Assume that the population standard deviation is known to be 16.8. What is the standard deviation of the distribution of your point estimator
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Suppose x has a distribution with μ = 84 and σ = 18. a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? Yes, the x distribution is normal with mean μ x = 84 and σ x = 1.1. No, the sample size is too small. Yes, the x distribution is normal with mean μ x = 84 and σ x = 18. Yes, the x distribution is normal with mean μ x = 84 and σ x = 4.5. (b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16? Yes, the x distribution is normal with mean μ x = 84 and σ x = 4.5. Yes, the x distribution is normal with mean μ x = 84 and σ x = 18. Yes, the x distribution is normal with mean μ x = 84 and σ x = 1.1. No, the sample size is too small. Find P(80 ≤ x ≤ 85). (Round your answer to four decimal places.)
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Suppose a simple random sample of size n = 150 is obtained from a population whose size is N = 30,000 and whose population proportion with a specified characteristic is p = 0.8. Complete parts (a) through (c) below. Determine the standard deviation of the sampling distribution of p̂. σp̂ = 0.032660 (Round to six decimal places as needed.) (b) What is the probability of obtaining x = 126 or more individuals with the characteristic? That is, what is P(p̂ ≥ 0.84)? P(p̂ ≥ 0.84) = (Round to four decimal places as needed.)
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