The 41 students enrolled students in MEE 390 are asked to rate the quality of jo

Question

The 41 students enrolled students in MEE 390 are asked to rate the quality of jokes from the instructor. The range of options are from 5 (Laughed so hard I cried) to 3 (Meh) to 1 (My brain began to atrophy). The results are given in the table below. From this data, sketch a numerically accurate, three bin histogram for funny, not funny, and indifferent. From this sample set, estimate, with 90%, 95% and 99% confidence, the range of scores of the next registered student for MEE 390 will give. (Hint: The histogram activity is morc than simplc busy-work; It should aid and simply your calculations.) Resp Num. Score Num. Score 21 2 23 24 25 26 27 2 28 29 30 3 31 2 32 10 12 13 14 15 16 17 18 19 20 34 2 35 36 37 3 38 1 39 40 41

Explanation / Answer

Using Excel we can graph Histogram :

Frequency distribution table for given data values :

Histrogram is :

mean = 2.39 , standard deviation = 1.2625

We have to find confidence interval for givn data.

We can use Excel function as =confidence.T( alpha, standard deviation , size )

This gives us margin of error .

For 90% is it confidence.T( 0.1,1.2625,14) = 0.332004

For 95% is it confidence.T( 0.05,1.2625,14) = 0.398494

For 99% is it confidence.T( 0.01,1.2625,14) = 0.53327

Using above excel function we got values as follows :

Lower limit = mean - margin of error

Upper limit = mean + margin of error

points frequency 1 12 2 13 3 7 4 6 5 3

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