9.30
(a) One-Sample T: C1
Test of mu = 22.5 vs not = 22.5
Variable N Mean StDev SE Mean 95% CI T P
C1 5 22.4960 0.3783 0.1692 (22.0262, 22.9658) -0.02 0.982
The P-value of .982 says we get data favoring HA by this much 98.2% of the time when
H0 is actually true. We do not reject H0 since P-value > 0.05. There is no evidence to
contradict H0, so the results are not significant.
(b) With 5 observations it is pretty hard to tell, but there is no evidence to contradict an
assumption of normality
C1
23.0
22.8
22.6
22.4
22.2
22.0
Boxplot of C1
(c) Don’t worry about calculating power
(d) Power and Sample Size
1-Sample t Test
Testing mean = null (versus not = null)
Calculating power for mean = null + difference
Alpha = 0.05 Assumed standard deviation = 0.3783
Sample Target
Difference Size Power Actual Power
0.25 27 0.9 0.910618
(e) 22.5 is in the 95% CI for µ, so we would not reject H0
