A second-semester junior at a large high school wants to estimate the number of colleges a senior applies to on average before deciding which school they will attend. The junior randomly selects 18 seniors and asks them how many colleges they applied to and records the number.A 99% confidence interval is calculated to estimate the true mean number of colleges seniors at this school apply to before deciding which college to attend.Check all the true statements that apply.Reducing the confidence level will reduce the margin of error.Increasing the sample size will reduce the margin of error.Increasing the sample size will cost this junior too much money.The junior can lower the standard deviation and that would reduce the margin of error.If they decrease the confidence level, then they are decreasing the level of certainty that they have captured the true mean.

Answered: second-semester junior at a large high…

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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A second-semester junior at a large high school wants to estimate the number of colleges a senior applies to on average before deciding which school they will attend. The junior randomly selects 18 seniors and asks them how many colleges they applied to and records the number.

A 99% confidence interval is calculated to estimate the true mean number of colleges seniors at this school apply to before deciding which college to attend.

Check all the true statements that apply.

Reducing the confidence level will reduce the margin of error.

Increasing the sample size will reduce the margin of error.

Increasing the sample size will cost this junior too much money.

The junior can lower the standard deviation and that would reduce the margin of error.

If they decrease the confidence level, then they are decreasing the level of certainty that they have captured the true mean.

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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