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Please explain how to solve the following question, I will leave good rating for

ID: 3249904 • Letter: P

Question

Please explain how to solve the following question, I will leave good rating for right answer with explanation. According to a survey of the top 10 employers in a major city in the Midwest, a worker spends an average of 413 minutes a day on the job. Suppose the standard deviation is 26.8 minutes, and the time spent is approximately a normal distribution. What are the times within which approximately 68.26 percent of all workers will fall? [394.8, 431.2] [386.2, 439.8] [372.8, 453.2] [359.4, 466.6] [332.6, 493.4]

Explanation / Answer

68.26% will fall within 1 standard deviation from mean

So, the interval is [413-26.8, 413+26.8]

= [386.2, 439.8]