A manufacturer claims that the light bulbs that they produce have a mean lifetime of 1,200 hours and standard deviation of 400 hours. A random sample of size 50 is selected and the sample mean, , i calculated.

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A manufacturer claims that the light bulbs that they produce have a mean lifetime of 1,200 hours and standard deviation of 400 hours. A random sample of size 50 is selected and the sample mean, , is
calculated.
Let the sample mean, .be an estimator of the population mean H. Which of the following statements are true?
Select one or more:
O a.
The distribution of is approximately normal
Ob.
X is an unbiased estimator of u
O c. The variance of is o?/n. where g? is the population variance and n is the sample size.
Od.
K is a consistent estimator of
Transcribed Image Text:A manufacturer claims that the light bulbs that they produce have a mean lifetime of 1,200 hours and standard deviation of 400 hours. A random sample of size 50 is selected and the sample mean, , is calculated. Let the sample mean, .be an estimator of the population mean H. Which of the following statements are true? Select one or more: O a. The distribution of is approximately normal Ob. X is an unbiased estimator of u O c. The variance of is o?/n. where g? is the population variance and n is the sample size. Od. K is a consistent estimator of
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