class 13 the iq experiment 9.3 9.4 10.2 10.4 10.5 8.1 8.3
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H0: Ha: Test Statistic Calculation of p-value 9.3TRANSCRIPT
Class 13The IQ Experiment
9.39.4
10.210.410.58.18.3
H0:
Ha:
Test Statistic
Calculation of p-value
9.3
H0:
Ha:
Test Statistic
Calculation of p-value
9.3
𝒁 σ
s is the sample standard
deviation.Calculated using
=stdev()
Using s in place of σ, changes the
Z-statistic to a t-statistic.
H0: μ=100
Ha: μ>100
Calculation of p-value
= T.DIST.RT(calculated t, dof)=
9.4
n-1
H0: μM = μF
Ha: μM ≠ μF
Test Statistic(use Excel
DataAnalysis, t-test 2-sample = variances)
Calculation of p-valueExcel will give it to you…. or=t.test(array1,array2,2,2)=
2 tails 2 sample
10.2If you have the data….
H0: μM = μF
Ha: μM ≠ μF
Calculation of p-value=t.dist.2t(calculated t,dof) =
Test Statistic
10.2
n1+n2-2
If you only have the summary statistics….
Page 415
Class 14 will be about Paired Tests
H0: μfall = μspring= μother
Ha: they are not =
Test Statistic
F-statistic
Calculation of p-value
Use DataAnalysis, ANOVA: single factor
10.4 and 10.5 applied
Confidence Intervals8.1 and 8.3
If you know μ and σ
95% probability interval for
𝜇∓1.96× 𝜎√𝑛
If you know and σ
95% confidence interval for
𝑋𝑛∓1.96×𝜎√𝑛
If you know and s
95% confidence interval for
𝑋𝑛∓𝑡 .𝑖𝑛𝑣 .2 𝑡(0.05 ,𝑑𝑜𝑓 )× 𝑠√𝑛
There is a 95% pwill fall in this interval
There is a 95% pthis interval will cover μ.
There is a 95% pthis interval will cover μ.
8.1 and 8.3
Today we learned….
• Three new hypothesis tests involving MEANS of numerical random variables.– All our earlier hypotheses tests were about categorical
random variables. (stacker, sales, admin) (success, fail) (38 wheel segments) (Jan, Feb, … Dec)
– One-sample, two-sample, ANOVA-single factor• What to do when we use s in place of σ.– Switch from the normal/z to the t
• dof (n-1 or n1+n2-1) informs the t how good our estimate of σ is.