calculate the 95% confidence interval for the mean systolic blood pressure chance. Does the oral contraceptives change the mean of the systolic blood pressure? The systolic blood pressures (mmHg) of 12 women between the ages of 20 and 35 weremeasured before and after administration of a newly developed oral contraceptive (TableE4.25).TABLE E4.25SubjectBeforeAfterAfter-before difference, d,1122127521261282313214084120119-11421453130130714214868137135-2128129110132137511128128121291334

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calculate the 95% confidence interval for the mean systolic blood pressure chance. Does the oral contraceptives change the mean of the systolic blood pressure?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 31PPS

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Question

100%

calculate the 95% confidence interval for the mean systolic blood pressure chance. Does the oral contraceptives change the mean of the systolic blood pressure?

The systolic blood pressures (mmHg) of 12 women between the ages of 20 and 35 were
measured before and after administration of a newly developed oral contraceptive (Table
E4.25).
TABLE E4.25
Subject
Before
After
After-before difference, d,
1
122
127
5
2
126
128
2
3
132
140
8
4
120
119
-1
142
145
3
130
130
7
142
148
6
8
137
135
-2
128
129
1
10
132
137
5
11
128
128
12
129
133
4

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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