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andriy [413]
3 years ago
11

What is the value of the expression x^-2y^3 when x= -5 and y= 2

Mathematics
1 answer:
Reil [10]3 years ago
7 0
The answer is -192 because 5^-2 is -25 and 2^3 is 8, so -25 times 8 is -192.
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t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-0.714 -0}{\frac{1.38}{\sqrt{7}}}=-1.369

df=n-1=7-1=6

p_v =2*P(t_{(6)}

We see that the p value is higher than the ususal significance levels commonly used of 1% or 5% so then we can conclude that we FAIL to reject the null hypothesis, and there is not enough evidence to conclude that we have a different response between the two drugs

Step-by-step explanation:

We have the following info given by the problem

Subject  1 2 3 4 5 6 7

Drug A  6 3 4 5 7 1 4

Drug B  5 1 5 5 5 2 2

x=value for drug A , y = value for drug B

x: 6 3 4 5 7 1 4  

y: 5 1 5 5 5 2 2

We want to verify if the mean response differs between the two drugs then  the system of hypothesis for this case are:

Null hypothesis: \mu_y- \mu_x = 0

Alternative hypothesis: \mu_y -\mu_x \neq 0

We can begin calculating the difference d_i=y_i-x_i and we obtain this:

d: -1, -2, 1, 0, -2, 1, -2

Now we can calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}=-0.714

Now we can find the the standard deviation for the differences, and we got:

s_d =\sqrt{\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}}=1.38

And now we can calculate the statistic given by :

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-0.714 -0}{\frac{1.38}{\sqrt{7}}}=-1.369

Now we can find the degrees of freedom given by:

df=n-1=7-1=6

We can calculate the p value, since we have a two tailed test the p value is given by:

p_v =2*P(t_{(6)}

We see that the p value is higher than the ususal significance levels commonly used of 1% or 5% so then we can conclude that we FAIL to reject the null hypothesis, and there is not enough evidence to conclude that we have a different response between the two drugs

7 0
4 years ago
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