The standard error of the sample mean height is The margin of error in calculating a 95% confidence interval for the average height of all female students in the local high school isplease help me with these 2 questions, the answers I wrote is wrong Suppose a researcher believes that the average height of female students in a large local high school is 140 cm. The researcher wants toconstruct an interval that contains the true average height of all female students in the local high school with a certain prespecified probability.The researcher selects 36 female students at random from the high school. The distribution of heights is known to follow a normal distribution.The given table shows the data she collected (in cm).146147141140139140140141144137139143142128139142145135139138150141138145134147134143146146139135140145140145The average height of the female students in the given sample is 140.92 cm.The sample standard deviation is 4.50 cm.(Round your answers to two decimal places.)The standard error of the sample mean height is 0.75 cm.The margin of error in calculating a 95% confidence interval for the average height of all female students in the local high school is 1.52 cm.(Round your answers to two decimal places.)

The objective of the question is to calculate the standard error of the sample mean height and the…

Answered: Suppose a researcher believes that the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The standard error of the sample mean height is

The margin of error in calculating a 95% confidence interval for the average height of all female students in the local high school is

please help me with these 2 questions, the answers I wrote is wrong

Suppose a researcher believes that the average height of female students in a large local high school is 140 cm. The researcher wants to
construct an interval that contains the true average height of all female students in the local high school with a certain prespecified probability.
The researcher selects 36 female students at random from the high school. The distribution of heights is known to follow a normal distribution.
The given table shows the data she collected (in cm).
146
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141
140
139
140
140
141
144
137
139
143
142
128
139
142
145
135
139
138
150
141
138
145
134
147
134
143
146
146
139
135
140
145
140
145
The average height of the female students in the given sample is 140.92 cm.
The sample standard deviation is 4.50 cm.
(Round your answers to two decimal places.)
The standard error of the sample mean height is 0.75 cm.
The margin of error in calculating a 95% confidence interval for the average height of all female students in the local high school is 1.52 cm.
(Round your answers to two decimal places.)

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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