4th quarter lesson

2. Computing
Point Estimate
of a
Population Mean

3. At the end of this lesson,
students should be able to:
Compute for the point estimate
of the population mean
OBJECTIVE:

4. JUMBLED
LETTERS
DIRECTIONS: Given the following letters, form a word or group or words
that corresponds to each of the statement below.
1.) Set of all people, objects, events or ideas you want
to investigate.
P
_ _ _ _ _ _ _ _ _ _
O P U L A T I O N
P
O P
U L A
T I
O N

5. JUMBLED
LETTERS
2.) A subset of population.
_ _ _ _ _ _
s a m p l e
m
a e
l p s

6. JUMBLED
LETTERS
3.) An average score.
_ _ _ _
m e a n
a m e
n

7. JUMBLED
LETTERS
4.) A number that describes a population
characteristics.
P
_ _ _ _ _ _ _ _ _
a r a m e T e r
m e P e r T a r a

8. JUMBLED
LETTERS
5.) Fixed number of elements.
_ _ _ _ _ _
F I N I T e
T e I N I F

9. STORY TELLING:
Spiderman
and the
Six Dwarves
NEW
LESSON

10. Spiderman sells bottled coconut
juice. He claims that a bottle contains
500 ml of such juice.
Retrieved from: https://images.app.goo.gl/dYedQLZnJar2Q2iN9

11. The six dwarves wanted to know if his claim
is true. They went to six coconut farms and took
random samples of 10 such bottles and obtained
the capacity, in ml, of each bottle.
Retrieved from: https://images.app.goo.gl/dYedQLZnJar2Q2iN9

12. 500 498
497 503
499 497
497 497
497 495
500 500
495 494
498 500
500 500
500 497
497 497
502 496
497 497
497 497
497 495
501 495
500 497
497 500
500 495
497 497
502 497 497 499 496
497 497 499 500 500
496 497
496 495
497 497
500 500
496 497

13. Sample 1 500 498 497 503 499 497 497 497 497 495
Sample 2 500 500 495 494 498 500 500 500 500 497
Sample 3 497 497 502 496 497 497 497 497 497 495
Sample 4 501 495 500 497 497 500 500 495 497 497
Sample 5 502 497 497 499 496 497 497 499 500 500
Sample 6 496 497 496 495 497 497 500 500 496 497
Retrieved from: https://images.app.goo.gl/dYedQLZnJar2Q2iN9

14. 500 498
497 503
499 497
497 497
497 495
500 500
495 494
498 500
500 500
500 497
497 497
502 496
497 497
497 497
497
495
501 495
500 497
497 500
500 495
497 497
502 497
497 499
496 497
497 499
500 500
496 497
496 495
497 497
500 500
496 497
Sum:4972
Mean:498
Sum:4984
Sum:4980 Sum:4979 Sum:4984 Sum:4971
Mean:498.4 Mean:497.2 Mean:497.9 Mean:498.4 Mean:497.1

15. Mean:498 Mean:498.4 Mean:497.2 Mean:497.9 Mean:498.4 Mean:497.1
Spiderman sells bottled coconut juice.
He claims that a bottle contains 500 ml of
such juice.

16. Mean:498
Mean:498.4
Mean:497.2
Mean:497.9
Mean:498.4
Mean:497.1
Spiderman sells
bottled coconut juice.
He claims that a bottle
contains 500 ml of such
juice.
Sum of the Means: 2987
Mean of the Means: 497.83
The Computed Mean 497.83
based on the sample is slightly
less than the claimed value of
500ml
POINT ESTIMATE

17. NEW
LESSON
An ESTIMATE is a value or a range of
values that approximate a parameter.
POINT ESTIMATE is a specific numerical
value of a population parameter.

18. THINK-PAIR-
SHARE
RESTAURANT SERVICE QUALITY!
Susan, a TLE researcher, looked at the average time (in minutes) it takes
a random sample of customers to be served in a restaurant. From 40
customers, the following information was obtained.
8 8 10 18 10 13 8 10 8 10
12 10 16 16 12 15 12 12 9 15
10 20 20 12 10 10 16 10 18 12
15 12 15 14 15 16 15 12 8 8
1. What is the mean
of the sample?
2. Based on the
observation of the
mean, would you
patronize the
restaurant?

19. GROUP ACTIVITY
In your group, ask each member of their
average time (minutes) of watching TV
before bedtime and
find the point estimate of the population
parameter.

20. SEATWORK
:
Scores in a Long Test in
Science:
Find the point estimate of the
population parameter of the
following set of data.
78 75 86 82 70
80 92 82 85 80
90 88 90 78 83
75 85 77 88 85
83 86 83 84 86
76 88 79 84 80

21. FIN

22. Print/provide a copy
of t-table and study in
advance the t-table.
ASSIGNMEN
T