Question

Jina is a civil engineer working for the city of Indianapolis on a project to widen some of its downtown streets. One aspect that she has to consider is that, during the hot summer months, the noonday temperature of the asphalt on these streets can get extremely hot. For the project, she models these temperatures of the asphalt using a normal distribution with a mean of 108°F and a standard deviation of 16°F.

Use this table or the ALEKS calculator to find the percentage of noonday temperatures of the asphalt between 104°F and 132°F according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%.)

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Answer 1

To find the percentage of noonday temperatures between 104°F and 132°F using a normal distribution, you can calculate the z-scores for these values and then find the area under the normal curve between those z-scores.First, find the z-scores:

Z104=104−10816Z104​=16104−108​

Z132=132−10816Z132​=16132−108​Then, use a standard normal distribution table or a calculator to find the area between these z-scores. Subtract the smaller area from the larger one.Finally, express your answer as a percentage.Perform these calculations, and let me know if you need further assistance.

Explanation: