Question

Home Depot sells 50-pound bags of Scott’s Turf Builder fertilizer in its 2,200 retail stores in the United States. The numbers of bags of the fertilizer sold at a certain Home Depot store for a random sample of days are provided below: 65, 55, 96, 39, 74, 55, 49, 116, 63, 81, 55, 57, 39, 44, 36, 80 Answer the questions below using this data. NOTE: Be certain to check your data entry. You will lose a considerable number of points if your data values are not correct!!!

a. Mean: 62.75 (report your answer to 2 decimal places, using conventional rounding rules)

b. Median: 56 (report your answer to 2 decimal places, using conventional rounding rules)

c. Mode: 55 (report your answer to 2 decimal places, using conventional rounding rules)

d. Standard deviation: 21.36 (report your answer to 2 decimal places, using conventional rounding rules)

e. Range: 80 (report your answer to 2 decimal places, using conventional rounding rules)

f. The 20th percentile: 41 (report your answer to 2 decimal places, using conventional rounding rules)

g. The interquartile range: 33.5 (report your answer to 2 decimal places, using conventional rounding rules)

h. The z-score for a day on which 80 bags of Scott’s Turf Builder fertilizer are sold: 78.5 (report your answer to 2 decimal places, using conventional rounding rules)

i. Construct an interval which includes about 95% of the observations in this data set, using the Empirical Rule: The interval is from bags (lower value) up to bags (upper value). (report your answers to 2 decimal places, using conventional rounding rules) j. Use Pearson’s method to calculate the coefficient of skewness for these data.

Answer 1