In each of the following settings, decide whether you should use two-sample t procedures to perform inference about a difference in means or paired t procedures to perform inference about a mean difference. Explain your choice. A random sample of 30 adults were selected. Each adult reported the number of pieces of junk mail they received in their mailbox at home that day as well as the number of junk emails they received in their inbox that day. A researcher would like to know if adults receive significantly more junk email than junk mail in their mailbox. A random sample of 100 people who live on the west coast and 100 people who live on the east coast are selected. Each person reports how many spam calls they receive in a one-week time period. We would like to know if people who live on the west coast receive significantly more spam calls than those who live on the east coast. A researcher randomly selects a variety of 15 cell phones from different manufacturers and different service providers. The researcher measures the signal strength from two different remote areas: one in the state of Pennsylvania and one in the state of Virginia. The researcher would like to know if the signal strength is significantly weaker in the remote area in the state of Virginia.

Name: In each of the following settings, decide whether you should use two-s
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Description: In each of the following settings, decide whether you should use two-sample t procedures to perform inference about a difference in means or paired t procedures to perform inference about a mean difference. Explain your choice. A random sample 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

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In each of the following settings, decide whether you should use two-sample t procedures to perform inference about a difference in means or paired t procedures to perform inference about a mean difference. Explain your choice.

A random sample of 30 adults were selected. Each adult reported the number of pieces of junk mail they received in their mailbox at home that day as well as the number of junk emails they received in their inbox that day. A researcher would like to know if adults receive significantly more junk email than junk mail in their mailbox.
A random sample of 100 people who live on the west coast and 100 people who live on the east coast are selected. Each person reports how many spam calls they receive in a one-week time period. We would like to know if people who live on the west coast receive significantly more spam calls than those who live on the east coast.
A researcher randomly selects a variety of 15 cell phones from different manufacturers and different service providers. The researcher measures the signal strength from two different remote areas: one in the state of Pennsylvania and one in the state of Virginia. The researcher would like to know if the signal strength is significantly weaker in the remote area in the state of Virginia.

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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