BPS conducted a study on early childhood education studies. First, students are

Question

BPS conducted a study on early childhood education studies. First, students are asked to tell a story they have read (Story 1). Second, students are asked to tell a fairy tale they have read with illustrations with pictures (Story 2). Here are the scores for stroy 1 and story 2 where each story is followed by 5 students Child Story 1 0.77 0.49 0.66 0.28 0.38 0.40 0.72 0.00 0.36 055 Differenc0.370.23 0.66 -0.08 -0.17 The hypothesis that can be used is H0: Story 1 and story 2 have the same distribution function H1: Story 1 and story 2 have unequal distribution functions Test the wilcoxon signed rank to determine whether to reject or accept HO! (Use Minitab software)

Explanation / Answer

We will use minitab software to get the result here test for the distribution is same or not we can also rearrage the problem in such a way that

H0: median(difference)=0

vs

H1: median(difference)is not zero

so this boils sown to one sample wilcoxon test

we will decide this test based on p-value

Wilcoxon Signed Rank Test: diff

Test of median = 0.000000 versus median not = 0.000000

N for Wilcoxon Estimated
N Test Statistic P Median
diff 5 5 9.0 0.787 0.1000

here p-value=0.787>0.05 so we can accept H0: and claim that the median of this two story is same hence the distribution of two story is having same location

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