Exam 17: Hypothesis Testing Related to Differences

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A(n)________ is commonly used for the purpose of providing inferences for making statements about the means of parent populations.

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A univariate hypothesis test using the t distribution,which is used when the standard deviation is unknown and the sample size is small,is called the z-test.

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Which would be the appropriate way to test differences in proportions for more than two samples?

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The critical values for a two-tailed z-test,given a significance level of 0.05,would be ________.

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In its simplest form,ANOVA must have a(n)________ that is metric.

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According to the text,samples drawn randomly from different populations are termed ________.

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The most popular parametric test is the ________ conducted for examining hypotheses about means.

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A frequency distribution that depends on two sets of degrees of freedom is called a(n)________.

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According to the text,samples drawn randomly from different populations are termed independent samples.

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The most popular parametric test is the t-test conducted for examining hypotheses about means.

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In its simplest form,ANOVA must have a dependent variable that is metric.

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A t-test of sample variance may be performed if it is not known whether the two populations have equal variance.

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Which of the following is the first step in hypothesis testing based on the t statistic?

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The ________ is a statistic that assumes that the variable has a symmetric bell-shaped distribution and the mean is known,and the population variance is estimated from the sample.

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According to the text,the t distribution is similar to the ________ in appearance.

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Significance of the overall effect indicates that some differences exist between some of the treatment groups.

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In the case of conducting the t-test on the means of two samples of observations,the samples can be independent or paired.

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The categorical independent variables used in an analysis of variance are called factors.

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The null hypothesis of equal means for more than two samples is tested by a(n)________,which is the ratio of the mean square related to the independent variable to the mean square related to error.

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Recently,the competition between Kodak and Fuji has been intensifying.Kodak has reportedly been analyzing films made by Fuji,and Sam's Choice to determine the secrets of these other brands supposedly bright colors.As part of an analysis,a random sample of camera film from Kodak,Fuji,and Sam's Choice was used to take photos under identical light conditions.The film was developed under identical conditions and then tested photochemically to determine photo brightness.With higher values indicating brighter film,do the three brands of film have the same brightness? State the hypotheses for this test.Show your work.  Recently,the competition between Kodak and Fuji has been intensifying.Kodak has reportedly been analyzing films made by Fuji,and Sam's Choice to determine the secrets of these other brands supposedly bright colors.As part of an analysis,a random sample of camera film from Kodak,Fuji,and Sam's Choice was used to take photos under identical light conditions.The film was developed under identical conditions and then tested photochemically to determine photo brightness.With higher values indicating brighter film,do the three brands of film have the same brightness? State the hypotheses for this test.Show your work.     \text { Fill in the missing blocks of the ANOVA table below. }     \begin{array} { | l | r | l | l | l | l | }  \hline & \begin{array} { l }  \text { Sum of } \\ \text { Squares } \end{array} & \text { df } & \text { Mean Square } & \text { F } & \text { Sig. } \\ \hline \text { Between } & 53.733 & & & & \\ \text { Groups } & 64.000 & & & & .026 \\ \text { Within Groups } & 117.733 & & & & \\ \hline \text { Total } & & & & \\ \hline \end{array}  Fill in the missing blocks of the ANOVA table below. \text { Fill in the missing blocks of the ANOVA table below. } Sum of Squares df Mean Square F Sig. Between 53.733 Groups 64.000 .026 Within Groups 117.733 Total

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