We wish to test if there is a difference in the median weights for yellow and brown M&M's. A random sample of both types of M&M's is selected and weighed. The data was analyzed in Statdisk and with the following results. Total Num Values: 59 Rank Sum 1: Rank Sum 2: 829.5000 940.5000 780 Mean : St Dev: 65.49809 Test Statistic, z: 0.7557 Critical z: ±1.959962 Fail to Reject the Null Hypothesis Of these two choices (Wilcoxon signed-rank for matched pairs or Wilcoxon signed-rank for two independent samples) what type of test should have been conducted? What can be concluded? O The Wilcoxon signed-rank for matched pairs should have been conducted. There is insufficient evidence to conclude that there is a difference in the median weight of yellow and brown M&M's. O The Wilcoxon signed-rank for matched pairs should have been conducted. There is sufficient evidence to conclude that there is a difference in the median weight of yellow and brown M&M's. O The Wilcoxon rank-sum for two independent samples should have been conducted. There is sufficient evidence to conclude that there is a difference in the median weight of yellow and brown M&M's

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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We wish to test if there is a difference in the median weights for yellow and brown M&M's. A random sample of both types of M&M's is selected and weighed. The data was
analyzed in Statdisk and with the following results.
Total Num Values:
59
Rank Sum 1:
Rank Sum 2:
829.5000
940.5000
780
Mean :
St Dev:
65.49809
Test Statistic, z: 0.7557
Critical z:
±1.959962
Fail to Reject the Null Hypothesis
Of these two choices (Wilcoxon signed-rank for matched pairs or Wilcoxon signed-rank for two independent samples) what type of test should have been conducted? What can be
concluded?
O The Wilcoxon signed-rank for matched pairs should have been conducted. There is insufficient evidence to conclude that there is a difference in the median weight of yellow
and brown M&M's.
The Wilcoxon signed-rank for matched pairs should have been conducted. There is sufficient evidence to conclude that there is a difference in the median weight of yellow
and brown M&M's.
The Wilcoxon rank-sum for two independent samples should have been conducted. There is sufficient evidence to conclude that there is a difference in the median weight of
yellow and brown M&M's.
O The Wilcoxon rank-sum for two independent samples should have been conducted. There is insufficient evidence to conclude that there is a difference in the median weight of
yellow and brown M&M's.
Transcribed Image Text:We wish to test if there is a difference in the median weights for yellow and brown M&M's. A random sample of both types of M&M's is selected and weighed. The data was analyzed in Statdisk and with the following results. Total Num Values: 59 Rank Sum 1: Rank Sum 2: 829.5000 940.5000 780 Mean : St Dev: 65.49809 Test Statistic, z: 0.7557 Critical z: ±1.959962 Fail to Reject the Null Hypothesis Of these two choices (Wilcoxon signed-rank for matched pairs or Wilcoxon signed-rank for two independent samples) what type of test should have been conducted? What can be concluded? O The Wilcoxon signed-rank for matched pairs should have been conducted. There is insufficient evidence to conclude that there is a difference in the median weight of yellow and brown M&M's. The Wilcoxon signed-rank for matched pairs should have been conducted. There is sufficient evidence to conclude that there is a difference in the median weight of yellow and brown M&M's. The Wilcoxon rank-sum for two independent samples should have been conducted. There is sufficient evidence to conclude that there is a difference in the median weight of yellow and brown M&M's. O The Wilcoxon rank-sum for two independent samples should have been conducted. There is insufficient evidence to conclude that there is a difference in the median weight of yellow and brown M&M's.
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