Just need help with Part B please!! Describing the Sampling Distribution of X¯.

Question

Just need help with Part B please!!

Describing the Sampling Distribution of X¯. A manufacturer of automobile batteries claims that the length of life for their batteries is normally distributed with a mean of 30 months and a standard deviation of 6 months (i.e. battery life N (30, = 6)).
(a) Describe the sampling distribution of the sample mean for samples of size 9, i.e. describe the distribution of the average life time of these automobile batteries for samples of size 9.
i. Shape (Choose one): • Normal • Approximately Normal • Not Normal
ii. Mean:
iii. Standard Error: (Do NOT round answer.)
(b) How would your answer in part (a) change if the battery life follows a skewed right distribution? i. Shape (Choose one): • Normal • Approximately Normal • Not Normal

ii. Mean:

iii. Standard Error:

Explanation / Answer

a) Shape = Norma

ii) Mean = 30

iii) Standard Error = SD/sqrt(n) = 6/sqrt(9) = 2

b)

i) Shape = Approximately Normal

ii) Mean = 30

iii) Standard Error = SD/sqrt(n) = 6/sqrt(9) = 2

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