Question

Sex	n	Mean	Std. dev.
female	61	31.89	4.72
male	39	6.02	0.50

1. Use your rounded summary statistics for females from part 4(g) to calculate the interval corresponding to one, two, and three standard deviations about the mean spider length. Type your work showing how you obtained these intervals. Round the endpoints of the final intervals correctly to whole numbers and clearly label and list these three intervals in your document as shown below:

68% interval (lower value, upper value)

95% interval (lower value, upper value)

99.7% interval (lower value, upper value)

Answer 1

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Lower and upper values are calculated by Mean +/- Z*Stdev, where Z = number of standard deviations

68% interval (lower value, upper value) - 1 dev from mean = 31.89 +/- 1*4.72 = 27 to 37 ( rounded off to nearest whole number)

95% interval (lower value, upper value) - 2 dev from mean = 31.89 +/- 2*4.72 = 22 to 41

99.7% interval (lower value, upper value) - 3 dev from mean = 31.89 +/- 3*4.72 = 18 to 46