Assume that the readings on the thermometers are normally distributed with a mean of 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 P95, the 95th percentile. This is the temperature reading separating the bottom 95% from the top 5%. Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... Which graph represents P95? Choose the correct graph below. A. xy A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom on the left side. The region left of the line is shaded. B. xy A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom on the right side. The region right of the line is shaded. C. xy A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom on the left side. The region right of the line is shaded. D. xy A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom on the right side. The region left of the line is shaded. The temperature for P95 is approximately

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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

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

P95,

the

95th

percentile. This is the temperature reading separating the bottom

95%

from the top 5%.

Click to view page 1 of the table.

Click to view page 2 of the table.

Which graph represents

P95?

Choose the correct graph below.

A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom on the left side. The region left of the line is shaded.

A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom on the right side. The region right of the line is shaded.

A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom on the left side. The region right of the line is shaded.

A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom on the right side. The region left of the line is shaded.

The temperature for

P95

is approximately

nothing°.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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