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 16% of all applications were from minority candidates and that exactly 14% of the open positions were filled by members of a minority. For the investigation, the DEI office will take a random sample of 2100 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(p<0.14), 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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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 16% of all applications were from minority candidates and that exactly 14% of the open
positions were filled by members of a minority.
For the investigation, the DEI office will take a random sample of 2100 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 (p<0.14 ), 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.
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 16% of all applications were from minority candidates and that exactly 14% of the open positions were filled by members of a minority. For the investigation, the DEI office will take a random sample of 2100 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 (p<0.14 ), 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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax