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Melanie C.

Intro Stats / AP Statistics

5 days, 10 hours ago

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.6 days and a standard deviation of 1.8 days. What is the 85th percentile for recovery times?

Answer

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.6 days and a standard deviation of 1.8 days. What is the 85th percentile for recovery times?

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Video Transcript

into this lesson in this lesson, we're looking at the recovery time of set in santa card called syria, that has a mean 5.6 days And the standard deviation of 1.8 days. So you're looking at the 85th%ile. So we are looking at a score That is so .85. So this is a call to Okay. Mhm. The recovery the days of recovery For the 85th% out minus the mean. All over the standard deviation. Okay, so let's look for the z value first call up zero 85 So their .85 is here. Mhm. Does 0.85 and that is 1.04, so we have one here then. Uh huh. Uh huh. Yeah, So it goes this way, so 1.04. All right. Mhm. Mhm. So here a score of 0.85 ft give us one 04 That is he called? Two x minus a mi 5.6. All of a Standard Division .8. So if you multiply through by 1.8, we'll have Yeah, Yeah. X -5.6. Mhm. I mean, So here you have 1.8 72, that is equal to X -5.6. So the master would add 5.6 to both sides so that this and that goes away and you have 5.6 plus one point 872. So that is £7 472 So therefore the 85th Passion toe. Yeah. Yes. 7.5 days. Okay, so thanks for the time. This is the end of the lesson.

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