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 sxs110) for a random sample of size n= 10 (b) P(90sxs110) for a random sample of size n= 20 Choose the correct answer below. O A. P(90 sxs 110) for a random sample of sizen=10 has a higher probability. Asn increases, the standard deviation decreases. O B. P(90 sxs 110) for a random sample of size n= 20 has a higher probability. As n increases, the standard deviation decreases. O C. P(90 sxs 110) for a random sample of sizen=10 has a higher probability. Asn increases, the standard deviation increases. O D. P(90 sxs 110) for a random sample of sizen=20 has a higher probability. Asn increases, the standard deviation increases.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 2E
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Without doing any computation, decide which has a higher probability, assuming each sample
from a population that is normally distributed with µ = 100 and o = 15. Explain your reasoning.
(a) P(90 sxs 110) for a random sample of size n= 10
(b) P(90 sxs 110) for a random sample of size n= 20
Choose the correct answer below.
O A. P(90 sxs 110) for a random sample of size n= 10 has a higher probability. As n increases, the standard deviation decreases.
O B. P(90 sxs 110) for a random sample of size n= 20 has a higher probability. As n increases, the standard deviation decreases.
O C. P(90 sxs 110) for a random sample of size n= 10 has a higher probability. As n increases, the standard deviation increases.
O D. P(90 sxs 110) for a random sample of size n= 20 has a higher probability. As n increases, the standard deviation increases.
Transcribed Image Text:Without doing any computation, decide which has a higher probability, assuming each sample from a population that is normally distributed with µ = 100 and o = 15. Explain your reasoning. (a) P(90 sxs 110) for a random sample of size n= 10 (b) P(90 sxs 110) for a random sample of size n= 20 Choose the correct answer below. O A. P(90 sxs 110) for a random sample of size n= 10 has a higher probability. As n increases, the standard deviation decreases. O B. P(90 sxs 110) for a random sample of size n= 20 has a higher probability. As n increases, the standard deviation decreases. O C. P(90 sxs 110) for a random sample of size n= 10 has a higher probability. As n increases, the standard deviation increases. O D. P(90 sxs 110) for a random sample of size n= 20 has a higher probability. As n increases, the standard deviation increases.
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