Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Question:

Consider the following hypothesis test:

$H_0:μ≤3432$
$H_a:μ> 3432$

A sample of 96 provided a sample mean $\bar x= 3648$ and sample standard deviation $s=802$ then the degree of freedom of t-distribution is:

Options:

95

97

48

47

Correct Answer:

95

Explanation:

The correct answer is Option (1) → 95

Given: H0: μ ≤ 3432, Ha: μ > 3432

Sample size: n = 96, Sample mean: $\bar{x} = 3648$, Sample standard deviation: s = 802

For t-test using sample standard deviation, the degrees of freedom is df = n - 1

df = 96 − 1 = 95

Degree of freedom = 95