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ANOVA and hypothesis testing problems

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Week 3 Concepts and Formulas PLUS WEEK THREE SUPERSTATS

In moving forward this week, we are examining the analysis of multi-populations. Specifically we are examining 2 populations and more than 2 populations.

The populations we are examining this week are illustrated as:

1. Un-paired populations (Group A versus Group B)
2. Paired Populations (Group A before an intervention versus Group A after the intervention)
3. Multi-populations (Group A versus Group B versus Group C versus Group D)

1. Z-test for Unpaired populations (IV is nominal and DV is interval)
2. T-test for Unpaired populations (IV is nominal and DV is interval)
3. T-test for Paired populations (IV is nominal and DV is interval)
4. ANOVA for multi-populations (IV is nominal and DV is interval)

There will be corresponding Superstats for each process with discussions associated.

Mitigating Barriers to Black Employment (due by Saturday the 1st)

Death Row Superstat (due by Sunday the 2nd)

Hi Team 342

In continuing our discussion regarding the death penalty (or the beginnings of a discussion at this point) and referencing your most recent lectures on the T-test for Paired data....please read and complete the following. This is due on Sunday the 2nd of August.

There has been much debate over the use of the death penalty. Advocates of the death penalty feel that the penalty will reduce crime. However, as we have seen in recent years, it is being revealed that many innocent individuals may have been falsely convicted and sentenced to death due to prejudiced jurors and mishandling of evidence. In California, we recently had the Tookie Williams case which was a big debate.

The following table represents 12 nations that had abolished the death penalty. What you are about to view is the nation's homicide rate one year before the abolition of the death penalty and then one year after the death penalty.

Is there a difference in the change in crime rates from one year to the other? (95% level of confidence). Please read Week 3 lecture 1 to understand how to do this problem. You have 2 different options as to solve this case. I will post these lectures on Monday

Country with date of Abolition Homicide rate 1 year before abolition (per 100,000 pop.) Homicide rate 1 year after abolition
Austria (1968) .72 .71
England (1965) .36 .35
Finland (1949) 1.05 .72
Israel (1954) 4.00 1.72
Italy (1890) 13.30 12.94
Sweden (1921) .43 .15
Switzerland (1942) 45.25 35.65
Canada (1967) 1.10 1.52
Denmark (1930) 33.89 35.68
Netherlands (1957) 13.19 20.32
New Zealand (1961) .04 .08
Norway (1905) .35 .39

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Solution Summary

The solution provides step by step method for the calculation of test statistic for ANOVA and hypothesis testing problems . Formula for the calculation and Interpretations of the results are also included.

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Hypothesis testing problems : ANOVA

vehicle Miles per gallon xbar variance
Panzer 9.3, 9.3 9.3 8.6 8.7 9.3 9.3 9.91 0.10

T-34 8.7, 7.7, 7.7, 8.7, 8.2, 9.0,7.4,7.0 8.03 0.60

Sherman 7.2,7.9,6.8,7.4,6.5,6.6,6.7,6.5,6.5,7.1,6.7,5.5,7.3 6.82 0.34

you are also given that xbar=7.99

What is the test statistic? use a 5% significance level(95% confidence interval) to test the claim that the different vehicle categories have the same MPG.

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