Without doing any computation, decide which has a higher probability, assuming each sample is from a population that is normally distributed with u= 100 and o = 15. Explain your reasoning. (a) P(90 sxs 110) for a random sample of size n= 10 (b) P(90 sxs110) for a random sample of size n= 20 Choose the correct answer below. O A. P(90 s xS 110) for a random sample of size n= 10 has a higher probability. As n increases, the standard deviation increases. O B. P(90 s xS110) for a random sample of size n= 20 has a higher probability. As n increases, the standard deviation decreases. OC. P(90 sxs 110) for a random sample of sizen=20 has a higher probability. As n increases, the standard deviation increases. O D. P(90 sxs 110) for a random sample of size n=10 has a higher probability. As n increases, the standard deviation decreases.

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Without doing any computation, decide which has a higher probability, assuming each sample is from a population that is normally distributed with µ= 100 and o = 15. Explain your reasoning.
(a) P(90 <xs 110) for a random sample of size n= 10
(b) P(90 sxs110) for a random sample of size n = 20
Choose the correct answer below.
O A. P(90 <x< 110) for a random sample of size n= 10 has a higher probability. As n increases, the standard deviation increases.
O B. P(90 <x<110) for a random sample of size n=20 has a higher probability. As n increases, the standard deviation decreases.
O C. P(90 <x< 110) for a random sample of sizen=20 has a higher probability. As n increases, the standard deviation increases.
O D. P(90 <x< 110) for a random sample of sizen= 10 has a higher probability. As n increases, the standard deviation decreases.
Click to select your answer.
Transcribed Image Text:Without doing any computation, decide which has a higher probability, assuming each sample is from a population that is normally distributed with µ= 100 and o = 15. Explain your reasoning. (a) P(90 <xs 110) for a random sample of size n= 10 (b) P(90 sxs110) for a random sample of size n = 20 Choose the correct answer below. O A. P(90 <x< 110) for a random sample of size n= 10 has a higher probability. As n increases, the standard deviation increases. O B. P(90 <x<110) for a random sample of size n=20 has a higher probability. As n increases, the standard deviation decreases. O C. P(90 <x< 110) for a random sample of sizen=20 has a higher probability. As n increases, the standard deviation increases. O D. P(90 <x< 110) for a random sample of sizen= 10 has a higher probability. As n increases, the standard deviation decreases. Click to select your answer.
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