Answer Choice A) Larger Sample Size lead to larger error
B)All Sampling Methods are equally reliable
C)Bias is never present in a sample
D) None of the above are true

Calculated |t |= 7.72 > 2.1314 at 0.05 level of significance

Null hypothesis is rejected

The night shift-workers show more variability in their output levels are greater than day workers

Step-by-step explanation:

Step(i):-

Given first sample size n₁ = 9

Given mean of the first sample x₁⁻ = 520

Given sample variance of the first sample'S²₁' = = 38

Standard deviation of the first sample 'S₁' = √38 =6.16

Given second sample size n₂ = 8

Given mean of the second sample x₂⁻ = 540

Given sample variance of the second sample ( 'S²₂' = 20

Standard deviation of the second sample 'S₂' = √20 = 4.4712

Step(ii):-

Null hypothesis :H₀:  σ²₁ =σ²₂

Alternative Hypothesis:H₁: σ²₁ > σ²₂

Test statistic

           t =    - 7.72

          |t| = |- 7.72| = 7.72

Degrees of freedom

ν = n₁ + n₂ -2 = 9 +8 -2 = 15

t₀.₀₅ = 2.1314

Final answer:-

Calculated |t |= 7.72 > 2.1314 at 0.05 level of significance

Null hypothesis is rejected

The night shift-workers show more variability in their output levels are greater than day workers