Without doing any computation, decide which has a higher probability, assuming e

Question

Without doing any computation, decide which has a higher probability, assuming each sample is from a population that is normally distributed with = 100 and = 15 Explain your reasoning (a) P(90SX (b) P(90 sx 110) for a random sample of size n = 10 110) for a random sample of size n 20 Choose the correct answer below O A. P(90sx110) for a random sample of size n 10 has a higher probability. As n increases, the standard deviation increases. O B. P(90sxs 110) for a random sample of size n 20 has a higher probability As n increases, the standard deviation decreases OC. P(90sxs110) for a random sample of size n 20 has a higher probability. As n increases, the standard deviation increases. O D. P(90sxs110) for a random sample of size n 10 has a higher probability. As n increases, the standard deviation decreases.

Explanation / Answer

As the sample size n increases, the confidence interval becomes smaller because standard error decreases thus the correct answer is D

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