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Light bulbs have lifetimes that are normally distributed with a mean life of 950 h and a standard deviation of 75 h. 1. Each day,

Light bulbs have lifetimes that are normally distributed with a mean life of 950 h and a standard deviation of 75 h.

1. Each day, 100 light bulbs are checked.

a) What are the mean and the standard deviation of these samples?

b) How likely would the quality checker find a sample mean of 900 h or less?

2. Assuming the light bulbs are not checked each day.Determine a 95% confidence interval (z-score=1.960) for the mean life of the light bulbs if there are 120 samples.

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