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#6 , Match the following Failure to reject HO when HO is false The risk we are willing to take of a type 1 error,

#6, Match the following

Failure to reject HO when HO is false

The risk we are willing to take of a type 1 error, or the type 1 error rate

Rejection of H0 when H0 is false, or not rejecting H0 when H0 is true

Rejection of H0 when H0 is true

1, Type 1 error

2, Type 2 error

3, Not an error

4, alpha

#7, Match the following

The probability of a type 2 error

Test of this hypothesis requires 2-tailed test with lower reject region bounded by negative critical value and upper reject region bounded by positive value

Reject H0

Test of this hypothesis requires 1-tailed test with upper reject region

Test of this hypothesis requires 1-tailed test with lower reject region bounded by negative critical value

The power of a test = P(rejecting Ho I Ho false)

1

21-

3pvalue <

4Ho: 0

5Ho: 0

6Ho: =0

#8, Match the rules for rejecting H0 at the right to the following tests

For any test hypothesis, ANOVA, or Chi Squared, this rule for rejecting H0 always applies

Two- tail test with lower and upper reject regions

One- tail test with upper reject region

One-tail test with lower reject region

1.Test statistic > positive critical value

2.Test statistic < negative critical value

3.Test statistic outside interval (negative critical value, positive critical value)

4.pvalue <

#9, Match problems to procedures

Run times (msec) of a new phone app developed by GotYourGP and stablished competitor WeTrackYou.Inc. are logged in a data file. At = 0.05, are the run times of GotYourGP and WeTrackYou.Inc comparable

Test size C battery mean life is at least 25 hours

An effective vaccine would reduce the proportion of exposed persons contracting a disease. A pharmaceutical company wants to test the effectiveness of a new vaccine in preventing a certain disease. It is expected that 40% of unvaccinated exposed people will contract the disease. A group of 48 exposed persons volunteered to be vaccinated. Later two of the volunteers contracted the disease. Test H0: n 0.40 (vaccine ineffective) at = 0.01

Testing that a gasoline additive increases mileage, we compute mpg additive minus mpg without additive for each car. If the mean of the differences is positive enough, action will be required to implement the additive

Given wight of 31, 29, 26,33, 40,28, 30, and 25, at = 0.05 test that the population mean 35

1.1-tailed test of proportion with negative critical value

2.2-tailed test of mean with both negative and positive critical values

3.1-tailed test of mean with negative critical values

4.1-tailed test of paired data with positive critical value

5.2-tailed test of means of 2 independent populations

#10, Match problem to procedures

Does the data validate the normal probability distribution assumption?

Data were gathered in an experiment comparing the effects of three insecticides in controlling a certain species of parasitic beetle. Each observation represents the number of such insects found dead in certain fixed area treated with an insecticide.

Do contingency table classification values matter?

A multinomial probability distribution describes the distribution of counts across multiple levels of a variable. A special case is binomial discreet probability distribution. For each level of a varible, which is common to multiple populations, equality of distributions can be tested

1.ANOVA

2.Chi-square test of homogeneity

3.Chi-square test of independence

4.Chi-square test of goodness of fit

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