Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 3 inches. The heights of 9 randomly selected students are 75, 70, 65, 74, 65, 62, 60, 68 and 66. Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 3 inches. The heights of 9 randomly selected students are 75, 70, 65, 74, 65, 62, 60, 68, and 66.The sample mean (\(\bar{x}\)) is calculated to be 67.22 inches.The margin of error at a 90% confidence level and the 90% confidence interval will be calculated as follows:**Sample Mean (\(\bar{x}\))**:\[\bar{x} = 67.22 \text{ inches} \]**Margin of error at 90% confidence level**:\[\text{Margin of error} = \]**90% confidence interval**:\[\left[ \ , \ \right] \quad [\text{smaller value}, \text{larger value}]\]This information helps in statistically estimating the average height range in which the true mean height of all 9th grade students at this high school likely falls, with 90% confidence.

Given that Sample size n =9 Population standard deviation =3

Answered: Suppose the mean height in inches of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 3 inches. The heights of 9 randomly selected students are 75, 70, 65, 74, 65, 62, 60, 68 and 66.

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