Multiple choice: Select the best answer for Exercises 69 to 74. A different species of

Chapter 2, Problem 73

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QUESTION:

Select the best answer

A different species of cockroach has weights that follow a Normal distribution with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams. Based on this report, what is the approximate standard deviation of weights for this species of cockroaches?

(a) 4.6

(b) 5.0

(c) 6.2

(d) 14.0

(e) Cannot determine without more information.

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QUESTION:

Select the best answer

A different species of cockroach has weights that follow a Normal distribution with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams. Based on this report, what is the approximate standard deviation of weights for this species of cockroaches?

(a) 4.6

(b) 5.0

(c) 6.2

(d) 14.0

(e) Cannot determine without more information.

ANSWER:

Step 1 of 2

Given,

The mean, \(\mu=50\mathrm{\ grams}\)

Percentage of cockroaches weighing more than 55 grams = 14%.

We have to determine the standard deviation of weights for this species of cockroaches.

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