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Application of Statistical Concepts: Probability, Sampling Methods, and Central Limit Theorem

This paper applies statistical concepts such as probability, sampling methods, and the central limit theorem in research.

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    Application of Statistical Concepts: Probability, Sampling Methods, and Central Limit Theorem Question 1 According to the central limit theorem, if a sample of size 64 is drawn from a population with a mean of 56, the mean of all sample means would equal _________ . 7.00 56.00 64.00 0.875 128.00 Question 2 According to the central limit theorem, if a sample of size 100 is drawn from a population with a standard deviation of 80, the standard deviation of sample means would equal __________ . 0.80 8 80 800 0.080 Question 3 According to the central limit theorem, for samples of size 64 drawn from a population with μ = 800 and σ = 56, the standard deviation of the sampling distribution of sample means would equal __________ . 7 8 100 800 80

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    Question 4 Suppose a population has a mean of 90 and a standard deviation of 28. If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a mean of more than 95 is _________ . 0.1056 0.3944 0.4286 0.8944 1.0000 Question 5 Suppose a population has a mean of 90 and a standard deviation of 28. If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a mean between 85 and 95 is _________ . 0.1056 0.3944 0.7888 0.2112 0.5000 Question 6 Suppose a population has a mean of 90 and a standard deviation of 28. If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a mean between 80 and 100 is _________ . 0.9876 0.0124 0.4938 0.0062 1.0000

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