Casio ALGEBRA FX 2.0 Examples Manual page 11

Example A company manufactures large rocket engines used to project
satellites into space. The government buys the rockets, and the
contract specifies that these engines are to use an average of 5550 lb
of rocket fuel the first 15 sec operation. The company claims their
engines fit specifications. To test the claim an inspector randomly
selects six such engines from the warehouse. These 6 engines are
fired 15 sec each and the fuel consumption for each engine is meas-
ured. For all six engines, the mean fuel consumption is
pounds and the standard deviation is
justified at the 5% level of significance?
Procedure
1 m STAT2
2 3(TEST) c(T)b(1-Smpl)
3 2(VAR) c
1( ) c
fffaw
fhfaw
cfaw
gw
1(None) c
4 1(CALC)
6(DRAW)
Result Screen
Since P = 0.107344401 > 0.05 (level of significance), we can't reject the null hypothesis
=5550 and conclude that the data does not present sufficient evidence to indicate that the
average fuel consumption from the first 15 seconds of operation is different from
11
examples
x
n -1
o o o o o
= 5750
= 250 lb. Is the claim
=5550.