Examine whether the following sample could have come from a population with mean 15(assume normality): 16, 18, 13, 11, 20, 22, 11, 19, 18, 15. Use 95% level of significance. (Given: t0.05,10 = 1.812,  t0.05,9=1.833, t0.01, 9=2.821, t0.01,10=2.764)

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Examine whether the following sample could have come from a population with mean 15(assume normality):

16, 18, 13, 11, 20, 22, 11, 19, 18, 15.

Use 95% level of significance.

(Given: t0.05,10 = 1.812,  t0.05,9=1.833, t0.01, 9=2.821, t0.01,10=2.764)

6.
A large organization produces electric bulbs in each of its two
factories. It is suspected that the efficiencies in the factories
is not alike, thus a test is carried out by ascertaining the
variability of the life of the bulbs produced by each factory.
The results are as follows :
10
Factory A
Factory B
No. of bulbs in sample
100
200
Average Life
1100
900
Standard Deviation
240
220
From the above information, determine whether the difference
between the variability of life of bulbs from each sample is
significant. Use 1% level of significance.
(Given that Zo os = ±1.96, Zo01
+2.58. Zo os - 1.65,
Zo01 = 2.33)
Transcribed Image Text:6. A large organization produces electric bulbs in each of its two factories. It is suspected that the efficiencies in the factories is not alike, thus a test is carried out by ascertaining the variability of the life of the bulbs produced by each factory. The results are as follows : 10 Factory A Factory B No. of bulbs in sample 100 200 Average Life 1100 900 Standard Deviation 240 220 From the above information, determine whether the difference between the variability of life of bulbs from each sample is significant. Use 1% level of significance. (Given that Zo os = ±1.96, Zo01 +2.58. Zo os - 1.65, Zo01 = 2.33)
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