Question

In: Statistics and Probability

The average time spent sleeping per night for a group of medical residents is 6.1 hours...

The average time spent sleeping per night for a group of medical residents is 6.1 hours with a standard deviation of 1.0 hour. Between what two values do the middle 50% of the sleep times fall?

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Expert Solution

According to the z score table middle 50% of the values lie between 0.2483 and 0.7486, and their respective z scores are - 0.68 and 0.67

1st value,

X - 6.1/1 = - 0.68

X - 6.1 = - 0.68

X = 5.42

2nd value,

X - 6.1/1 = 0.67

X - 6.1 = 0.67

X = 6.77

So, between (5.42 and 6.77) 50% of the sleep time falls

orchestra answered 1 year ago
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