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Nadya [2.5K]
3 years ago
7

Does taking ginkgo tablets (i.e., and extract from a tree species) twice a day provide significant improvement in mental perform

ance? To investigate this issue, a researcher conducted a study with 150 adult subjects who took ginkgo tablets twice a day for a period of 6 months. At the end of the study, 200 variables related to the mental performance of the subjects were measured on each subject and the means compared to known means for these variables in the population of all adults. Nine of these variables were significantly better (in the sense of statistical significance) at the 5% level for the group taking the ginkgo tablets as compared to the population as a whole, and one variable was significantly better at the 1% level for the group taking the ginkgo tablets as compared to the population as a whole. Which of the following statements is the correct conclusion?
A. There is good statistical evidence that taking ginkgo tablets twice a day provides some improvement in mental performance.
B. These results would have provided good statistical evidence that taking ginkgo tablets twice a day provides some improvement in mental performance if the number of subjects had been larger. It is premature to draw statistical conclusions from studies in which the number of subjects is less than the number of variables measured.
C. There is good statistical evidence that taking ginkgo tablets twice a day provides improvement for the variable that was significant at the 1% level. We should be somewhat cautious about making claims for the variables that were significant at the 5% level.
D. These results do not provide good statistical evidence that taking ginkgo tablets twice a day provides some improvement in mental performance. If 200 tests are being performed at the 5% significance level, some are bound to show statistically significant results, even if the treatment does not have any effect. It is premature to draw statistical conclusions from this study in which the percentage of significant tests is about 5%.
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
5 0

Answer:

D. These results do not provide good statistical evidence that taking ginkgo tablets twice a day provides some improvement in mental performance. If 200 tests are being performed at the 5% significance level, some are bound to show statistically significant results, even if the treatment does not have any effect. It is premature to draw statistical conclusions from this study in which the percentage of significant tests is about 5%.

Step-by-step explanation:

It is not right to just made a conclusive argument on a large population by considering the outcome of the analysis made on a sample of the population. In addition, based on the number of tests conducted with about 5% significance level, it is clear that this can not be used to draw the necessary conclusion.

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Help me please!!!!!!
maks197457 [2]

To find the median, find the middle number. Since there are 10 numbers, find the 5th one and the 6th one and find their average.

The two numbers are both 9, so its safe to say that the median is 9.

to find the median of the first and quartile, you have to place a line where the median should be and find the median of that. Q1 and Q2 will be 5 and 11 (respectively).

Its easy to see that all the lines start at the lowest point given and end at the largest point given, so match Q1, the median, and Q3

The only line that has lines at the Q1, median, and Q3 we figured out is answer C, so therefore it is the answer.

8 0
3 years ago
. The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to nd
Blababa [14]

The question is:

The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y2(x) of the homogeneous equation

x²y'' - 7xy' + 16y = 0; y1 = x^4

Answer:

The second solution y2 is

A(x^4)lnx

Step-by-step explanation:

Given the homogeneous differential equation

x²y'' - 7xy' + 16y = 0

And a solution: y1 = x^4

We need to find a second solution y2 using the method of reduction of order.

Let y2 = uy1

=> y2 = ux^4

Since y2 is also a solution to the differential equation, it also satisfies it.

Differentiate y2 twice in succession with respect to x, to obtain y2' and y2'' and substitute the resulting values into the original differential equation.

y2' = u'. x^4 + u. 4x³

y2'' = u''. x^4 + u'. 4x³ + u'. 4x³ + u. 12x²

= u''. x^4 + u'. 8x³ + u. 12x²

Now, using these values in the original equation,

x²(u''. x^4 + u'. 8x³ + u. 12x²) - 7x(u'. x^4 + u. 4x³)+ 16(ux^4) = 0

x^6u'' + 8x^5u' + 12x^4u - 7x^5u' - 28x^4u + 16x^4u = 0

x^6u'' + x^5u' = 0

xu'' = -u'

Let w = u'

Then w' = u''

So

xw' = -w

w'/w = -1/x

Integrating both sides

lnw = -lnx + C

w = Ae^(-lnx) (where A = e^C)

w = A/x

But w = u'

So,

u' = A/x

Integrating this

u = Alnx

Since

y2 = uy1

We have

y2 = (Alnx)x^4 = (Ax^4)lnx

Therefore, the second solution y2 is

A(x^4)lnx

6 0
3 years ago
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icang [17]

Answer:

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Step-by-step explanation:

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3.14 x 9 x 16

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Likurg_2 [28]

Answer:

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Step-by-step explanation:

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3 years ago
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