Webster s Widgets collects random samples of 100 widgets from their widget factory several times per shift and records the mean

Question

Webster s Widgets collects random samples of 100 widgets from their widget factory several times per shift and records the mean weight of the sample in grams The means of 400 samples are summarized in the following frequency table Range 6 87 2 Yes No 7 2 7 6 7 6 8 0 8 0 8 4 8 4 8 8 8 8 9 2 9 2 9 6 Frequency 21 73 103 108 76 15 4 The five number summary of the 400 sample means was found to be min 6 816 Q 7 617 median 8 0075 Q3 8 385 max 9 569 The three smallest values were 6 816 6 825 and 6 833 The three largest values were 9 370 9 514 and 9 569 The mean of the 400 sample means was 7 9877 with a standard deviation of 0 5360 a Sketch a histogram based on the frequency table Does it appear to be roughly symmetric and mound shaped b Compute the interquartile range Determine if there are any outliers in the data Recall that an outlier is a value above Q3 by more than 1 5 times the interquartile range or below Q by more than 1 5 times the interquartile range The rule described above identifies one outlier s c Compute the Pearson index Round your answer to four decimal places Does this indicate that the data is skewed

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