The Coca Cola produced 1.5 liters bottle of soda. The production department reported that the standard deviation of the bottle is 0.7 liter. The quality control department conduct a random checking on the content of the bottles and obtained 1.45 liters from 100,1.5 liters bottles. Test if there's enough evidence that the average amount in bottles is different from the standard 1.5 liters. Use a 5% level of significance. GIVEN: p= 1.5, o= 0.7, n= 100, x=1.45, a= 5%

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The Coca Cola produced 1.5 liters bottle of
soda. The production department reported
that the standard deviation of the bottle is 0.7
liter. The quality control department conduct
a random
checking on the content of the bottles and
obtained 1.45 liters from 100,1.5 liters
bottles. Test if there's enough evidence that
the average amount in bottles is different
from the standard 1.5
liters. Use a 5% level of signi
cance.
GIVEN: u= 1.5, o= 0.7, n= 100, x=1.45, a=
5%
ASKED: Test if there's enough evidence
that the average amount in bottles is
different from the standard 1.5
STEP 1: Ho: =1.5
STEP 2: H,: #1.5
STEP 3:
STEP 4:
Transcribed Image Text:The Coca Cola produced 1.5 liters bottle of soda. The production department reported that the standard deviation of the bottle is 0.7 liter. The quality control department conduct a random checking on the content of the bottles and obtained 1.45 liters from 100,1.5 liters bottles. Test if there's enough evidence that the average amount in bottles is different from the standard 1.5 liters. Use a 5% level of signi cance. GIVEN: u= 1.5, o= 0.7, n= 100, x=1.45, a= 5% ASKED: Test if there's enough evidence that the average amount in bottles is different from the standard 1.5 STEP 1: Ho: =1.5 STEP 2: H,: #1.5 STEP 3: STEP 4:
Page
13
of 21
The Genetic Electric Company claims that the mean
life of LED lights is 400 hours with standard
devialion of 150 hours. Tesı Ihe claim ol Ihe
manufacture if a random sample of 50 LED lights
lesled and found out lo be 300 hours only. Use
10% level of significance.
EXAMPLE #1
GIVEN: µ = 400, o = 150, n = 50,7 = 300 and a = 10%
ASKED: Test the claim of the manufacturer if a random sample of 50 LED light tested and found out to be 300 hours
only.
STEP 1: Ho:l= 400 There is no significant difference between the Genetic Electric Company claims that the mean
life of light bulb is equal to 400 hours.
H:u + 400 There is significant difference between the Genetic Electric Company claims about the mean
life of light bulb which is not equal to 400 hours.
STEP 2:
a = 0.10
TWO TAILED
Za =+1.645
(ī – 4)
z =
(300-400)
= -4.71
STEP 3:
150
50
STEP 4: -1.645 <-4.71< 1.645
FALSE
STEP 6: Therefore, there is significant difference
between the Genetic Electric Company
claims about the mean life of light bulb
STEP 5:
Reject Ho
Transcribed Image Text:Page 13 of 21 The Genetic Electric Company claims that the mean life of LED lights is 400 hours with standard devialion of 150 hours. Tesı Ihe claim ol Ihe manufacture if a random sample of 50 LED lights lesled and found out lo be 300 hours only. Use 10% level of significance. EXAMPLE #1 GIVEN: µ = 400, o = 150, n = 50,7 = 300 and a = 10% ASKED: Test the claim of the manufacturer if a random sample of 50 LED light tested and found out to be 300 hours only. STEP 1: Ho:l= 400 There is no significant difference between the Genetic Electric Company claims that the mean life of light bulb is equal to 400 hours. H:u + 400 There is significant difference between the Genetic Electric Company claims about the mean life of light bulb which is not equal to 400 hours. STEP 2: a = 0.10 TWO TAILED Za =+1.645 (ī – 4) z = (300-400) = -4.71 STEP 3: 150 50 STEP 4: -1.645 <-4.71< 1.645 FALSE STEP 6: Therefore, there is significant difference between the Genetic Electric Company claims about the mean life of light bulb STEP 5: Reject Ho
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