Heights of family members data set

62	68	77	78	66	79	78	66	65
72	73	65	67	67	62	69	67	65
62	63	71	66	69	67	63	69	67
62	67	65	68	61	67	71	62	60

1. Use the "Statistics" function of your calculator to find the sample mean and sample standard deviation for the data. (Round to tenths.) Use these statistics (sample mean and sample standard deviation) as point estimates for the population parameters (population mean and population standard deviation) when calculating the standard (z) scores. Use the Normal Probability Distribution table to find the answers to the following questions. Be sure to show ALL of your work! 2. What percent of family and/or friends are taller than 6 feet (72 inches)? 3. What percent of family and/or friends are shorter than 5 feet 5 inches (65 inches)? 4. What percent of family and/or friend heights are between 65 inches and 72 inches? 5. What heights does the top 95% of data lie between? 6. The following question is based on your family pants! Because of the high cost of leather, the company has decided they cannot profitably make leather pants in all sizes. These are the heights of the shortest and tallest females who can purchase leather pants from this company: The bottom 8% to the upper 6%. Which heights correspond with these percentages? Be sure to show ALL of your work!