5.3 Data Analytics for the Business of Life 5.3 Matched Pairs t-Retail Display P

Question

5.3 Data Analytics for the Business of Life 5.3 Matched Pairs t-Retail Display Placement-Exercise- Key 2. A major non-profit believes that minor contributors have increased their mean levels of giving over the past two three-year periods. The records of eight randomly selected minor donors show the following contributions (in dollars) for the two consecutive periods: Donor 170 250 129 147 326 248 369 350 135 218 181 138 259 320 211 184 Test the non-profit's belief at the 5% significance level. i. Hypotheses (using d-B-A) ii. Test Statistie ili. Decision Rule iv. Decision Technical Statement: Report Friendly Statement: Version 2.1- Cooper

Explanation / Answer

using paired t test ,

To test hypothesis,

H0 : mud =0 Vs H1 : mud is not equal to 0

test statistic = t = xbar /(sigma/sqrt(n))

t = 102.13 /(104.80/sqrt(8))

t = 2.7565

decision rule : pvalue =0.02 < alpha = 0.05

We reject H0.

The average difference between both A and B is significant.

By using ANOVA,

One-way ANOVA: response1 versus factor1

Method

Null hypothesis All means are equal
Alternative hypothesis At least one mean is different
Significance level ? = 0.05

Factor Information

Factor Levels Values
factor1 2 1, 2

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
f1 1 41718 41718 10.82 0.005
Error 14 53958 3854
Total 15 95676

Decision : pvalue = 0.005 < alpha = 0.05

Reject H0 at 5% los.

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