Question

The president of the student's union of a large Canadian University reports to the board of directors that psychology students spend more time in the campus pub than business students. A survey was conducted on a random sample of 100 psychology students and a random sample of 100 business students. The survey results for the psychology students gave an average of 52 hours per student in the pub per month, with a variance of 64. For the business students the sample gave an average of 50 hours per student in the pub per month, with a variance of 36.

a) Test whether the sample results support the report made by the president of the student's union. Use α = .10.

b) Find the p-value for the test.

Answer #1

A student advocacy group at a large western university was
interested in estimating the average rent ($) that off-campus
students pay per month. Five randomly selected, off-campus students
were chosen and their respective monthly rent liabilities were
recorded The raw data are found in Table 1. Let "x" denote the
monthly rent reported.
We want to find the standard deviation. The formula for standard
deviation is We will write out all the steps.
a. Fill in the missing table cells. Note...

Hypothesis testing: A student group claims that first-year
students at a university must study 2.25 hours per night during the
school week. A skeptic suspects that they study less than that on
average. A class survey finds the study time claimed by 259
students is 147 minutes. Regard these students as a random sample
of all 1st year students and suppose what study times follow a
Normal Distribution with a population standard deviation 62
minutes. Test to see if the...

Scenario 4 A professor at a large university believes that
students take an average of 15 credit hours per term. A random
sample of 24 students in her class of 250 students reported the
following number of credit hours that they were taking: 12 13 14 14
15 15 15 16 16 16 16 16 17 17 17 18 18 18 18 19 19 19 20 21
Questions 17 to 19 pertain to Scenario 4. Question 17 (1
point) Saved...

Read carefully through the following problems (Questions 5-8).
Each problem is accompanied by a null and an alternative
hypothesis, and each set of hypotheses includes at least one
mistake. We would like you to identify what the mistake(s)
is/are.
A claim is made that adults spend an average of $475 per year
on birthday presents. A researcher believes this value is too low,
and she sets out to gather data to test this claim. Her null and
alternative hypotheses are...

A random sample of 12 second-year university students enrolled
in a business statistics course was drawn. At the course's
completion, each student was asked how many hours he or she spent
doing homework in statistics. The data are listed below.
37 33 38 40 30 32 40 32 36 36 31 32
It is known that the population standard deviation is 8. The
instructor has recommended that students devote 3 hours per week
for the duration of the 12-week semester,...

Suppose a student organization at a university collected data
for a study involving class sizes from different departments. The
following table shows the average class size from a random sample
of classes in the business school vs. the average class size from a
random sample of classes in the engineering school. Data for the
sample sizes and standard deviations are also shown. Use this data
to complete parts a through c.
Business
Engineering
Sample mean
39.9
30.9
Sample standard deviation...

In the midst of
labor-management negotiations, the president of a company argues
that the company’s blue-collar workers, who are paid an average of
$43,000 per year, are well paid because the mean annual income of
all blue-collar workers in the country is less than $43,000. That
figure is disputed by the union, which does not believe that the
mean blue-collar income is less than $43,000. To test the company
president’s belief, an arbitrator draws a random sample of 225
blue-collar...

Use the following for the next 4 questions: A recent national
survey found that high school students watched an average of 6.8
DVDs per month with a population standard deviation of 2.5 hours.
The distribution of times follows the normal distribution. A random
sample of 36 college students revealed that the mean number of DVDs
watched last month was 6.1. At the 0.05 significance level, can we
conclude that college students watch fewer DVD's a month than high
school students...

Question 11
A retailer finds that the demand for a very popular board game
averages 100 per week with a standard deviation of 20. If the
seller wishes to have adequate stock 90% of the time, how many of
the games must she keep on hand?
a.
139.2
b.
125.6
c.
132.9
d.
100.0
e.
195.0
Question 13
A new car salesperson knows that he sells cars to one customer
out of 20 who enter the showroom. The probability that...

SUBJECT : Quantitative Techniques (MBA)
Question 1
The Inland Revenue Board says that the average income in Taiping
is RM15000. A sample of 45 people found that their mean income to
be RM14300 with a standard deviation of RM2000. (a) Use a 5%
significance level to check the claim. [18 marks]
(b) Test the effect of using a 1% significance level. [8
marks]
(c) If there is a difference in the two test results, explain
the reason for the difference....

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