Sense there's only a y, you'd assume y is 1 or 1y.
you'd make the 1 a negative 1 to get rid of the subtraction sign.
you'd add together the 2 ys making it 2y. then add -1 + 3, which would be 2.
so, the answer would be 2y + 2.
You have the correct P value, but you have the wrong conclusion. If you get a P value smaller than alpha, then you reject the null hypothesis. You can think of the P value as the chances of getting the null correct (though not entirely accurate, this kind of logic is applicable in a way). The smaller the P value, the less chances the null is correct. The alpha value is the threshold on when to make a decision on rejection vs failing to reject.
<h3>The answer is choice D</h3>
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One way to get the P value is to enter the data into excel and use the TTest function to do a paired T test on the data. Look at the one tail P value and you should get 0.009947481 which is fairly close to 0.00991. A screenshot is attached to show you what I mean.
We're doing a one tailed test because of the alternative hypothesis having a "greater than" symbol. If it was a "not equal" symbol, then we would be doing a two tailed test.
There are many free online tools that will do paired T tests as well. GeoGebra is one such tool that I use all the time.
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The longer method to finding the P value is described as such:
Step 1) Subtract each of the data values in each row. This forms a column of differences d
Step 2) Compute the mean of this new column of values. I'll call this dbar. The "bar" indicates there is a horizontal line over the "d" to indicate we're talking about a sample mean. You should get dbar = 2.5
Step 3) Compute the sample standard deviation of the column of d values. I'll call this sd which stands for "standard deviation of the d values". You should get roughly sd = 2.798809271
Step 4) Compute the t test statistic to get
t = (dbar)/(sd/sqrt(n))
t = (2.5)/(2.798809271/sqrt(10))
t = 2.82466341395113
Step 5) Use a calculator to find P(T > 2.82466341395113) = 0.0099474806 approximately (degrees of freedom df = n-1 = 10-1 = 9). This is the P value. Again its fairly close to 0.00991.
The answer of the question is 125
1. The answer for the first question is 7.6 You get the answer by adding all the numbers together then dividing the answer you get by the number of items in this case there were 5 different numbers. This is how you get the mean.
2. The answer is 92.25