A random sample has been taken from a normal distribution.

Chapter 8, Problem 28E

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QUESTION:

A random sample has been taken from a normal distribution. Output from a software package follows:

Variable      N      Mean      SE Mean      StDev      Varianc      Sum

      x           ?           ?            1.58           6.11             ?            751.40

(a) Fill in the missing quantities.

(b) Find a 95% CI on the population mean.

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QUESTION:

A random sample has been taken from a normal distribution. Output from a software package follows:

Variable      N      Mean      SE Mean      StDev      Varianc      Sum

      x           ?           ?            1.58           6.11             ?            751.40

(a) Fill in the missing quantities.

(b) Find a 95% CI on the population mean.

ANSWER:

Step 1 of 4

Given,

SE Mean,

Standard deviation,

Sum,

For  and s, the mean and standard deviation of a random sample from a normal distribution with unknown variance , a  Confidence Interval on  is given by,

where  is the upper  percentage point of the t distribution with n – 1 degrees of freedom

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