When selecting a computer game an important aspect to consider is the time requi

Question

When selecting a computer game an important aspect to consider is the time required to learn how to play it. The marketing director of Nintendys Inc, hires you as a statistician to design a test based on average learning time. He is pretty sure games A, B and C require the same learning time but wants statistical support to his belief. As a statistician you design a Fisher test and survey 4 customers on game learning time for each of the 3 games. The sample mean learning time for each game are below; The MSE value and degrees of freedom are 3.1 and 9 respectively. Allow for 95% confidence.

Games                            A                             B C

Sample means              6.8                          9                           5.8

d. What is the test statistic for means B & C?  (allow for a difference in values of + or - 0.1)

e. What is your decision (with respect to the null hypotheses) after performing the test for means A & B, A & C and B & C respectively?

f. What is your conclusion after performing these tests with regards to which is different and which is the same?

Explanation / Answer

d) test stat for mean B and C= |B-C|/(2*MSE/n)1/2=2.570

e) we do now reject mean of A &B and A&C , we can reject that mean of B and C

f) B&C different. A &C and A &B are same.

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