Decks have become very popular items for American homeowners. Lumber yards sell many styles of decks during the summer months, but they all use the same type of nail. The question that always arises is how many nails to buy. If 800 nails are needed, how many grams of nails should be purchased? The weights (in grams) of the following 50 nails should help to answer the question. 9.63 8.73 8.98 8.88 9.25 8.79 9.42 8.69 8.93 8.27 8.82 8.66 8.90 8.31 9.15 9.41 8.56 8.82 8.58 8.43 8.05 8.56 8.55 8.88 8.29 8.79 8.51 8.85 9.34 9.21 8.38 8.51 8.41 8.58 9.21 8.27 8.76 9.26 8.59 8.71 8.51 9.20 8.24 8.57 8.85 8.69 8.85 9.08 9.40 8.36 (a) Group these data into seven classes using as class intervals (7.995, 8.245), (8.245, 8.495), and so on. (b) Construct a histogram. (c) Calculate the sample mean and sample standard deviation for either the grouped or the ungrouped data. (d) How many grams of nails would you recommend?