10.Past studies showed that maternal diabetes results in obesity, blood pressure,and glucose tolerance complications in the offspring. Following are thearterial blood pressures, in millimetres of mercury (mm Hg), for a randomsample of 16 children of diabetic mothers. The sample mean is ?̅= 85.99 mm Hg and the sample standard deviation is ? = 8.08 mm Hg(a)Obtain a 95% confidence interval for the mean arterial blood pressure of all children of diabetic mothers. (b)Interpret the confidence interval obtained in part (a).(c)Obtain a 90% confidence interval for the mean arterial blood pressure of all children of diabetic mothers. 81.684.187.682.882.088.986.796.484.6101.990.894.069.478.975.291.0 10.Past studies showed that maternal diabetes results in obesity, blood pressure,and glucose tolerance complications in the offspring. Following are thearterial blood pressures, in millimetres of mercury (mm Hg), for a randomsample of 16 children of diabetic mothers. The sample mean is x= 85.99 mmHg and the sample standard deviation is s = 8.08 mm Hg(a)Obtain a 95% confidence interval for the mean arterial blood pressure of all children of diabeticmothers.(b)lnterpret the confidence interval obtained in part (a).(c)Obtain a 90% confidence interval for the mean arterial blood pressure of all children of diabeticmothers.

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College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.CR: Chapter Review

Problem 37E: Find the positive geometric mean between 4 and 64.

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10.Past studies showed that maternal diabetes results in obesity, blood pressure,
and glucose tolerance complications in the offspring. Following are the
arterial blood pressures, in millimetres of mercury (mm Hg), for a random
sample of 16 children of diabetic mothers. The sample mean is ?̅= 85.99 mm
Hg and the sample standard deviation is ? = 8.08 mm Hg

(a)Obtain a 95% confidence interval for the mean arterial blood pressure of all children of diabetic mothers.

(b)Interpret the confidence interval obtained in part (a).

(c)Obtain a 90% confidence interval for the mean arterial blood pressure of all children of diabetic mothers.

81.6
84.1
87.6
82.8
82.0
88.9
86.7
96.4
84.6
101.9
90.8
94.0
69.4
78.9
75.2
91.0

10.Past studies showed that maternal diabetes results in obesity, blood pressure,
and glucose tolerance complications in the offspring. Following are the
arterial blood pressures, in millimetres of mercury (mm Hg), for a random
sample of 16 children of diabetic mothers. The sample mean is x= 85.99 mm
Hg and the sample standard deviation is s = 8.08 mm Hg
(a)Obtain a 95% confidence interval for the mean arterial blood pressure of all children of diabetic
mothers.
(b)lnterpret the confidence interval obtained in part (a).
(c)Obtain a 90% confidence interval for the mean arterial blood pressure of all children of diabetic
mothers.

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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