State the null alternative hypotheses in English Write the

State the null & alternative hypotheses in English

Write the corresponding statistic in the proper format

Determine if there is statistical significance and what to do depending on whether or not there is significance (HINT: accept/reject?)

Interpret the findings in English, explaining to a naïve person what the results are (you will need to include specific values to explain if, for example, there is a statistical difference, which group scored better or what the nature of the relationship is).

Descriptives ScoRES ONS TESTOF PROGRAMmiNG ABILITY 95% Confidence Interval for Mean Std. Deviation Std. Error Lower Bound Upper Bound 4.1175 31.5594 39.9244 31.6125 Mean 15 28.4667 14 24.8571 11.60807 3.10239 11 31.0909 13.14880 3.96451 40 27.925011.53009 1.82307 22.8158 18.1548 22.2574 24.2375 Up to l yr 10.20411 2.6346922.815 YEARSOF 2 years EXPERVENCE3 or more Total Sum of Squares df Mean Square Between Groups Within Groups Total 246.418 4938.357 5184.775 2 123.209 923 37 39 042 133.469 Multiple Comparisons Dependent Variable: LSD Mean Difference (- D Yrs of Comp Up to 1 yr 2 years (0) Yrs of Comp J) Std. Error Sig 3.609524.29319 2 years 3 or more Up to 1 y 3 or more Up to 1 yr 2 years 406 .571 .406 -6.23377 | 4.65479 | .o31 .571 -2.62424 4.58601 -3.60952 4.29319 -6.23377 4.65479 3 2.62424 4.58601 6.23377 4.65479 3 or more 03

Solution

H0 : Test scores of programming ability doesnot depend upon no. of years of experience!
ag.H1 : Test scores depend on no. of years of experience!

test statistic = mean square between groups / mean square within groups

p-value = 0.042 which is less than the usual level of significance = 0.05..

so, we reject the null hypothesis! there is a relation between no. of years of experience and test scores of programming ability!

for the, multiple comparison test :
H0 : upto 1 year experince group is similar to 2 years experience group based on test scores on programming!
ag. H1 : not similar!

and so on!

from the result we can see that,
p-value for relation between Upto 1 year group and 2 year group is 0.406 which is > 0.05 and hence is not significant!

p-value for relation between Upto 1 year group and 3 or more year group is 0.571 > 0.05 and hence it is not significant!

p-value for relation between Upto 3 or more year group and 2 year group is 0.031 < 0.05 and hence it is significant..
i.e, the test scores for 2 year and 3 or more year experince groups are different significantly!

if you look at the mean scores, difference between 1 year group and 3 or more year group is -2.624 and 1 year group and 2 year group is 3.609 and the differecne between 2 year group and 3 or more year group is 6.233(very high)..so, it is evident that 3 or more year experienced guys scored the most and 2 year experienced guys scored the least!...upto 1 year group stands in between these 2 groups in terms of scores on programming ability!