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e-2. Find the p-value. ? p-value ? 0.10 ? 0.05 ? p-value < 0.10 ? 0.025 ? p-value < 0.05 ? 0.01 ? p-value < 0.025 ? p-value < 0.01 f. At the 5% significance level, what is the conclusion to the test? ? Do not reject $H_0$ since the p-value is not less than significance level. ? Reject $H_0$ since the p-value is less than significance level. ? Reject $H_0$ since the p-value is not less than significance level. ? Do not reject $H_0$ since the p-value is less than significance level. g. Interpret the results at ? = 0.05. ? We conclude that some means differ. ? We cannot conclude that some means differ. ? We cannot conclude that all means differ. ? We cannot conclude that population mean C is greater than population mean A.

          e-2. Find the p-value.
? p-value ? 0.10
? 0.05 ? p-value < 0.10
? 0.025 ? p-value < 0.05
? 0.01 ? p-value < 0.025
? p-value < 0.01
f. At the 5% significance level, what is the conclusion to the test?
? Do not reject $H_0$ since the p-value is not less than significance level.
? Reject $H_0$ since the p-value is less than significance level.
? Reject $H_0$ since the p-value is not less than significance level.
? Do not reject $H_0$ since the p-value is less than significance level.
g. Interpret the results at ? = 0.05.
? We conclude that some means differ.
? We cannot conclude that some means differ.
? We cannot conclude that all means differ.
? We cannot conclude that population mean C is greater than population mean A.

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e-2. Find the p-value.
? p-value ? 0.10
? 0.05 ? p-value < 0.10
? 0.025 ? p-value < 0.05
? 0.01 ? p-value < 0.025
? p-value < 0.01
f. At the 5% significance level, what is the conclusion to the test?
? Do not reject H0 since the p-value is not less than significance level.
? Reject H0 since the p-value is less than significance level.
? Reject H0 since the p-value is not less than significance level.
? Do not reject H0 since the p-value is less than significance level.
g. Interpret the results at ? = 0.05.
? We conclude that some means differ.
? We cannot conclude that some means differ.
? We cannot conclude that all means differ.
? We cannot conclude that population mean C is greater than population mean A.

Added by Leroy P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

06/30/2023

Step 1

Step 1: To find the p-value, we need to compare the p-value given in the question to the significance levels provided. Show more…

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e-2. Find the p-value. p-value >=0.10 0.05<=p-value <0.10 0.025<=p-value <0.05 0.01<=p-value <0.025 p-value <0.01 f. At the 5% significance level, what is the conclusion to the test? Do not reject H_( heta ) since the p-value is not less than significance level. Reject H_( heta ) since the p-value is less than significance level. Reject H_( heta ) since the p-value is not less than significance level. Do not reject H_( heta ) since the p-value is less than significance level. g. Interpret the results at alpha =0.05. We conclude that some means differ. We cannot conclude that some means differ. We cannot conclude that all means differ. We cannot conclude that population mean C is greater than population mean A. e-2.Find the p-value O p-value0.10 O0.05s p-value<0.10 O 0.025 p-value<0.05 O 0.01 p-value<0.025 Op-value<0.01 f. At the 5% significance level, what is the conclusion to the test? O Do not reject He since the p-value is not less than significance level. O Reject He since the p-value is less than significance level. O Reject He since the p-value is not less than significance level. O Do not reject He since the p-value is less than significance level g.Interpret the results at =0.05. O We conclude that some means differ. O We cannot conclude that some means differ. O We cannot conclude that all means differ. O We cannot conclude that population mean C is greater than population mean A

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00:01 Hello students here we are having n1 equal to 8, n2 equal to 8, x1 bar equal to 254, x2 bar equal to 62, s1 equal to 35, s2 equal to 23, s1 square equal to 1225, s2 square equal to 529.

00:34 So here the degrees of freedom equal to n1 plus n2 minus 2.

00:40 So which is equal to 8 plus 8 minus 2.

00:45 So which is equal to 14.

00:48 Now we have to write the hypothesis.

00:50 So we are writing the null hypothesis h naught as mu1 minus mu2 greater than or equal to 0.

00:57 Against the alternative hypothesis which one mu1 minus mu2 less than 0.

01:03 So here the first question is to calculate a1 is test statistic.

01:11 So to calculate the test statistic we need pooled variance.

01:16 So pooled variance is given by sp square equal to n1 minus 1 s1 square plus n2 minus 1 s2 square divided by n1 plus n2 minus 2 which is equal to 7 into 1225 plus 7 into 529 divided by 8 plus 8 minus 2.

02:12 So which is equal to 877.

02:15 That is pooled variance sp square equal to 877.

02:19 Now we have to write the test statistic.

02:22 So the test statistic is given by t equal to x1 bar minus x2 bar divided by square root of sp square into 1 by n1 plus 1 by n2 which is equal to 254 minus 262 divided by square root of 877 into 1 by 8 plus 1 by 8.

03:07 So which is equal to minus 0 .540.

03:17 That is our test statistic p.

03:19 Therefore test statistic p equal to minus 0 .540.

03:33 Here the second question is to calculate p value...

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