Question

sample of size 36, the 95% confidence interval for the population mean is 64.90, 69.30. The sample mean is:

		66.04
		None of the choices is correct.
		67.10
		63.10

Answer 1

Given:

(Since, sample size >30, z-scores are used)

Significance level =95%

SInce confidence interval is a two-tailed test, we need to find:

Confidence interval is computed using the following formula:

We will make two equations

.............................Equation 1

.............................. Equation 2

Let us consider

Therefore, the equations are

Solving these two, We get, Y = 2.2

Thus,

Answer is OPTION C

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