From a large batch of batteries, a sample of size 50 is drawn. The average lifespan of
the batteries is 1200 hours with a standard deviation of 200 hours.
1.
Find the probability that the mean lifespan of the sample is less than 1150
hours. (3 Marks)
2.
3.
Calculate the 95% confidence interval for the sample mean lifespan. (4 Marks)
Discuss the effect of increasing the sample size to 100 on the standard error and
the probability calculation.
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