Question

Body temperatures of healthy humans are roughly normal. If 10 percent of people have temperatures above 37.333°C and if 20 percent have temperatures below 36.781°C, what is the mean of this distribution? 37.149 degrees Celsius 37.057 degrees Celsius 36.965 degrees Celsius 37.000 degrees Celsius The mean cannot be calculated from the given information.

          Body temperatures of healthy humans are roughly normal. If 10 percent of people have temperatures above 37.333°C and if 20 percent have temperatures below 36.781°C, what is the mean of this distribution?
37.149 degrees Celsius
37.057 degrees Celsius
36.965 degrees Celsius
37.000 degrees Celsius
The mean cannot be calculated from the given information.

Show more…

Body temperatures of healthy humans are roughly normal. If 10 percent of people have temperatures above 37.333°C and if 20 percent have temperatures below 36.781°C, what is the mean of this distribution?
37.149 degrees Celsius
37.057 degrees Celsius
36.965 degrees Celsius
37.000 degrees Celsius
The mean cannot be calculated from the given information.

Added by Kevin R.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert David Nguyen

01/28/2022

Step 1

For the temperature above 37.333°C: Z = (37.333 - mean) / standard deviation = 1.28 For the temperature below 36.781°C: Z = (36.781 - mean) / standard deviation = -1.84 Show more…

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Transcript

00:01 Hi, i'm david and i'm here to help you answer your question.

00:04 Now let me pick up your question here.

00:07 In this question we would you discuss about the normal distribution.

00:12 Here if we have the x followed by the normal with the mean and standard deviation and then if we turn the x we minus the mean of a standard deviation, we get a standard normal.

00:25 Here we have the body temperature will be followed by the normal with unknown meaning unknown standard deviation and then only information we know that 10 % of the people have the temperature above.

00:42 So probably the x above the 37 .333, it will equal to the 10%.

00:51 So from here we want to convert the x into the z.

00:55 By using the formula here.

00:57 So get the z and then we have to turn that 37 .3333.

01:03 We minus the mean of our standard deviation.

01:07 It equals 0 .1.

01:09 Now for the 0 .1 i need to bring up the z table.

01:13 So let me copy the z table here.

01:16 Let me put the table on the right here for you.

01:20 Now we need to look for the value of the 0 .1 and we see it corresponds to the closest one will be here when the z score equal to minus 1 .28 now because of the symmetry we can put z greater than 1 .28 and from here we see this quantity here it must equal to this quantity and it tells us that that 37 .333 minus mean over the standard deviation it will equal to 1 .28...

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