THIS IS AN OUTPUT TABLE FOR THE NUMBER-CORRECT SCORES ON A STANDARDIZED READING

Question

THIS IS AN OUTPUT TABLE FOR THE NUMBER-CORRECT SCORES ON A STANDARDIZED READING TEST FOR A RANDOM SAMPLE OF 6TH GRADERS FROM WASHINGTON ELEM SCHOOL. THE MEAN FOR THE SCHOOL DISCTRICT (TEST VALUE) IS M = 32.00. IN SPSS, WE CONDUCTED A T TEST TO DETERMINE WHETHER THE KNOWN VALUE OF 32.00 FOR THE DISTRICT IS SIGNIFICNTLY DIFFERENT FROM THE MEAN SCORE FOR WASHINGTON ELEM SCHOOL. THE SCORES ENTERED IN THE INPUT WERE: 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 40:

From the table above:

c) What is the associated probability?

d) Is the difference between the district mean of 32.00 and the mean at Washington Elem School statistically significant at the 0.05 level?

e) Write a statement of the results of the significance test:

T-Test [DataSet1] tsclientlcUsersKellysDesktopLauren oDu chapter 12.sav One-Sample Statistics Std. Error Mean Mean Std. Deviation Standardized scores on reading 2327500 4.02549 1.16206 One-Sample Test Test Value= 32.00 95% Confidence Interval of the Difference Mean df Sig. (2-tailed Difference LowerUpper T- Upper Standardized scores on reading 645 532 75000 1.8077 3.3077

Explanation / Answer

c) The asscoiated probability = 0.532 since test is two tailed

d) Here P -value 0.532 > alpha 0.05, we accept H0.

There is no siginificance differrence between the the district mean of 32 and mean at washington elem school.

e) We believe that there is not siginificance differrence between the the district mean of 32 and mean at washington elem school at 95% confidence.

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