A manufacturer of automobile batteries claims that the length of life for their batteries is normally distributed with a mean of 70 months and a standard deviation of 5 months
Describe the sampling distribution of the sample mean for samples of size 17, i.e., describe the distribution of the average life time of these automobile batteries for samples of size 17.
(i) Shape:
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(ii) Mean:
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(iii) Standard Error:
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(B) How would your answers in part (A) change if the battery life followed a right-skewed distribution instead of a normal distribution?
(i) Shape:
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(ii) Mean:
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(iii) Standard Error:
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(C) How would your answers in part (A) change if the battery life followed a right-skewed distribution instead of a normal distribution and the sample size was 81 instead of 17?
(i) Shape:
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(ii) Mean:
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(iii) Standard Error:
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