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# T-test for a Sample Height

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) _________________________

#### Solution Preview

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 ...

#### Solution Summary

Given sample tested whether follow population mean or not.

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