a) The company which produce light bulb claims that the mean life time of their light bulbs is 1600 hours. To test it claim, the company took a random sample of 6 light bulbs and the following results were obtained: 1640, 1635,1580, 1533,1630, 1690 (i) Compute the sample mean and the sample variance. (ii) Is there any evidence that support company claim at 10% level of significance? (iii) Find the 90% confidence interval for the mean life time of a light bulb.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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a) The company which produce light bulb claims that the mean life
time of their light bulbs is 1600 hours. To test it claim, the company
took a random sample of 6 light bulbs and the following results were
obtained:
1640,
1635,1580,1533,1630,1690
(i) Compute the sample mean and the sample variance.
(ii) Is there any evidence that support company claim at 10%
level of significance?
(iii) Find the 90% confidence interval for the mean life time of a
light bulb.
a) The weights of bags of sugar from a production line are normally
distributed with a mean of 500g and standard deviation of 2g. A bag
is selected at random, what is the probability that :
(i) It will have a weight between 498g and 502g?
(ii) It will have a weight of more than 505g?
Transcribed Image Text:Q4 a) The company which produce light bulb claims that the mean life time of their light bulbs is 1600 hours. To test it claim, the company took a random sample of 6 light bulbs and the following results were obtained: 1640, 1635,1580,1533,1630,1690 (i) Compute the sample mean and the sample variance. (ii) Is there any evidence that support company claim at 10% level of significance? (iii) Find the 90% confidence interval for the mean life time of a light bulb. a) The weights of bags of sugar from a production line are normally distributed with a mean of 500g and standard deviation of 2g. A bag is selected at random, what is the probability that : (i) It will have a weight between 498g and 502g? (ii) It will have a weight of more than 505g?
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