Does the average Presbyterian donate (μ1μ1) a different amount of money compared to the average Catholic (μ2μ2) in church on Sundays? The 59 randomly observed members of the Presbyterian church donated an average of $29 with a standard deviation of $14. The 40 randomly observed members of the Catholic church donated an average of $23 with a standard deviation of $5. What can be concluded at the αα = 0.01 level of significance? For this study, what sampling distribution should be used? Select an answer standard normal distribution binomial distribution uniform distribution Student t distribution The null and alternative hypotheses would be: H0:H0: Select an answer μ1-μ2 μ p μd p1-p2 Select an answer < ≠ = > (please enter a decimal) H1:H1: Select an answer μd p1-p2 p μ1-μ2 μ Select an answer < ≠ = > (Please enter a decimal) The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? ≤ > αα Based on this, we should Select an answer accept reject fail to reject the null hypothesis. Thus, the final conclusion is that ... The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the mean donation for the 59 Presbyterians that were observed is a different amount of money compared to the mean donation for the 40 Catholics that were observed. The results are statistically insignificant at αα = 0.01, 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 significant at αα = 0.01, 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. The results are statistically insignificant at αα = 0.01, 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.

Does the average Presbyterian donate (μ1μ1) a different amount of money compared to the average Catholic (μ2μ2) in church on Sundays? The 59 randomly observed members of the Presbyterian church donated an average of $29 with a standard deviation of $14. The 40 randomly observed members of the Catholic church donated an average of $23 with a standard deviation of $5. What can be concluded at the αα = 0.01 level of significance? For this study, what sampling distribution should be used? Select an answer standard normal distribution binomial distribution uniform distribution Student t distribution The null and alternative hypotheses would be: H0:H0: Select an answer μ1-μ2 μ p μd p1-p2 Select an answer < ≠ = > (please enter a decimal) H1:H1: Select an answer μd p1-p2 p μ1-μ2 μ Select an answer < ≠ = > (Please enter a decimal) The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? ≤ > αα Based on this, we should Select an answer accept reject fail to reject the null hypothesis. Thus, the final conclusion is that ... The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the mean donation for the 59 Presbyterians that were observed is a different amount of money compared to the mean donation for the 40 Catholics that were observed. The results are statistically insignificant at αα = 0.01, 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 significant at αα = 0.01, 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. The results are statistically insignificant at αα = 0.01, 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.

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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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For this study, what sampling distribution should be used? Select an answer standard normal distribution binomial distribution uniform distribution Student t distribution
The null and alternative hypotheses would be:

H0:H0: Select an answer μ1-μ2 μ p μd p1-p2 Select an answer < ≠ = > (please enter a decimal)

H1:H1: Select an answer μd p1-p2 p μ1-μ2 μ Select an answer < ≠ = > (Please enter a decimal)

The test statistic ? t z = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is ? ≤ > αα
Based on this, we should Select an answer accept reject fail to reject the null hypothesis.
Thus, the final conclusion is that ...
- The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the mean donation for the 59 Presbyterians that were observed is a different amount of money compared to the mean donation for the 40 Catholics that were observed.
- The results are statistically insignificant at αα = 0.01, 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 significant at αα = 0.01, 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.
- The results are statistically insignificant at αα = 0.01, 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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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