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Confidence interval for mean

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Please choose the correct answers and state briefly why:

In a manufacturing process a random sample of 36 bolts manufactured has a mean length of 3 inches with a standard deviation of .3 inches. What is the 99% confidence interval for the true mean length of the bolt?

a. 2.902 to 3.098
b. 2.884 to 3.117
c. 2.871 to 3.129
d. 2.228 to 3.772
e. 2.902 to 3.098

If the sampled population has a mean 48 and standard deviation 16, then the mean and the standard deviation for the sampling distribution of X-bar (sample mean) for n=64 are: (Ch7)

a. 4 and 4
b. 12 and 4
c. 48 and 2
d. 48 and 1/4
e. 48 and 16

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Step by step method for computing test statistic for One way ANOVA is given in the answer.

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