Harbourview Clearing’s four cheques take 2, 4, 6 and 8 days to clear. All samples of size 2 without replacement are equally likely. Fill the worksheet: the mean of the sampling distribution of x̄ (tolerance 0) and P(x̄ ≥ 6) (tolerance ±0.001).
Harbourview Clearing’s four cheques take 2, 4, 6 and 8 days to clear. All samples of size 2 without replacement are equally likely. Fill the worksheet: the mean of the sampling distribution of x̄ (tolerance 0) and P(x̄ ≥ 6) (tolerance ±0.001).
Answer
Mean of the sampling distribution of x̄ → 5 · P(x̄ ≥ 6) → 0.3333
Cells - Mean of the sampling distribution of x̄ · ±0 - P(x̄ ≥ 6) · ±0.001 The six samples have means 3, 4, 5, 5, 6, 7; their average is 30/6 = 5 = μ. Two of the six means (6 and 7) are at least 6, so P(x̄ ≥ 6) = 2/6 = 0.3333.
BCc intro and ch 2 (a sampling distribution built by enumeration), IBS1 §7.1 (the idea), CC BY 4.0 — shape only; original dataset