Questions: A study finds that the carapace length of an adult spider is normally distributed with a mean of 14.51 mm and a standard deviation of 1.28 mm . Let x denote carapace length for the adult spider. c. Identify and sketch the distribution of z . Choose the correct graph below. A. B. C.

A study finds that the carapace length of an adult spider is normally distributed with a mean of 14.51 mm and a standard deviation of 1.28 mm . Let x denote carapace length for the adult spider.
c. Identify and sketch the distribution of z . Choose the correct graph below.
A. B. C.
Transcript text: A study finds that the carapace length of an adult spider is normally distributed with a mean of 14.51 mm and a standard deviation of 1.28 mm . Let x denote carapace length for the adult spider. c. Identify and sketch the distribution of z . Choose the correct graph below. A. B. C.
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Solution

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Solution Steps

Step 1: Understand the distribution of z

The distribution of z, also known as the standard normal distribution, always has a mean of 0 and a standard deviation of 1.

Step 2: Analyze the given graphs

Graph A has a mean around 1, so it's not a standard normal distribution. Graph B has a mean around 14.51. Graph C has a mean of 0 and appears to have a standard deviation of 1.

Final Answer

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