Suppose a simple random sample of size n=64 is obtained from a population that is skewed right with μ=83 and o=24. (a) Describe the sampling distribution of x (b) What is P (x>89) ? (c) What is P (x≤76.55) ? (d) What is P (80.4589) = 0.0228 (Round to four decimal places as needed.) (c) P (x≤76.55) = 0.0158 (Round to four decimal places as needed.) (d) P (80.45

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Is D correct?

is it 0.7930 or 0.739?

It can't be both I need it to be one or the other, thanks.

Suppose a simple random sample of size n = 64 is obtained from a population that is skewed right with μ = 83 and σ = 24.

(a) Describe the sampling distribution of x̄.

- Choose the correct description of the shape of the sampling distribution of x̄:
  - A. The distribution is skewed right.
  - B. The distribution is skewed left.
  - C. The distribution is approximately normal. 
  - D. The distribution is uniform.
  - E. The shape of the distribution is unknown.

- **Answer: C. The distribution is approximately normal.**

- Find the mean and standard deviation of the sampling distribution of x̄:
  - μₓ̄ = 83
  - σₓ̄ = 3
  - (Type integers or decimals. Do not round.)

(b) P(x̄ > 89) = 0.0228 (Round to four decimal places as needed.)

(c) P(x̄ ≤ 76.55) = 0.0158 (Round to four decimal places as needed.)

(d) P(80.45 < x̄ < 90.05) = 0.7930 (Round to four decimal places as needed.)
Transcribed Image Text:Suppose a simple random sample of size n = 64 is obtained from a population that is skewed right with μ = 83 and σ = 24. (a) Describe the sampling distribution of x̄. - Choose the correct description of the shape of the sampling distribution of x̄: - A. The distribution is skewed right. - B. The distribution is skewed left. - C. The distribution is approximately normal. - D. The distribution is uniform. - E. The shape of the distribution is unknown. - **Answer: C. The distribution is approximately normal.** - Find the mean and standard deviation of the sampling distribution of x̄: - μₓ̄ = 83 - σₓ̄ = 3 - (Type integers or decimals. Do not round.) (b) P(x̄ > 89) = 0.0228 (Round to four decimal places as needed.) (c) P(x̄ ≤ 76.55) = 0.0158 (Round to four decimal places as needed.) (d) P(80.45 < x̄ < 90.05) = 0.7930 (Round to four decimal places as needed.)
Expert Solution
Step 1: Information given is

Mean(straight mu)=83

standard deviation(straight sigma)=24

sample size(n)=64


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