Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

Consider the following hypothesis test :

$H_o: \mu ≤ 24 $

$H_a: \mu > 24 $

A sample of 64 provided a sample mean of 24.3. The population standard deviation is 2. The value of the test statistic is :

Options:

1.2

2.1

1.3

-1.2

Correct Answer:

1.2

Explanation:

The correct answer is Option (1) → 1.2

Z-statistic in one sample test Z,

$Z=\frac{\bar x-μ_0}{σ/\sqrt{n}}$

$=\frac{24.3-24}{2/\sqrt{64}}=\frac{0.3}{0.25}$

$=1.2$