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A random sample of university students was obtained, and the number of tweets in a typical month w as recorded Index,i Number of tweets 19 30 6 a. Compute f(i-0.375) (n+0.25) b. Find the z-score corresponding to fi from Table V c. Plot the observed values on the horizontal axis and the corresponding expected z-score on the vertical axis Using Excel (data-> data analysis->regression) to obtain the linear correlation coefficient between observed values and expected z-score d. e. Determine the critical value in Table VI to access the normality of the data.

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Answer #1

We calculate the fi using the given formulae ie fi = (i-0.375)/(n+0.25).

Then we calculate the mean and std Dev of fi to calculate the z-score. Then we calculate correlation coefficient between No of tweets and Z Score using the correl function in excel. The negative value indicates inverse relationship between the two variables ie as one increases, another decreases and vice versa.

Index No of Tweets fi 1 2 z Score 0.500 0.500 0.136 0.120 0.052 0.057 0.228 0.214 1.28 1.28 0.43 -0.50 0.82 -0.80 19 4 30 Mean Std Dev Correlation 0.79

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