The mean number of pets per household is 3.25 with standard deviation 1.3. A sample of 59 households is drawn. Find the 74th percentile of the sample mean.
A)4.11
B)2.70
C)3.86
D)3.36

Question

Quizplus · Accepted Answer

The 74th percentile of the sample mean can be found using the formula for the z-score: z = (X - μ) / (σ/√n). For the 74th percentile, the z-score is approximately 0.64. Using the given mean (μ = 3.25) and standard deviation (σ = 1.3), and sample size (n = 59), we calculate the sample mean X = μ + z*(σ/√n) = 3.25 + 0.64*(1.3/√59) ≈ 3.36.

The Mean Number of Pets Per Household Is 3