Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

A 95% confidence interval for a population mean was reported to be 83 to 87. If $σ=8$, then size of sample is :

$(Z_{\alpha /2}=$ approx 2)

Options:

140

120

64

80

Correct Answer:

64

Explanation:

The correct answer is Option (3) → 64

Margin of error (ME) = $87 - 85 = 2$

$ME=Z_{\alpha /2}×\frac{σ}{\sqrt{n}}$

$2=1.96×\frac{8}{\sqrt{n}}$

$\sqrt{n}≃8$

$n≃64$