In the paper “Cloudiness: Note on a Novel Case of Frequency” Poland, during the decade. The frequency distribution of the data is presented in the following table. From the table, we find that the mean degree of cloudiness is 6.83 with a standard deviation of 4.28. Degree Frequency Degree Frequency

a. Consider simple random samples of 100 days during the decade in question. Approximately what percentage of such samples have a mean degree of cloudiness exceeding 7.5?

b. Would it be reasonable to use a normal distribution to obtain the percentage required in part (a) for samples of size 5?Explain your answer.

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Degree Frequency 0 751 1 179 2 107 3 69 4 5 46 9 Degree 6 7 8 9 10 Frequency 21 71 194 117 2089