority candidates and that exactly 8% of the open positions were filled by members of a minority. For the investigation, the DEI office will take a random sample of 900 applications. Let p be the proportion of minority applicants in the sample. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P≤0.08), which is the probability that there will be fewer minority applicants in the sample than were hired by the bank. Round your answer to four decimal places. X

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
The Diversity, Equity, and Inclusion (DEI) office of a major multinational bank is investigating the process used to make recent hires for financial analysts. The office knows that exactly 10% of all applications were from minority candidates and that exactly 8% of the open positions were filled by members of a minority.

For the investigation, the DEI office will take a random sample of 900 applications. Let \(\hat{p}\) be the proportion of minority applicants in the sample.

Answer the following. (If necessary, consult a list of formulas.)

---

(a) Find the mean of \(\hat{p}\).

\[\square\]

(b) Find the standard deviation of \(\hat{p}\).

\[\square\]

(c) Compute an approximation for \(P(\hat{p} \leq 0.08)\), which is the probability that there will be fewer minority applicants in the sample than were hired by the bank. Round your answer to four decimal places.

\[\square\]
Transcribed Image Text:The Diversity, Equity, and Inclusion (DEI) office of a major multinational bank is investigating the process used to make recent hires for financial analysts. The office knows that exactly 10% of all applications were from minority candidates and that exactly 8% of the open positions were filled by members of a minority. For the investigation, the DEI office will take a random sample of 900 applications. Let \(\hat{p}\) be the proportion of minority applicants in the sample. Answer the following. (If necessary, consult a list of formulas.) --- (a) Find the mean of \(\hat{p}\). \[\square\] (b) Find the standard deviation of \(\hat{p}\). \[\square\] (c) Compute an approximation for \(P(\hat{p} \leq 0.08)\), which is the probability that there will be fewer minority applicants in the sample than were hired by the bank. Round your answer to four decimal places. \[\square\]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
  • SEE MORE 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