4. The scores on a standardized mathematics test for 8th-grade children in New York State form a normal distribution with a mean of u = 70 and a standard deviation of o = 10. a. What proportion of the students in the state have scores less than X = 75? b. If samples of n = 4 are selected from the popula- tion, what proportion of the samples will have means less than M 75? c. If samples of n = 25 are selected from the popu- lation, what proportion of the samples will have means less than M 75? ||

MATLAB: An Introduction with Applications
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14. The scores on a standardized mathematics test for
8th-grade children in New York State form a normal
distribution with a mean of u = 70 and a standard
deviation of o = 10.
a. What proportion of the students in the state have
scores less than X = 75?
4 are selected from the popula-
b. If samples of n =
tion, what proportion of the samples will have
means less than M= 75?
c. If samples of n = 25 are selected from the popu-
lation, what proportion of the samples will have
means less than M = 75?
54 ond a
Transcribed Image Text:14. The scores on a standardized mathematics test for 8th-grade children in New York State form a normal distribution with a mean of u = 70 and a standard deviation of o = 10. a. What proportion of the students in the state have scores less than X = 75? 4 are selected from the popula- b. If samples of n = tion, what proportion of the samples will have means less than M= 75? c. If samples of n = 25 are selected from the popu- lation, what proportion of the samples will have means less than M = 75? 54 ond a
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