Does the average Presbyterian donate a different amount of money compared to the average Catholic in church on Sundays? The 42 randomly observed members of the Presbyterian church donated an average of $20 with a standard deviation of $10. The 47 randomly observed members of the Catholic church donated an average of $23 with a standard deviation of $10. What can be concluded at the αα = 0.05 level of significance? H0: H1: The test statistic ? t z = The p-value = The p-value is ? > ≤ α Based on this, we should Select an answer fail to reject reject accept the null hypothesis. Thus, the final conclusion is that ... The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the mean donation for the 42 Presbyterians that were observed is a different amount of money compared to the mean donation for the 47 Catholics that were observed. The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population mean amount of money that Presbyterians donate is a different amount of money compared to the population mean amount of money that Catholics donate. The results are statistically insignificant at αα = 0.05, so there is statistically significant evidence to conclude that the population mean amount of money that Presbyterians donate is equal to the population mean amount of money that Catholics donate. The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the population mean amount of money that Presbyterians donate is a different amount of money compared to the population mean amount of money that Catholics donate.

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Description: Does the average Presbyterian donate a different amount of money compared to the average Catholic in church on Sundays? The 42 randomly observed members of the Presbyterian church donated an average of $20 with a standard deviation of $10. The 47 ran

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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Does the average Presbyterian donate a different amount of money compared to the average Catholic in church on Sundays? The 42 randomly observed members of the Presbyterian church donated an average of $20 with a standard deviation of $10. The 47 randomly observed members of the Catholic church donated an average of $23 with a standard deviation of $10. What can be concluded at the αα = 0.05 level of significance?

H0:

H1:

The test statistic ? t z =

The p-value =

The p-value is ? > ≤ α

Based on this, we should Select an answer fail to reject reject accept the null hypothesis.
Thus, the final conclusion is that ...
- The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the mean donation for the 42 Presbyterians that were observed is a different amount of money compared to the mean donation for the 47 Catholics that were observed.
- The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population mean amount of money that Presbyterians donate is a different amount of money compared to the population mean amount of money that Catholics donate.
- The results are statistically insignificant at αα = 0.05, so there is statistically significant evidence to conclude that the population mean amount of money that Presbyterians donate is equal to the population mean amount of money that Catholics donate.
- The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the population mean amount of money that Presbyterians donate is a different amount of money compared to the population mean amount of money that Catholics donate.

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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