The following table shows the monthly return rates for two mutual funds during 12 randomly chosen months. Fund A return rate 7 18.4 15.8 8.6 15.3 11.4 10.3 9 12.9 7.8 15.4 17.9 Fund B return rate 11.7 23.1 17.1 13.3 13.3 11.4 12.9 11 14.7 12.6 18.5 20.8 Difference -4.7 -4.7 -1.3 -4.7 2 0 -2.6 -2 -1.8 -4.8 -3.1 -2.9 At the 0.10 level of significance, can we conclude (by using the Wilcoxon signed-ranks test) that there is a difference between the populations of Fund A return rates and Fund B return rates? Perform a test by completing the parts below. (If necessary, consult a table with critical values for the Wilcoxon signed ranks test.) (a) Find the value of the test statistic. ☐ (b) Find the critical value. ☐ (c) Decide whether to reject Ho (Choose one) (d) At the 0.10 level, can we conclude that there is a difference between the populations. of Fund A return rates and Fund B return rates? X O Yes O No

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The following table shows the monthly return rates for two mutual funds during 12 randomly chosen months.
Fund A return rate 7 18.4 15.8 8.6 15.3 11.4 10.3 9 12.9 7.8 15.4 17.9
Fund B return rate 11.7 23.1 17.1 13.3 13.3 11.4 12.9 11 14.7 12.6 18.5 20.8
Difference
-4.7 -4.7 -1.3 -4.7 2 0 -2.6 -2 -1.8 -4.8 -3.1 -2.9
At the 0.10 level of significance, can we conclude (by using the Wilcoxon signed-ranks test) that there is a difference between the populations of Fund A return
rates and Fund B return rates?
Perform a test by completing the parts below.
(If necessary, consult a table with critical values for the Wilcoxon signed ranks test.)
(a) Find the value of the test statistic.
☐
(b) Find the critical value.
☐
(c) Decide whether to reject Ho
(Choose one)
(d) At the 0.10 level, can we conclude that there is a difference between the populations.
of Fund A return rates and Fund B return rates?
X
O Yes
O No
Transcribed Image Text:The following table shows the monthly return rates for two mutual funds during 12 randomly chosen months. Fund A return rate 7 18.4 15.8 8.6 15.3 11.4 10.3 9 12.9 7.8 15.4 17.9 Fund B return rate 11.7 23.1 17.1 13.3 13.3 11.4 12.9 11 14.7 12.6 18.5 20.8 Difference -4.7 -4.7 -1.3 -4.7 2 0 -2.6 -2 -1.8 -4.8 -3.1 -2.9 At the 0.10 level of significance, can we conclude (by using the Wilcoxon signed-ranks test) that there is a difference between the populations of Fund A return rates and Fund B return rates? Perform a test by completing the parts below. (If necessary, consult a table with critical values for the Wilcoxon signed ranks test.) (a) Find the value of the test statistic. ☐ (b) Find the critical value. ☐ (c) Decide whether to reject Ho (Choose one) (d) At the 0.10 level, can we conclude that there is a difference between the populations. of Fund A return rates and Fund B return rates? X O Yes O No
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