Crash tests on new cars (cont’d). Refer to Exercise 2.149.

Chapter , Problem 150SE

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QUESTION:

Problem 150SE

Crash tests on new cars (cont’d). Refer to Exercise 2.149. One quantitative variable recorded by the NHTSA is driver’s severity of head injury (measured on a scale from 0 to 1,500). The mean and standard deviation for the 98 driver head injury ratings are displayed in the Minitab printout below.

a. Give a practical interpretation of the mean.

b. Use the mean and standard deviation to make a statement about where most of the head-injury ratings fall.

c. Find the z-score for a driver head-injury rating of 408. Interpret the result.

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QUESTION:

Problem 150SE

Crash tests on new cars (cont’d). Refer to Exercise 2.149. One quantitative variable recorded by the NHTSA is driver’s severity of head injury (measured on a scale from 0 to 1,500). The mean and standard deviation for the 98 driver head injury ratings are displayed in the Minitab printout below.

a. Give a practical interpretation of the mean.

b. Use the mean and standard deviation to make a statement about where most of the head-injury ratings fall.

c. Find the z-score for a driver head-injury rating of 408. Interpret the result.

ANSWER:

Problem 150SE

Crash tests on new cars (cont’d). Refer to Exercise 2.149. One quantitative variable recorded by the NHTSA is driver’s severity of head injury (measured on a scale from 0 to 1,500). The mean and standard deviation for the 98 driver head injury ratings are displayed in the Minitab printout below.

a. Give a practical interpretation of the mean.

b. Use the mean and standard deviation to make a statement about where most of the head-injury ratings fall.

c. Find the z-score for a driver head-injury rating of 408. Interpret the result.

                                                       Step-by-step solution

Step 1 of 4

a)

Interpretation of the mean:

The mean indicates the central position of the data. Here, from the given MINITAB output, the mean 603.7 indicates the average driver’s severity of head injury in collision.

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