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Computing
Point Estimate
of a
Population Mean
At the end of this lesson,
students should be able to:
Compute for the point estimate
of the population mean
OBJECTIVE:
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
JUMBLED
LETTERS
2.) A subset of population.
_ _ _ _ _ _
s a m p l e
m
a e
l p s
JUMBLED
LETTERS
3.) An average score.
_ _ _ _
m e a n
a m e
n
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
JUMBLED
LETTERS
5.) Fixed number of elements.
_ _ _ _ _ _
F I N I T e
T e I N I F
STORY TELLING:
Spiderman
and the
Six Dwarves
NEW
LESSON
Spiderman sells bottled coconut
juice. He claims that a bottle contains
500 ml of such juice.
Retrieved from: https://images.app.goo.gl/dYedQLZnJar2Q2iN9
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
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
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
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
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.
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
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.
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?
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.
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
FIN
Print/provide a copy
of t-table and study in
advance the t-table.
ASSIGNMEN
T

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STAT 4TH Q LESSON demo.ppt

  • 1.
  • 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
  • 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