Paul has $20,000 to invest. His intent is to earn 10.5% interest on his investment. He can invest part of his money at 7% intere
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Answer:
The obtained value of the appropriate statistic is ____.
d. 3.06
d. reject H0; the class appeared to improve study habits
Step-by-step explanation:
A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations we can use it.
Let put some notation
x=before method , y = after method
x: 10 12 14 16 12
y: 15 14 17 17 20
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
The first step is define the difference , that is given so we have:
d: 5,2,3,1,8
The second step is calculate the mean difference
The third step would be calculate the standard deviation for the differences, and we got:
The fourth step is calculate the statistic given by :
The next step is calculate the degrees of freedom given by:
Now we can calculate the p value, since we have a two tailed test the p value is given by:
The p value is less than the significance level given , so then we can conclude that we reject the null hypothesis.
d. reject H0; the class appeared to improve study habits
Subtract the constant vector that is on the left. The arithmetic applies to corresponding elements of the vectors.