A consulting report that was recently submitted to a company indicated that a hypothesis test for a single population variance was conducted. The report indicated that the test statistic was 34.79, the hypothesized variance was 345 and the sample variance 600. However, the report did not indicate what the sample size was. What was it?
A) n = 100
B) Approximately n = 18
C) Approximately 21
D) Can't be determined without knowing what alpha is.

Question

Quizplus · Accepted Answer

The sample size can be calculated using the formula:n = (s^2 / σ^2) * χ^2(1-α/2, v)where:s^2 is the sample varianceσ^2 is the hypothesized varianceχ^2(1-α/2, v) is the critical value of the chi-squared distribution with v degrees of freedom and a significance level of α/2In this case, we have:s^2 = 600σ^2 = 345χ^2(1-α/2, v) = 34.79We do not know the value of α, so we cannot calculate the exact value of n. However, we can approximate the value of n by using a significance level of 0.05. This gives us:n ≈ (600 / 345) * 34.79 ≈ 21

A Consulting Report That Was Recently Submitted to a Company