a) What is the rho value (from Excel) and the associated p-value (from the online calculator)? Does the T-test suggest that the correlation is significant (P < 0.05)?  What does this mean about the null hypothesis? Remember, the p-value is how likely it is that the null hypothesis is true, given our data.  Always interpret your conclusions (based on the p-value) in "human terms." Don't just say "we reject/fail to reject the null hypothesis because the p-value is less than/greater than the alpha value of 0.05." While you should state this first (always report the p-value), the final interpretation is "penny age and oxidation are /are not correlated; older pennies are/are not more oxidized." B) Is there a chance that our statistical test found that there was a correlation between penny age and oxidation, when in reality there is not? Is this a Type I or Type II error?   C) Does the histogram appear to show an overall difference in age (Year) between the more oxidized and the less oxidized groups of pennies? Note: a good way to interpret this graph is to look at the amount of overlap between the colored bars. If there is a lot of overlap, would you expect the two groups to be different in their ages?  PROVIDED DATA rHO VALUE : -0.45 HISTOGRAM:    asap

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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a) What is the rho value (from Excel) and the associated p-value (from the online calculator)? Does the T-test suggest that the correlation is significant (P < 0.05)?  What does this mean about the null hypothesis? Remember, the p-value is how likely it is that the null hypothesis is true, given our data.  Always interpret your conclusions (based on the p-value) in "human terms." Don't just say "we reject/fail to reject the null hypothesis because the p-value is less than/greater than the alpha value of 0.05." While you should state this first (always report the p-value), the final interpretation is "penny age and oxidation are /are not correlated; older pennies are/are not more oxidized."


B) Is there a chance that our statistical test found that there was a correlation between penny age and oxidation, when in reality there is not? Is this a Type I or Type II error?

 

C) Does the histogram appear to show an overall difference in age (Year) between the more oxidized and the less oxidized groups of pennies? Note: a good way to interpret this graph is to look at the amount of overlap between the colored bars. If there is a lot of overlap, would you expect the two groups to be different in their ages? 

PROVIDED DATA

rHO VALUE : -0.45

HISTOGRAM: 

 

asap 

Frequency
6
5
4
3
2
1
0
Coins Grouped by Oxidation
1940 1950 1960 1970 1980 1990 2000 2010
Decade
More Oxidized Less Oxidized
Transcribed Image Text:Frequency 6 5 4 3 2 1 0 Coins Grouped by Oxidation 1940 1950 1960 1970 1980 1990 2000 2010 Decade More Oxidized Less Oxidized
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