In a study, 10 healthy men were exposed to diesel exhaust for 1 hour. A measure of brain activity (called median power frequency, or MPF in Hz) was recorded at two different locations in the brain both before and after the diesel exhaust exposure. The resulting data are given in the accompanying table. For purposes of this exercise, assume that the sample of 10 men is representative of healthy adult males. Subject MPF (in Hz) Location 1 before Location 1 after Location 2 before Location 2 after 1 6.4 8.0 6.9 9.4 2 8.6 12.7 9.5 11.2 3 7.4 8.4 6.6 10.2 4 8.6 9.0 9.0 9.7 5 9.8 8.4 9.6 9.2 6 8.9 11.0 9.0 11.9 7 9.1 14.4 7.9 9.3 8 7.4 11.1 8.1 9.1 9 6.7 7.3 7.2 8.0 10 8.9 11.2 7.4 9.3 Construct a 90% confidence interval estimate for the difference in mean MPF at brain location 1 (in Hz) before and after exposure to diesel exhaust. (Hint: See Example 13.7.) (Use ?d = ?before − ?after. Use a table or technology. Round your answers to two decimal places.) , Hz Interpret the interval. There is a 90% chance that the difference in mean MPF at brain location 1 before and after exposure to diesel exhaust falls within this interval.There is a 90% chance that the difference in mean MPF at brain location 1 before and after exposure to diesel exhaust falls directly in the middle of this interval. There is a 90% chance that the true difference in mean MPF at brain location 1 before and after exposure to diesel exhaust falls directly in the middle of this interval.We are 90% confident that the difference in mean MPF at brain location 1 for the men in this study before and after exposure to diesel exhaust falls within this interval.We are 90% confident that the true difference in mean MPF at brain location 1 before and after exposure to diesel exhaust falls within this interval.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 4BGP

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In a study, 10 healthy men were exposed to diesel exhaust for 1 hour. A measure of brain activity (called median power frequency, or MPF in Hz) was recorded at two different locations in the brain both before and after the diesel exhaust exposure. The resulting data are given in the accompanying table. For purposes of this exercise, assume that the sample of 10 men is representative of healthy adult males.

Subject	MPF (in Hz)
Location 1 before	Location 1 after	Location 2 before	Location 2 after
1	6.4	8.0	6.9	9.4
2	8.6	12.7	9.5	11.2
3	7.4	8.4	6.6	10.2
4	8.6	9.0	9.0	9.7
5	9.8	8.4	9.6	9.2
6	8.9	11.0	9.0	11.9
7	9.1	14.4	7.9	9.3
8	7.4	11.1	8.1	9.1
9	6.7	7.3	7.2	8.0
10	8.9	11.2	7.4	9.3

Construct a 90% confidence interval estimate for the difference in mean MPF at brain location 1 (in Hz) before and after exposure to diesel exhaust. (Hint: See Example 13.7.) (Use

?_d = ?_before − ?_after.

Use a table or technology. Round your answers to two decimal places.)

Interpret the interval.

There is a 90% chance that the difference in mean MPF at brain location 1 before and after exposure to diesel exhaust falls within this interval.There is a 90% chance that the difference in mean MPF at brain location 1 before and after exposure to diesel exhaust falls directly in the middle of this interval. There is a 90% chance that the true difference in mean MPF at brain location 1 before and after exposure to diesel exhaust falls directly in the middle of this interval.We are 90% confident that the difference in mean MPF at brain location 1 for the men in this study before and after exposure to diesel exhaust falls within this interval.We are 90% confident that the true difference in mean MPF at brain location 1 before and after exposure to diesel exhaust falls within this interval.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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