# Question: In the paper Cloudiness Note on a Novel Case of

In the paper "Cloudiness: Note on a Novel Case of Frequency" (Proceedings of the Royal Society of London, Vol. 62, pp. 287-290), K. Pearson examined data on daily degree of cloudiness, on a scale of 0 to 10, at Breslau (Wroclaw), Poland, during the decade 1876-1885. A frequency distribution of the data is presented in the following table.
Consider the days in the decade in question a population of interest, and let the variable under consideration be degree of cloudiness in Breslau.
a. Determine the population mean, μ, that is, the mean degree of cloudiness. (Hint: Multiply each degree of cloudiness in the table by its frequency, sum the products, and then divide by the total number of days.)
b. Suppose we take a simple random sample of size 10 from the population with the intention of finding a 95% confidence interval for the mean degree of cloudiness (although we actually know that mean). Would use of the one-mean t-interval procedure be appropriate? Explain your answer.
c. Simulate 150 degrees-of-cloudiness observations.
d. Use your data from part (c) and the one-mean t-interval procedure to find a 95% confidence interval for the mean degree of cloudiness.
e. Does the population mean, μ, lie in the confidence interval that you found in part (d)?