Exam 8: Testing the Difference Between Two Means, Two Proportions, and Two Variances

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What is the critical value for a two-tailed F -test with a=0.10a = 0.10 when the sample size from which the variance for the numerator was obtained was 10, and the sample size from which the denominator was Obtained was 24?

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Find pˉ\bar { p } and qˉ\bar { q } when X1=10,n1=60,X2=15X _ { 1 } = 10 , n _ { 1 } = 60 , X _ { 2 } = 15 , and n2=60n _ { 2 } = 60

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In a study comparing the systolic blood pressure of individuals sitting and standing, 10 subjects had their blood pressure measured in the two conditions. The investigator planned to test the hypothesis that the Mean blood pressure readings are the same sitting and standing (the subjects remained in each position For 5 minutes). If the investigator tests at the 10% level of significance, the rejection region would be

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When hypothesizing a difference of 0, if the confidence interval does not contain 0, the null hypothesis is rejected.

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What is the critical value? Use α=0.05\alpha = 0.05 (Use the variances unequal formula.)

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A marketing firm asked a random set of married women and married men how much they were willing to spend for jewellery as a present for their spouse. Can the firm conclude, at  A marketing firm asked a random set of married women and married men how much they were willing to spend for jewellery as a present for their spouse. Can the firm conclude, at   , that Each of the two groups has a different willingness to spend? (Use the unequal variances formula.)  \begin{array} { | l | c | c | }  \hline & \text { Women } & \text { Men } \\ \hline \text { Sample size } & 8 & 11 \\ \hline \text { Mean spending amount } & 80 & 55 \\ \hline \text { Sample variance } & 50 & 800 \\ \hline \end{array} , that Each of the two groups has a different willingness to spend? (Use the unequal variances formula.) Women Men Sample size 8 11 Mean spending amount 80 55 Sample variance 50 800

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What is the test value? Use a=0.05a = 0.05 Refer To: 09-18

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A researcher wanted to determine if using an octane booster would increase gasoline mileage. A random sample of seven cars was selected; the cars were driven for two weeks without the booster and two weeks with the booster. Miles / Gal Without Miles / Gal With 21.2 23.8 25.4 25.6 20.9 22.4 27.6 28.3 22.8 24.5 27.3 28.8 23.4 25.2 -What is the critical value using a=0.05a = 0.05 ?

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The value of F cannot be negative, because variances are always positive or zero.

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A college class believes that the average grade averages of psychology students and the average grade averages of biology students are different. The class found that the actual grade averages of a sample of 10 psychology students was 3.2, and the average grade average of a sample of 10 biology students was

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When finding the F -test value, the smaller of the variances is placed in the numerator.

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 If s1=12.31 and F=2.13, what is the value of s2 as shown in the figure below? \text { If } \mathrm { s } _ { 1 } = 12.31 \text { and } F = 2.13 \text {, what is the value of } \mathrm { s } _ { 2 } \text { as shown in the figure below? } \text { If } \mathrm { s } _ { 1 } = 12.31 \text { and } F = 2.13 \text {, what is the value of } \mathrm { s } _ { 2 } \text { as shown in the figure below? }

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A study of cats and dogs found that 25 of 50 cats and 44 of 60 dogs slept more than 10 hours per day. At the .05 level of significance, is there sufficient evidence to conclude that a difference exists between the Proportion of cats and the proportion of dogs that sleep more than 10 hours per day?

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When testing the difference between two proportions, one sample had 30 out of 100 who were for capital punishment, and the other sample had 60 out of 80 who were for capital punishment. Calculate the Standard error.

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