A simple random sample of size n = 36 is obtained from a population with µ = 74 and ? = 18. (a) Describe the sampling distribution of x?. (b) What is P (x? > 78.8) ? (c) What is P (x? ? 67.55) ? (d) What is P (71.15 < x? < 78.95) ? (a) Choose the correct description of the shape of the sampling distribution of x?. A. The distribution is approximately normal. B. The distribution is skewed left. C. The distribution is skewed right. D. The distribution is uniform. E. The shape of the distribution is unknown.
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(a) We want to describe the sampling distribution of the sample mean (X̄). According to the Central Limit Theorem, if the sample size is large enough (n ≥ 30), the sampling distribution of the sample mean will be approximately normal, regardless of the shape of Show more…
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