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Solved by verified expert:Statistics Homework that deals with Probability and Sampling Distribution. You must show full work and follow the directions.
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1. Probability: show all your work for full point. (5 pts)
a) Assuming there are 240 students are taking PSY301 at DePaul University. The survey
shows that 143 of the students are male, and the remaining are females. 95 of them
live in the suburb of which 42 are female.
Use the above information to answer the questions below. Leave your answer in
percent and interpret in plain English.
i. [2.5 points] Complete the table and use the table to answer the following questions
below
Sex versus Residence
Residence
City
Sex
Female
Suburb
42
Male
Total
Total
143
95
240
ii. [2.5 points] If a student is chosen at random, what is the probability of choosing a
female or a student who resides in the suburb? Leave your answer in percent and
interpret in plain English
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iii. [2.5 points] If a student is chosen at random, what is the probability of choosing a
male or a student who resides in the city? Leave your answer in percent and
interpret in plain English
iv. [2.5 points] If a student is chosen at random, what is the probability of choosing a
city or a suburb resident? Leave your answer in percent and interpret in plain
English
2. Sampling Distribution show all your work for full point. (5 pts)
A bank in a small town has 10,000 customers. A national survey on the banking habits of
people in U.S. shows that 80% of the people with income higher than 50,000 dollars have
both savings and checking accounts and also shows that the average number of banking
operations that a person aged 18 and over performs per week is 5. The manager of the
bank decides to do a survey among the customers of his bank and takes a simple random
sample of 200 customers aged 18 and over. In the sample, the average number of banking
transactions per week is 8 with standard deviation equal to 10.
a) The average number of times a customer carries out banking transactions per week is
_________ give or take ________ or so. Show how you computed your answers.
b) Give a 90% confidence interval for the average number of banking operations per week
for the town residents aged 18 and over. Show your working.
c) Is the apparent difference in banking habits between the nation and the customers of the
bank real or just due to chance? Explain
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d) A 95% confidence interval gives a range of values for the _______which are plausible
according to the observed data. Fill in the blanks.
(Possible answer: (A) Population average, (B) Sample average).
e) The sample standard deviation measures how far _______ is from sample average.
The standard deviation for the sample average measures how far __________is
from the population average – for typical
__________.
To fill in the blanks, choose among: (A) number of bank operations, (B) average number of
operations, (C) samples, (D) customers aged 18 and over, (E) bank, (F) person with high
income.
Submission
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Write your name on your document.
Write the name of your excel file.
All relevant graphs and tables must be copied over first and then interpretations below
them.
Follow the format of this document.
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