Sampling Distributions for Sample Means

AP Statistics· difficulty 3/5

Population: μ = 200, σ = 24; n = 36.

|x̄ - μ| < 4

Approximately, what is the probability that x̄ is within 4 of μ?

  • A

    ≈ 0.3173

  • B

    ≈ 0.9544

  • C

    ≈ 0.5000

  • D

    ≈ 0.6826

    check_circle

Explanation

σ_x̄ = 24/6 = 4. So 4 = 1 SD. P(|Z| < 1) ≈ 0.6826.

Want 10 more like this — adaptive to your weak spots?

Related questions