T-test for a Sample Height
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From literature research, a physiologist learns that the national average height for male college students is 70 inches. Twenty randomly-chosen male students at AWC had the following heights:
68, 71, 73, 66, 65, 68, 58, 63, 77, 57, 69, 63, 64, 59, 74, 72, 70, 64, 56, 72
At α = 0.05, do male college students at AWC follow the national average.
a) The name of the appropriate test is: ___________________________________
b) List any 3 assumptions:
c) Hypothesis: H0: _______________________ H1: _______________________
d) Test Statistic value: ____________ d.f.: ____________ P-value: ____________
e) Conclusions: Reject or Retain H0 (circle one)
Summary Statement: _____________________________________________
______________________________________________________________
f) Calculate a 95% Confidence Interval on the population mean.
____________________________________________________________________
g) _________________________
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Solution Summary
Given sample tested whether follow population mean or not.
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a) The name of the appropriate test is: t-test
b) List any 3 assumptions:
i. Population data are normally distributed.
ii. Sample selected is random
iii. s^2 (sample SD) follow chi square distribution
c) Hypothesis:
H0: College ...
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- BEng, Allahabad University, India
- MSc , Pune University, India
- PhD (IP), Pune University, India
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