# Unit 9 Statistics Pearson's Elementary Statistics

**Topics:**Null hypothesis, Statistical hypothesis testing, Statistical power

**Pages:**2 (525 words)

**Published:**June 13, 2011

Lincoln College Online

Staci Morris

Statistics Unit 9

Page 581-584 #4, 5, 7, 15, and 18

4.) Describe the hypotheses for a two way ANOVA test.

Two way ANOVA Test will have three null hypotheses. One hypothesis will represent the independent variable, and its effects on the second hypothesis which is the dependent variable (main effect). The third null hypothesis is the interaction effect on both independent variables on the dependent variable. 5.) The table shows the cost per ounce (in dollars) for a random sample of toothpastes exhibiting very good stain removal, good stain removal, and fair stain removal. At a = 0.05, can you conclude that the mean costs per ounce are different?

a.) Hₒ: μ¹ = μ² = μᶟ

Hₐ: Claim- one mean is seen as being different from the others.

b.) Fₒ = 3.37Rejection Region F > 3.37

c.) 1.02

d.) Fail to reject the Hₒ

e.) Evidence is not enough at 5% significance level to determine if the mean cost per ounce is different. 7.) The table shows the salaries (in thousands of dollars) of randomly selected individuals from the federal, state, and local levels of government. At a = 0.01, can you conclude that at least one mean salary is different?

a.) Hₒ: μ¹ = μ² = μᶟ

Hₐ: Claim- one mean is different from the others

b.) Fₒ = 5.49Rejection Region F > 5.49

c.) 22.99

d.) Reject Hₒ

e.) There is evidence at 1% significance level to determine that at least one mean salary is different. 15.) Table shows the number of female students who played on a sports team in grades 9 through 12 for a random sample of 8 high schools in a state. At a 0.01, can you reject the claim that the mean numbers of female students who played on a sports team are equal for all grades? Analysis of Variance:

Column Means

ColumnnMeanStandard Error

Grade 9884.3759.531784

Grade 10879.259.090321

Grade 11876.6257.648383

Grade 12870.756.9224014

ANOVA...

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