HYPHOTESIS

2. •Formulate the appropriate Null
and Alternative hypothesis on a
population mean
•Compute for the test- statistic
value (probability value)
•Draws conclusion about the
population mean based on the
test-statistic value and the
rejection region

3. Activity

4. Problem No. 1
A TV manufacturer claims
that the life span of its
regular TV sets is longer
than 10 years with a
standard deviation of 1.5
years. Using a random
sample of their 16 TV
sets, the average life
span is found to be 11.5
years. Test the hypothesis
that the TV sets’ life span
is longer than 10 years at
Problem No. 2
A report states that the
mean monthly salary of call
center agents is Php
22,000 a month. A random
sample of the salaries of
81 call center agents
showed a mean monthly
salary of Php 23,500 with a
standard deviation of Php
3,000. Is there a significant
difference between the
reported mean and sample
mean of the salaries of the
call center agents? Use
= 0.05

5. RUBRICS:
Cooperation – 10 pts
Accuracy – 35 pts ( 5
points each question)
Speed - 5 pts
Presentation – 10 pts

6. Analysis

7. •How will you know that a given problem is a
one-tailed or two tailed test?
•How did you construct the null and
alternative hypothesis?
•What is your basis on determining the
statistical testing procedure of the problem?
What is the level of significance?
1
2
3

8. •How will you know that a given
problem is a one-tailed or two tailed
test?
5
4
6
•What process did you used in finding
the t- computed?
How did you make your
conclusion on the problem?

9. In order for you to come up
a correct decision in z-test
and t-test using one
population mean, follow
the following steps:
1.Identify whether the
given problem is a one-
tailed or two-tailed test.
(Refer to your guide table)

10. 2.a Formulate the null and
alternative hypotheses.
2.b Decide on an appropriate
statistical testing procedure. Specify
the level of significance.
2.c Find the critical value or
tabulated value.
2.d Compute the test-statistic or the
probability value (p-value).

11. One-sample mean
z =
t =
2.e Make a decision
2.f Make a conclusion

13.  Compute for the test statistics and draw a
conclusion by showing the steps in
hypothesis testing.
1. A supermarket owner believes that the mean
income of its customers is Php 50,000 per month.
One-hundred customers are randomly selected and
asked of their monthly income. The sample mean is
Php 48,500 per month and the standard deviation is
Php 3,200. Is there sufficient evidence to indicate that
the mean income of the customers of the
supermarket is Php 50,000 per month? Use = 0.05

14. 2. Angel heard that the average grade in Mathematics
of her class is at least 88%. She was not convinced
by this, and so decided to use hypothesis testing to
check if this claim was true. She got a random
sample of 10 classmates who gave their grades in
Mathematics as follows: 90, 93, 85, 77, 88, 80, 78,
83, 95, 90. Assume that the distribution of the grades
is normal. Based on this sample data, what would
Angel’s conclusion be on the average grade in
Mathematics of her class?

15. • Formulate the appropriate hypotheses on the given
situation. Compute for the test statistics and based
from the result draw a conclusion.
1. It is reported that the average monthly salary
of accounting graduates in the accounting
field is Php 18,000. A dean of a certain
university conducted a survey of 60
accounting graduates and found their
average salary at Php 20,500 per month with
a standard deviation of Php 1,500 per month.
Using = 0.05, did he find the reported
average salary incorrect?

16. Assignment:
•Compute for the test statistics and draw a
conclusion by showing the steps in hypothesis
testing.
1. The average cost per househould owning a
brand new car is 10,000 according to the
survey. A group of 45 households has a
sample mean of Php15,000, sample standard
deviation of 1,500. Is the average cost greater
than 10,000? Test at 0.01 level of
significance.