Preliminary data analyses indicates that use of a paired Wilcoxon signed-rank test is reasonable. Perform the hypothesistest by using a paired Wilcoxon signed-rank test. Assume that the null hypothesis is $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$
-Students are given scores on both the mathematics section and the verbal section of a standardized test. The data for a random sample of students is given below. $\begin{array} { l l l l l l l l l l } \text { Mathematics } & 347 & 440 & 327 & 456 & 427 & 349 & 377 & 398 & 425 \ \hline \text { Verbal } & 285 & 378 & 243 & 371 & 340 & 271 & 294 & 322 & 385 \end{array}$ At the 5% significance level, do the data provide sufficient evidence to conclude that there is a difference between the mean math score and the mean verbal score?

Question

Preliminary data analyses indicates that use of a paired Wilcoxon signed-rank test is reasonable. Perform the hypothesistest by using a paired Wilcoxon signed-rank test. Assume that the null hypothesis is $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$
-Students are given scores on both the mathematics section and the verbal section of a standardized test. The data for a random sample of students is given below. $\begin{array} { l l l l l l l l l l }  \text { Mathematics } & 347 & 440 & 327 & 456 & 427 & 349 & 377 & 398 & 425 \ \hline \text { Verbal } & 285 & 378 & 243 & 371 & 340 & 271 & 294 & 322 & 385 \end{array}$ At the 5% significance level, do the data provide sufficient evidence to conclude that there is a difference between the mean math score and the mean verbal score?

Quizplus · Accepted Answer

The Answer is

\begin{array} { l } \mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 } \ \mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } eq \mu _ { 2 } \ \alpha = 0.05 \ \mathrm {~W} = 45 \end{array}

Critical values

= 6

and 39 Reject

\mathrm { H } _ { 0 }

. At the

5 \%

significance level, the data provide sufficient evidence to conclude that there is a difference between the mean math score and the mean verbal score.

Preliminary Data Analyses Indicates That Use of a Paired Wilcoxon H0:μ1=μ2\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }H0​:μ1​=μ2​

Preliminary Data Analyses Indicates That Use of a Paired Wilcoxon $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$