Your company markets a gourmet candy apple wrapped in nice tissue paper and packaged individually, with straw cushioning, into elegant, red cubical boxes. What's the largest dimension required for the boxes to accommodate the maximum diameter of the apples?We're concerned with “maximum diameter” because the apples are not spherical. They have various diameters in various directions. We measure in the direction that gives the maximum diameter (MD, in centimeters). Because all apples are at least 3 cm, for simplicity we record only the “excess” diameter, X = 10(MD – 3). Note that X is in millimeters. Here are the values of X for a random sample:(a) Show how a confidence interval for μx will yield a confidence interval for μMD. (b) Give a 95% one-sided confidence interval for the mean of MD.(c) Give a 95% one-sided confidence interval for the median of MD.(d) Neither of the intervals in parts (b) and (c)will be adequate to answer the question posed at the beginning of the problem. Why not?(e) Give a 90 % one-sided confidence interval for the proportion of apples with a maximum diameter below 3.7 cm.
Your company markets a gourmet candy apple wrapped in nice tissue paper and packaged…
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