62EstimatingaPopulationMeanwithaSmallSample&FindingSampleSizeDay2
Forn30 and isunknown,
(degreesoffreedom=n1)
ConfidenceIntervals:
EX 2
EX 3
Constructthe90%confidenceintervalforthemeanageofRHSseniorsf
sample
claim
Find the p-value for each scenario. Use =0.05 to determine if
we reject or fail to reject H0.
1.
TestStatistic:
t=1.2
(2tailtest)n=25
Pvalue:
reject or fail to reject H0
2.
TestStatistic:
62EstimatingaPopulationMeanwithaLargeSampleDay1
Objective:Usethesamplemeantoestimatethepopulationmeanwithadegreeofconfidence.Findthe
samplesizeneededforaspecificmarginoferroranddegreeofconfidence.
The
Components of Hypothesis Testing
EX 1 After analyzing 106 body temperatures of healthy adults, a medical researcher
makes a claim that the mean body temperature is less than 98.6F.
Expressthisclaimins
Section 73: Testing a Claim about a Mean: Large Samples
sample
ors
claim
Randomsampleof106healthyadultswherex=98.2Fands=0.62F
=98.6
98.6
=98.6
2TT
= 2 x (0.0001)
=0.0002
6.64
6.
7.
Reject H0
since