Question: The Brushtail Possum's head length is normally distributed with mean 92.6 mm (4in) and standard deviation 3.6 mm. Find the following relating to this distribution.

 The Brushtail Possum's head length is normally distributed with mean 92.6

mm (4in) and standard deviation 3.6 mm. Find the following relating to

The Brushtail Possum's head length is normally distributed with mean 92.6 mm (4in) and standard deviation 3.6 mm. Find the following relating to this distribution. For nding percentages associated with the normal distribution use the empirical rule. A) What would be the zscore of a head length of 92.6mm? B) What value would have a z-score of 2? Choose... 7.6 C) What percentile is the value having a zscore of 2? 3:: D) How many standard deviations below the mean is a head length of 85.4mm? 98-8 5 E) What percentile is a head length of 85.4mm? 94-5 -1.7 F) Determine the ziscore for a head length of 85 mm. Round to the nearest tenth. YES no 9) In general if a value is more than 2 standard deviations from the mean it is considered unusual. Would a 2 head length of 85 be considered unusual? 0 99.8 h) In general ifa value is more than 2 standard deviations from the mean it is considered unusual. Would a 25 head length of 99mm be considered unusual? L7 2.1 95 -2.1 7.2

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