Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Calculus

Question:

The confidence intervals is (100.86, 102.78) Calculate the mean and the margin of error.

Options:

$\overline{x}=100.86, \,\, \mu = 101.82$

$\overline{x}=100.86, \,\, \mu = 0.96$

$\overline{x}=101.82, \,\, \mu = 0.96$

$\overline{x}=100.86, \,\, \mu =100.72$

Correct Answer:

$\overline{x}=101.82, \,\, \mu = 0.96$

Explanation:

The correct answer is Option (3) → $\overline{x}=101.82, \,\, \mu = 0.96$

$\bar x=\frac{\text{Lower Bound+Upper Bound}}{2}$

$=\frac{100.86+102.78}{2}=101.82$

$ME=\frac{\text{Upper Bound-Lower Bound}}{2}$

$=\frac{102.78-100.86}{2}=0.96$