Question

Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees....

Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees. 0° and standard deviation of 1.00 °C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to Upper P 91. P91​, the 91 st percentile. This is the temperature reading separating the bottom 91 % from the top 9 %.

A. graph representing the Upper P 91

B. The temperature for Upper P 91

P91 is approximately ________°.

​(Round to two decimal places as​ needed.)

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Answer #1

Let's use excel to draw a graph.

Click on Graph >>> Probability Distribution Plot...>>>Select forth graph >>>OK

Look the following image:

Probability Distribution Plots Vary Two View View Single Parameters Distributions Probability Help OK Cancel

So we get the following window:

Fill the required information:

Look the following image:

Probability Distribution Plot - View Probability Distribution Shaded Area Distribution: Normal Mean: 0.0 Standard deviation: 1.0 Select Help OK Cancel

Then click on OK so we get the following image:

Probability Distribution Plot - View Probability Distribution Shaded Area Define Shaded Area By Probability c x value Right Tail Both Tails Middle P1 P2 0.09 Help OK Cancel

Select the required options and graph like above image and then click on OK.

So we get the following output:

t Distribution Plot Distribution Plot Normal, Mean-0, StDev-1 0.4 0.3 5 0.2 C) 0.1 0.09 0.0 (D 1.341

The above graph is the required graph

and the required temperature is 1.34 oC .

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