Math averagestudent01 12.3student02 14.8student03 15.3student04 9.5student05 8.7student06 6.5student07 17.3student08 11.4student09 11.2student10 10.1student11 10.6student12 11.2student13 14.8student14 8.7student15 9.6student16 9.9student17 4.2student18 7.3student19 12.5student20 14.2student21 16.3student22 11.1student23 17.8student24 12.2student25 9.7student26 10.3student27 10student28 9student29 7student30 2.5student31 16.7student32 11.8student33 12.5

XLSTAT 2010.6.01 - One-sample t-test and z-test - on 09/12/2010 at 17:08:29Data: Workbook = demo-t-test.xls / Sheet = Sheet1 / Range = Sheet1!$B:$B / 33 rows and 1 columnTheoretical mean: 11,5Significance level (%): 5

Summary statistics:

Variable ObservationsObs. with missing dataObs. without missing dataMinimumMath average 33 0 33 2.500

One-sample z-test / Lower-tailed test:

95% confidence interval on the mean:] -Inf ; 11.279 [

Difference -0.379z (Observed value) -3.956z (Critical value) -1.645p-value (one-tailed) < 0,0001alpha 0.05

Test interpretation:H0: The difference between the means is equal to 0.Ha: The difference between the means is lower than 0.As the computed p-value is lower than the significance level alpha=0,05, one should reject the null hypothesis H0, and accept the alternative hypothesis Ha.The risk to reject the null hypothesis H0 while it is true is lower than 0,01%.

XLSTAT 2010.6.01 - One-sample t-test and z-test - on 09/12/2010 at 17:08:29Data: Workbook = demo-t-test.xls / Sheet = Sheet1 / Range = Sheet1!$B:$B / 33 rows and 1 column

Maximum Mean Std. deviation17.800 11.121 3.556

As the computed p-value is lower than the significance level alpha=0,05, one should reject the null hypothesis H0, and accept the alternative hypothesis Ha.The risk to reject the null hypothesis H0 while it is true is lower than 0,01%.

XLSTAT 2010.6.01 - One-sample t-test and z-test - on 09/12/2010 at 16:59:22Data: Workbook = demo-t-test.xls / Sheet = Sheet1 / Range = Sheet1!$B:$B / 33 rows and 1 columnTheoretical mean: 11,5Significance level (%): 5

Summary statistics:

Variable ObservationsObs. with missing dataObs. without missing dataMinimumMath average 33 0 33 2.500

One-sample t-test / Lower-tailed test:

95% confidence interval on the mean:] -Inf ; 12.170 [

Difference -0.379t (Observed value) -0.612t (Critical value) -1.694DF 32p-value (one-tailed) 0.272alpha 0.05

Test interpretation:H0: The difference between the means is equal to 0.Ha: The difference between the means is lower than 0.As the computed p-value is greater than the significance level alpha=0,05, one cannot reject the null hypothesis H0.The risk to reject the null hypothesis H0 while it is true is 27,25%.

XLSTAT 2010.6.01 - One-sample t-test and z-test - on 09/12/2010 at 16:59:22Data: Workbook = demo-t-test.xls / Sheet = Sheet1 / Range = Sheet1!$B:$B / 33 rows and 1 column

Maximum Mean Std. deviation17.800 11.121 3.556

As the computed p-value is greater than the significance level alpha=0,05, one cannot reject the null hypothesis H0.

XLSTAT 2010.6.01 - Descriptive statistics - on 09/12/2010 at 13:24:05Quantitative data: Workbook = Book1 / Sheet = Sheet1 / Range = Sheet1!$B:$B / 33 rows and 1 column

Descriptive statistics (Quantitative data):

Statistic Math semester averageNo. of observations 33Minimum 2.500Maximum 17.8001st Quartile 9.500Median 11.1003rd Quartile 12.500Mean 11.121Variance (n-1) 12.648Standard deviation (n-1) 3.556

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Quantitative data: Workbook = Book1 / Sheet = Sheet1 / Range = Sheet1!$B:$B / 33 rows and 1 column

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Sheet1t and z test (1 sample)1t and z test (1 sample)Desc

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