This assignment provides practical experience in experimental design and analysis using SPSS V25. It includes multiple scenarios with tasks involving t-tests, ANOVA, normality tests, outlier identification, and effect size calculations.
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experimentaldesignand analysis and using SPSS V25
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SCENARIO 1 Task 1 1.On the basis of the t- test it is identified that the significance level is 0.000 which is 0.001 that shows the hypothesis is null hypothesis as there is no significant difference between the two variables (Mandavgade and Deshmukh, 2019). 2.The statistical analysis which is being used in Sample T- test, Independent sample T- test , test of normality, homogeneity of variance through ANOVA. 3.Mean age of male and female participants is Male - 31.33 Female – 32.18 4.No outlier 5.No applicable 6.on the basis of the test of normality it is identified that the significance level is 0.00 which means there is significant difference between the variables and thus it is alternative hypothesis and the distribution is normally met (Owan, Arop and Agunwa, 2019). 7.The degree of freedom were 30 8.The value of T was 0 9.P value was 0.000 which means there is significant difference between the varaibles. 10.Not applicable 11.Not applicable Task 2 1.The mean happiness rating was higher than the population mean . TASK 3 Experimenter effect sexage N3030
Mean1.4331.8 sd0.5047.232 z value-56.68650790.24889381 T-Test One-Sample Statistics NMeanStd. DeviationStd. Error Mean Score3040.878.1571.489 Sex301.43.504.092 Age3031.807.2321.320 One-Sample Test Test Value = 0 tdfSig. (2-tailed)Mean Difference99% Confidence Interval of the Difference LowerUpper Score27.44229.00040.86736.7644.97 Sex15.57729.0001.4331.181.69 Age24.08429.00031.80028.1635.44 T-Test Group Statistics SexNMeanStd. DeviationStd. Error Mean
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Age11732.188.5892.083 21331.315.2501.456 Indepen dent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means FSig.tdfSig. (2- tailed) Mean Differenc e Std. Error Differenc e 99% Confiden ce Interval of the Differenc e LowerU p p e r Age Equal variances assumed3.170.086.32128.751.8692.707-4.6766.413 Equal variances not assumed.34226.894.735.8692.542-4.3476.085 Tests of Normality Kolmogorov -Smirnova Shapiro- Wilk StatisticdfSig.StatisticdfSig. Score.26330.000.59830.000
a. Lilliefors Significance Correction SCENARIO 2 T-Test One-Sample Statistics NMeanStd. DeviationStd. Error Mean Start Weight3560.116.3141.067 End Weight3468.9418.8263.229 Age3540.2012.4352.102 Sex351.49.507.086 One-Sample Test Test Value = 0 tdfSig. (2-tailed)Mean Difference99% Confidence Interval of the Difference LowerUpper Start Weight56.32434.00060.11457.2063.03 End Weight21.35333.00068.94160.1277.77 Age19.12534.00040.20034.4745.93 Sex17.33334.0001.4861.251.72 sexagestart weightend weight N35353534 Mean1.4940.260.1168.94
sd0.50712.4356.31418.824 z value-66.09467460.418174513.9768767821.856141096 Group Statistics SexNMeanStd. DeviationStd. Error Mean Age11840.5612.1712.869 21739.8213.0733.171 Start Weight11860.286.6671.571 21759.946.1181.484 End Weight 11769.8821.5495.226 21768.0016.2713.946 Indepen dent Samples Test
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Levene's Test for Equality of Variances t - t e s t f o r E q u a l i t y o f M e a n s
FSig.tdfSig. (2- tailed) Mean Difference Std. Error Difference 9 5 % C o n f i d e n c e I n t e r v a l o f t h e D i f f e r e n c e
LowerU p p e r Age Equal variances assumed.021.886.17233.865.7324.267-7.9499.413 Equal variances not assumed.17132.451.865.7324.276-7.9739.437 Start Weight Equal variances assumed.143.708.15533.877.3372.167-4.0724.745 Equal variances not assumed.15632.976.877.3372.161-4.0614.734 End Weight Equal variances assumed.367.549.28732.7761.8826.549-11.45715.222 Equal variances not assumed.28729.769.7761.8826.549-11.49715.261 Regression Variables Entered/Remo veda ModelVariables EnteredVariables RemovedMethod 1Sex, Age, Start Weightb.Enter a. Dependent Variable: End Weight b. All requested variables entered. Model Summary ModelRR SquareAdjusted R SquareStd. Error of the Estimate
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1.345a.119.03118.531 a. Predictors: (Constant), Sex, Age, Start Weight ANOVAa ModelSum of SquaresdfMean SquareFSig. 1 Regression1394.3273464.7761.354.276b Residual10301.55530343.385 Total11695.88233 a. Dependent Variable: End Weight b. Predictors: (Constant), Sex, Age, Start Weight Coefficientsa ModelUnstandardized CoefficientsStandardized Coefficients tS i g . BStd. ErrorBeta 1 (Constant).93037.004.025.980 Start Weight1.008.519.3431.941.062 Age.246.270.161.912.369 Sex-1.5706.358-.042-.247.807 a. Dependent Variable: End Weight Tests of Normalitya,b, d,e,f,g,h,i,j,k,l,m,n,o
Start WeightKolmogorov-SmirnovcS h a p i r o - W i l k StatisticdfSig.StatisticdfSig. End Weight 51.2602. 55.2602. 59.2602. 61.2602. 62.3024..8704.296 63.2043..9933.843 65.2602. 68.2602. Task 1 1.On the basis of the t- test it is identified that the significance level is 0.000 which is 0.001 that shows the hypothesis is null hypothesis as there is no significant difference between the two variables (King and et.al., 2018). 2.The statistical analysis which is being used in Sample T- test, Independent sample T- test , test of normality, homogeneity of variance through ANOVA. 3.standard deviation of age of male and female participants is Male – 12.171 Female – 13.073 4 there were 5 outliers 5.they were changed to 9 is changed to 55
4 is changes to 5 8 is changed to 49 18 is changed 45 23 is changes to 25 6. NO 7. The degree of freedom was 33 and 34 8. The value of T was 36.33 9. P value was 0.000 which means there is significant difference between the varaibles. 10. 0.119 11. it is 11.9 which means it is small effect size Task 2 2.The mean weight after the weight gain program was significantly higher than befopre. TASK 3 Experimenter effect SCENARIO 3 Task 1 1.On the basis of the t- test it is identified that the significance level is 0.000 which is 0.001 that shows the hypothesis is null hypothesis as there is no significant difference between the two variables (Stamp and et.al., 2018). 2.The statistical analysis which is being used in Sample T- test, Independent sample T- test , test of normality, homogeneity of variance through ANOVA. 3.standard deviation of age of male and female participants is Male – 30 Female – 10 4 there were 5 outliers 5.. NO
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6 yes as the p value is greater than 0.01 7. The degree of freedom was 39 and 37 8. The value of T was 32.256 9. P value was 0.000 which means there is significant difference between the varaibles. 10. 0.298 11. it is 0.298 which means it is small effect size Task 2 3.The mean output for condition was significantly higher than before. TASK 3 Experimenter effect Regression Model Summary ModelRR SquareAdjusted R Square Std. Error of the Estimate Change Statistics R Square Change F Changedf1df2Sig. F Change 1.546a.298.236136.358.2984.820334.007 a. Predictors: (Constant), Age, Sex, Condition T-Test One-Sample Statistics NMeanStd. DeviationStd. Error Mean Sex401.50.506.080 Age4041.3513.4352.124 Condition401.25.439.069
Output38816.58156.05425.315 sexageconditionoutput N40404038 mean1.541.3513.4352.124 sd0.50413.4350.439156.054 z value-76.38890.1005-60.5125-0.2299 One-Sample Test Test Value = 0 tdfSig. (2-tailed)Mean Difference95% Confidence Interval of the Difference LowerUpper Sex18.73539.0001.5001.341.66 Age19.46639.00041.35037.0545.65 Condition18.02839.0001.2501.111.39 Output32.25637.000816.579765.29867.87 T-Test Group Statistics ConditionNMeanStd. DeviationStd. Error Mean Output130780.33152.37227.819 28952.5076.11126.909 Age13040.5314.4292.634 21043.8010.1193.200 Sex1301.53.507.093 2101.40.516.163
Indepen dent Samples Test Levene's Test for Equality of Variances t - t e s t f o r E q u a l i t y o f M e a n s
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FSig.tdfSig. (2- tailed) Mean Difference Std. Error Difference 9 5 % C o n f i d e n c e I n t e r v a l o f t h e D i f f e r e n c e
LowerU p p e r Output Equal variances assumed3.588.066-3.07336.004-172.16756.032-285.805-58.528 Equal variances not assumed-4.44823.484.000-172.16738.704-252.141-92.192 Age Equal variances assumed2.109.155-.66138.513-3.2674.941-13.2706.737 Equal variances not assumed-.78822.172.439-3.2674.145-11.8595.325 Sex Equal variances assumed.697.409.71738.478.133.186-.243.510 Equal variances not assumed.71015.236.488.133.188-.266.533 Oneway Test of Homogeneity of Variances Output Levene Statisticdf1df2Sig. 3.588136.066 ANOVA Output Sum of SquaresdfMean SquareFSig. Between Groups187208.5961187208.5969.441.004 Within Groups713846.6673619829.074
Total901055.26337 SCENARIO 3 PART 2 One-Sample Statistics NMeanStd. DeviationStd. Error Mean Sex201.50.513.115 Age2038.9012.2902.748 Condition202.00.000a.000 Output14980.3670.50518.843 a. t cannot be computed because the standard deviation is 0. One-Sample Test Test Value = 0 tdfSig. (2-tailed)Mean Difference95% Confidence Interval of the Difference LowerUpper Sex13.07719.0001.5001.261.74 Age14.15519.00038.90033.1544.65 Output52.02713.000980.357939.651021.07 T-Test Group Statistics SexNMeanStd. DeviationStd. Error Mean Condition1102.00.000a.000 2102.00.000a.000 Output17962.1493.53535.353 27998.5735.32213.350 Age11044.8012.7614.035
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21033.008.8692.805 a. t cannot be computed because the standard deviations of both groups are 0. Indepen dent Samples Test
L e v e n e s T e s t f o r E q u a l i t y o f V a r i a n c e s t-test for Equal ity of Mean s
FSig.tdfSig. (2-tailed)Mean Differenc e S t d . E r r o r D i f f e r e n c e 95% Confiden ce Interval of the Differenc e LowerUpper Outp ut Equal variances assumed 4.702.051-.96412.354-36.42937.790-118.76545.908 Equal variances not assumed -.9647.677.364-36.42937.790-124.21451.357 Age Equal variances assumed 1.079.3132.40118.02711.8004.9141.47522.125 Equal variances not assumed 2.40116.050.02911.8004.9141.38522.215 Tests of Normality
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ConditionKolmogorov-SmirnovaS h a p i r o - W i l k StatisticdfSig.StatisticdfSig. Output2.12614.200*.96514.807 *. This is a lower bound of the true significance. a. Lilliefors Significance Correction SCENARIO 4 Task 1 1.On the basis of the t- test it is identified that the significance level is 0.000 which is 0.001 that shows the hypothesis is null hypothesis as there is no significant difference between the two variables. 2.The statistical analysis which is being used in Sample T- test, Independent sample T- test , test of normality, homogeneity of variance through ANOVA (Dahlqvist and et.al., 2019). 3.standard deviation of age of male and female participants is Male – 12.989 Female – 9.244 4 there were no outliers 5 no
6. yes 7. The degree of freedom 42 8. The value of T was 25.815, 14.33 9. P value was 0.000 which means there is significant difference between the varaibles. 10 the value is 0.117 11. LowerUpper 1.331.64 31.5938.55 29.8434.90 21.3328.49 Task 2 4.The mean of C1 is significantly higher than C 2. TASK 3 Experimenter effect T-Test One-Sample Statistics NMeanStd. DeviationStd. Error Mean Sex431.49.506.077 Age4335.0711.3061.724 C14332.378.2231.254 C24324.9111.6391.775 agesexC1c2 N43434343 mean1.4935.0732.3724.91 sd0.50611.3068.22311.639 z value-82.0355731-0.70139749-1.29271555-1.55425724 One-Sample Test Test Value = 0
tdfSig. (2-tailed)Mean Difference95% Confidence Interval of the Difference LowerUpper Sex19.29742.0001.4881.331.64 Age20.34042.00035.07031.5938.55 C125.81542.00032.37229.8434.90 C214.03342.00024.90721.3328.49 T-Test Group Statistics SexNMeanStd. DeviationStd. Error Mean Age12236.6812.9892.769 22133.389.2442.017 C212227.1414.3843.067 22122.577.4871.634 C112235.057.4671.592 22129.578.2071.791 Indepen dent Samples Test
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Levene's Test for Equality of Variances t - t e s t f o r E q u a l i t y o f M e a n s
FSig.tdfSig. (2- tailed) Mean Difference Std. Error Difference 9 5 % C o n f i d e n c e I n t e r v a l o f t h e D i f f e r e n c e
LowerU p p e r Age Equal variances assumed1.210.278.95641.3453.3013.453-3.67210.274 Equal variances not assumed.96337.973.3413.3013.426-3.63510.237 C2 Equal variances assumed2.002.1651.29641.2024.5653.522-2.54911.679 Equal variances not assumed1.31431.914.1984.5653.475-2.51311.643 C1 Equal variances assumed.911.3452.29041.0275.4742.391.64610.303 Equal variances not assumed2.28440.194.0285.4742.396.63210.316 Regression Descriptive Statistics MeanStd. DeviationN Age35.0711.30643 C132.378.22343 C224.9111.63943 Sex1.49.50643 Correlations AgeC1C2S e x Pearson CorrelationAge1.000-.241-.166-.148
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C1-.2411.000.698-.337 C2-.166.6981.000-.198 Sex-.148-.337-.1981.000 Sig. (1-tailed) Age..060.143.172 C1.060..000.014 C2.143.000..101 Sex.172.014.101. N Age43434343 C143434343 C243434343 Sex43434343 Variables Entered/Remo veda ModelVariables EnteredVariables RemovedMethod 1Sex, C2, C1b.Enter a. Dependent Variable: Age b. All requested variables entered. Model Summary ModelRR SquareAdjusted R SquareStd. Error of the Estimate Change Statistics R Square Change F Changedf1 1.342a.117.04911.024.1171.7263 a. Predictors: (Constant), Sex, C2, C1
ANOVAa ModelSum of SquaresdfMean SquareFS i g . 1 Regression629.2653209.7551.726.178b Residual4739.52639121.526 Total5368.79142 a. Dependent Variable: Age b. Predictors: (Constant), Sex, C2, C1 Coefficientsa ModelUnstandardized CoefficientsStandardized Coefficients tS i g . BStd. ErrorBeta 1 (Constant)58.42610.5165.556.000 C1-.472.301-.343-1.566.125 C2.021.204.022.103.919 Sex-5.7873.577-.259-1.618.114 a. Dependent Variable: Age Coefficient Correlation sa ModelSexC2C 1 1CorrelationsSex1.000-.054.282 C2-.0541.000-.684 C1.282-.6841.000
Covariances Sex12.795-.040.304 C2-.040.042-.042 C1.304-.042.091 a. Dependent Variable: Age Tests of Normalitya,b ,c,d,f,g,h,i,j,k,l,m,n C1Kolmogorov-SmirnoveS h a p i r o - W i l k StatisticdfSig.StatisticdfSig. Age 22.2602. 23.2602. 28.2602. 30.3853..7503.000 31.3313..8653.281 33.1884..9674.821 34.3623..8033.122 36.3853..7503.000 37.2914..8514.230 38.2602. 39.2602.
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Test of Homogeneity of Variances Levene Statisticdf1df2Sig. C21.5321019.203 C13.1741019.015 ANOVA Sum of SquaresdfMean SquareFS i g . C2 Between Groups4333.01123188.3922.639.018 Within Groups1356.6171971.401 Total5689.62842 C1 Between Groups1536.5472366.806.974.529 Within Groups1303.5001968.605 Total2840.04742 SCENARIO 5 Task 1 1.On the basis of the t- test it is identified that the significance level is 0.000 which is 0.001 that shows the hypothesis is null hypothesis as there is no significant difference between the two variables. 2.The statistical analysis which is being used in Sample T- test, Independent sample T- test , test of normality, homogeneity of variance through ANOVA. 3. Mean age of male and female participants is Male – 24.55 Female – 24.50 4 Standard deviation of age of male and female is Male -3.776
Female -3.649 5 No 6. not applicable 7. yes 8. yes 9. 58.9 10. P value was 0.000 which means there is significant difference between the varaibles. 11 the value is LowerUpper 1.331.64 31.5938.55 29.8434.90 21.3328.49 Task 2 The mean of work satisfaction is higher in 2019 than 2009 TASK 3 Experimenter effect Test of Homogeneity of Variances Score Levene Statisticdf1df2Sig. 2.650926.025 ANOVA Score Sum of SquaresdfMean SquareFSig. Between Groups381.9331329.379.331.980
Within Groups2309.9672688.845 Total2691.90039 T-Test One-Sample Statistics NMeanStd. DeviationStd. Error Mean Sex401.50.506.080 Age4024.533.665.580 Score4077.458.3081.314 sexagescore N404040 mean1.524.5377.45 sd0.5063.6658.308 z value-76.0869565-4.221009554.50770342 One-Sample Test Test Value = 0 tdfSig. (2-tailed)Mean Difference95% Confidence Interval of the Difference LowerUpper Sex18.73539.0001.5001.341.66 Age42.31739.00024.52523.3525.70 Score58.96039.00077.45074.7980.11 T-Test
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Group Statistics SexNMeanStd. DeviationStd. Error Mean Age12024.503.649.816 22024.553.776.844 Score12076.158.1391.820 22078.758.4781.896 Indepen dent Samples Test Levene's Test for Equality of Variance s t-test for Equality of Means FSig.tdfS i g . ( 2 Mean DifferenceS t d . E r 95% Confiden ce Interval of the Differen ce
- t a i l e d ) r o r D i f f e r e n c e LowerU p p e r Age Equal variances assumed .027.870-.04338.966-.0501.174-2.4272.327 Equal variances not assumed -.04337.955.966-.0501.174-2.4272.327 Score Equal variances assumed .108.745-.98938.329-2.6002.628-7.9202.720 Equal variances not assumed -.98937.937.329-2.6002.628-7.9202.720 Tests of Normali tya,d,e,f AgeKolmogo rov- Smirnovb Shapiro- Wilk StatisticdfSig.StatisticdfSig. Score19.1753.1.00031.000 20.2602. 21.2603..9583.605
22.1675.200*.9865.962 23.2824..9384.641 25.3334..8284.163 26.2404..9534.734 27.2904..8604.260 28.2784..8524.233 30.2043..9933.843 *. This is a lower bound of the true significa nce. a. Score is constant when Age = 18. It has been omitted. b. Lilliefors Significa nce Correcti on d. Score is constant when Age = 24. It has been omitted.
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e. Score is constant when Age = 31. It has been omitted. f. Score is constant when Age = 32. It has been omitted. SCENARIO 6 Task 1 1.On the basis of the t- test it is identified that the significance level is 0.000 which is 0.001 that shows the hypothesis is null hypothesis as there is no significant difference between the two variables. 2.The statistical analysis which is being used in Sample T- test, Independent sample T- test , test of normality, homogeneity of variance through ANOVA. 3. Mean age of male and female participants is Male -39.44 Female – 44.04 4 No outlier 5. yes 6. yes 7. degree of freedom was 49 8. 32.452 9. . P value was 0.000 which means there is significant difference between the varaibles
10. the value of r square is 0.21 11 the effect size of r square is lower Task 2 The mean ofwork satisfaction is higher for the low satisfaction as compared to the high satisfaction TASK 3 Experimenter effect T-Test One-Sample Statistics NMeanStd. DeviationStd. Error Mean Sex501.52.505.071 Age5041.7410.8761.538 Group501.50.505.071 Score506.321.377.195 sexagegroupscore N50505050 mean1.5241.741.56.32 SD0.50510.8760.5051.377 z value-96-0.75947039-96.039604-31.7211329 One-Sample Test Test Value = 0
tdfSig. (2-tailed)Mean Difference99% Confidence Interval of the Difference LowerUpper Sex21.29749.0001.5201.331.71 Age27.13849.00041.74037.6245.86 Group21.00049.0001.5001.311.69 Score32.45949.0006.3205.806.84 T-Test Group Statistics GroupNMeanStd. DeviationStd. Error Mean Sex1251.52.510.102 2251.52.510.102 Age12539.4410.2922.058 22544.0411.1602.232 Score1256.481.388.278 2256.161.375.275 Indepen dent Samples Test
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Levene's Test for Equality of Variances t - t e s t f o r E q u a l i t y o f M e a n s
FSig.tdfSig. (2- tailed) Mean Difference Std. Error Difference 9 9 % C o n f i d e n c e I n t e r v a l o f t h e D i f f e r e n c e
LowerU p p e r Sex Equal variances assumed.0001.000.000481.000.000.144-.387.387 Equal variances not assumed.00048.0001.000.000.144-.387.387 Age Equal variances assumed.645.426-1.51548.136-4.6003.036-12.7443.544 Equal variances not assumed-1.51547.689.136-4.6003.036-12.7463.546 Score Equal variances assumed.024.879.81948.417.320.391-.7281.368 Equal variances not assumed.81947.996.417.320.391-.7281.368 Tests of Normality GroupKolmogorov-SmirnovaS h a p i r o - W i l k StatisticdfSig.StatisticdfSig. Score1.20525.008.88325.008 2.17425.050.94925.240 a. Lilliefors Significance Correction
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Test of Homogeneity of Variances Score Levene Statisticdf1df2Sig. .024148.879 ANOVA Score Sum of SquaresdfMean SquareFSig. Between Groups1.28011.280.671.417 Within Groups91.600481.908 Total92.88049 Regression Model Summary ModelRR SquareAdjusted R SquareStd. Error of the Estimate Change Statistics R Square ChangeF Changedf1df2 1.146a.021-.0431.406.021.3323 a. Predictors: (Constant), Sex, Group, Age REFERENCES Books and journals Appendix Extreme Valuesa,b,c,d,e,f ,g,h,i,j,k,l
AgeCase NumberSexV a l u e Score 25Highest12242 Lowest12922 27Highest112244 Lowest116238 29Highest14249 Lowest126139 30Highest19150 Lowest111239 31Highest127245 Lowest119239 33Highest16241 Lowest121140 35Highest13144 Lowest130236 42Highest18248 Lowest125144 a. Score is constant when Age = 19. It has been omitted. b. Score is constant when Age = 21. It has been omitted. c. Score is constant when Age = 22. It has been omitted.
d. Score is constant when Age = 24. It has been omitted. e. The requested number of extreme values exceeds the number of data points. A smaller number of extremes is displayed. f. Score is constant when Age = 28. It has been omitted. g. Score is constant when Age = 32. It has been omitted. h. Score is constant when Age = 38. It has been omitted.
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i. Score is constant when Age = 39. It has been omitted. j. Score is constant when Age = 40. It has been omitted. k. Score is constant when Age = 41. It has been omitted. l. Score is constant when Age = 52. It has been omitted. Stem-and-Leaf Plots Score Stem-and-Leaf Plot for Age= 25 FrequencyStem & Leaf 2.000 . 04 Stem width:100 Each leaf:1 case(s)
Score Stem-and-Leaf Plot for Age= 27 FrequencyStem & Leaf 1.003 . 8 1.004 . 4 Stem width:10 Each leaf:1 case(s) Score Stem-and-Leaf Plot for Age= 29 FrequencyStem & Leaf 1.003 . 9 2.004 . 09 Stem width:10 Each leaf:1 case(s)
Explore Case Processing Summary Cases ValidMissingTotal NPercentNPercentNPercent Score30100.0%00.0%30100.0% Descriptives
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