Answered: Past studies showed that maternal…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

See similar textbooks

Related questions

Concept explainers

Question

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. (See data on file: M08_BloodPressure_Diabete_Q7.xlsx)

(a)Test at the 5% significance level whether the mean arterial blood pressure of all children of diabetic mothers is above 85 mm Hg.

(b)What is the P-value of the test in part (a)?

(c)Obtain a confidence interval corresponding to the test in part (a).

(d)Does the interval in part (c) support the result in part (a)? Explain your answer.

7. 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. (See data on file:
M08_BloodPressure_Diabete_Q7.xlsx)
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

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 + ...

Expert Solution

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,