Suppose a simple random sample of size n = 64 is obtained from a population that is skewed right with u = 70 and o=16. (a) Describe the sampling distribution of x. (b) What is P (x>73.9)? (c) What is P (x≤65.3) ? (d) What is P (68.7

MATLAB: An Introduction with Applications
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**Problem Statement:**

Suppose a simple random sample of size \( n = 64 \) is obtained from a population that is skewed right with \( \mu = 70 \) and \( \sigma = 16 \).

**Questions:**

(a) Describe the sampling distribution of \( \bar{x} \).

(b) What is \( P(\bar{x} > 73.9) \)?

(c) What is \( P(\bar{x} \leq 65.3) \)?

(d) What is \( P(68.7 < \bar{x} < 74) \)?

---

**(a) Choose the correct description of the shape of the sampling distribution of \( \bar{x} \).**

- A. The distribution is skewed left.
- B. The distribution is uniform.
- C. The distribution is skewed right.
- D. The distribution is approximately normal.
- E. The shape of the distribution is unknown.
Transcribed Image Text:**Problem Statement:** Suppose a simple random sample of size \( n = 64 \) is obtained from a population that is skewed right with \( \mu = 70 \) and \( \sigma = 16 \). **Questions:** (a) Describe the sampling distribution of \( \bar{x} \). (b) What is \( P(\bar{x} > 73.9) \)? (c) What is \( P(\bar{x} \leq 65.3) \)? (d) What is \( P(68.7 < \bar{x} < 74) \)? --- **(a) Choose the correct description of the shape of the sampling distribution of \( \bar{x} \).** - A. The distribution is skewed left. - B. The distribution is uniform. - C. The distribution is skewed right. - D. The distribution is approximately normal. - E. The shape of the distribution is unknown.
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