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Get Full Access to Statistics: Informed Decisions Using Data - 5 Edition - Chapter 14.2 - Problem 1
Get Full Access to Statistics: Informed Decisions Using Data - 5 Edition - Chapter 14.2 - Problem 1

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# ?Intervals constructed about the predicted value of y, at a given level of x, that are used to measure the accuracy of the mean response of all individ

ISBN: 9780134133539 240

## Solution for problem 1 Chapter 14.2

Statistics: Informed Decisions Using Data | 5th Edition

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Problem 1

Intervals constructed about the predicted value of y, at a given level of x, that are used to measure the accuracy of the mean response of all individuals in the population are called _______________ intervals for a(n) ___________________ response.

Step-by-Step Solution:

Step 1 of 5) Intervals constructed about the predicted value of y, at a given level of x, that are used to measure the accuracy of the mean response of all individuals in the population are called intervals for a(n) response. For example, IQ scores can be modeled by a normal distribution with m = 100 and s = 15. An individual whose IQ is 120, is z = x - m s = 120 - 100 15 = 1.33 standard deviations above the mean (recall, we round z-scores to two decimal places). We look in Table V and find the area under the standard normal curve to the left of z = 1.33 is 0.9082. See Figure 11. Therefore, the area under the normal curve to the left of x = 120 is 0.9082 as shown in Figure 12. To find the area to the right of the value of a random variable, use the Complement Rule and determine one minus the area to the left. For example, to find the area under the normal curve with mean m = 100 and standard deviation s = 15 to the right of x = 120, compute Area = 1 - 0.9082 = 0.0918 as shown in Figure 12.

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