Please be neat and clear Please be neat and clear Please be neat and clear Too T
ID: 3316398 • Letter: P
Question
Please be neat and clear
Please be neat and clear
Please be neat and clear
Too Thin Too OK Thick Total Machine 1 Machine 2 32 Machine 3 Total 13 101 200 80 16 130 8 240 67 381 52 500 Samples were taken of the output of three different machines making certain pins, and a Chi-square test was run. The value of the test statistic was calculated as 33.12 (a) What is the appropriate reference distribution? (b) What exactly were the null and alternative hypotheses being tested? (c) Under the null hypothesis, what is the expected value of the ('Machine 3, "OK") ceil?
Explanation / Answer
(a) The appropriate reference distribution is the chi-square distribution.
(b) Ho : There is no difference in the output of the three machines
Ha : The three machines have different outputs
(c) Expected value for machine 3 and "OK" output = (381*130) / 500 = 99.06