The following data were collected in an experiment designed to investigate the impact of different positions of the mother on fetal heart rate. Fetal heart rate is measured by ultrasound in beats per minute. The study included 20 women who were assigned to one position and had the fetal heart rate measured in that position. Each woman was between 28-32 weeks gestation. The data are shown below.BackSideSittingStanding140141144147144143145145146145147148141144148149139136144145Is there a significant difference in mean fetal heart rates by position? Run the test at a 5% level of significance.Write out the appropriate null hypothesis and the alternative hypothesis calculate and report the appropriate test statistic. Please show your work. decide to either fail to reject null hypothesis or reject null hypothesis in favor of the alternative hypothesis and describe the result and the statistical conclusion in an understandable way.

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Description: The following data were collected in an experiment designed to investigate the impact of different positions of the mother on fetal heart rate. Fetal heart rate is measured by ultrasound in beats per minute. The study included 20 women who were assig

Solution: State the hypotheses. Null hypothesis: H0: There is no significant difference in mean…

Answered: The following data were collected in an…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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The following data were collected in an experiment designed to investigate the impact of different positions of the mother on fetal heart rate. Fetal heart rate is measured by ultrasound in beats per minute. The study included 20 women who were assigned to one position and had the fetal heart rate measured in that position. Each woman was between 28-32 weeks gestation. The data are shown below.

Back	Side	Sitting	Standing
140	141	144	147
144	143	145	145
146	145	147	148
141	144	148	149
139	136	144	145

Is there a significant difference in mean fetal heart rates by position? Run the test at a 5% level of significance.

Write out the appropriate null hypothesis and the alternative hypothesis

calculate and report the appropriate test statistic. Please show your work.

decide to either fail to reject null hypothesis or reject null hypothesis in favor of the alternative hypothesis and describe the result and the statistical conclusion in an understandable way.

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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