In: Statistics and Probability
se technology to find the P-value for the hypothesis test described below.
The claim is that for 12 AM body temperatures, the mean is
muμgreater than>98.6degrees°F.
The sample size is
nequals=5
and the test statistic is
tequals=1.078.
P-valueequals=nothing
(Round to three decimal places as needed.)
Solution:
Given:
Claim: For 12 AM body temperatures, the mean is μ >98.6 °F.
Since claim is > type this is right tailed test ( one tailed)
n = sample size = 5
thus df = degrees of freedom = n - 1 = 5 - 1 = 4
t = 1.078
We have to find P-value:
Use TI 84 plus calculator to find P-value:
Press 2ND and VARS
Select tcdf(
Enter numbers:
Upper limit is infinity, so enter very large number
click on Paste and press Enter two times
thus
P-value = 0.1708524896
P-value = 0.171
We can use Excel also:
=T.DIST.RT(x,df)
=T.DIST.RT(1.078,4)
=0.17085249
=0.171
Thus P-value = 0.171