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Inessa [10]
3 years ago
13

Suppose we conduct a hypothesis test to determine if an exercise program helps people lose weight. We measure the weight of a ra

ndom sample of participants before and after they complete the exercise program. The mean number of pounds lost for the sample turns out to be 7.9 lbs. The hypotheses for the test are: H0: The program is not effective for weight loss. Ha: The program is effective for weight loss. The P-value for the test turns out to be 0.012. Which of the following is the appropriate conclusion, assuming that all conditions for inference are met and the level of significance is 0.05? (i) We reject H0---this sample does not provide significant evidence that the program is effective. (ii) We reject H0---this sample provides significant evidence that the program is effective. (iii) We fail to reject H0---this sample provides significant evidence that the program is not effective. (iv) We fail to reject H0---this sample does not provide significant evidence that the program is effective.
Mathematics
1 answer:
shusha [124]3 years ago
6 0

Answer: (ii) We reject H0---this sample provides significant evidence that the program is effective.

Step-by-step explanation:

The null hypothesis is

The program is not effective for weight loss.

The alternative hypothesis is

The program is effective for weight loss.

If the P-value for the test turns out to be 0.012, and the level of significance is 0.05, then

Alpha, 0.05 > p value, 0.012

Therefore, there is enough evidence to reject the null hypothesis. We then accept the alternative hypothesis.

The correct option is

(ii) We reject H0---this sample provides significant evidence that the program is effective.

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I have a question about polynomial division it is in the picture
Cloud [144]

To answer this question, we have to do the long division process for polynomials. We can do the operation as follows:

To do this division process, we have:

1. Divide the first term of the dividend by the first element of the divisor. They are:

\frac{-4x^3}{4x^2}=-x

2. Now, we have to multiply this result by the divisor, and the result will change its sign since we have to subtract that result from the dividend as follows:

-x\cdot(4x^2_{}-4x-4)=-4x^3+4x^2+4x

And since we to subtract this result from the dividend, we end up with:

-(-4x^3+4x^2+4x)=4x^3-4x^2-4x

3. Then we have the following algebraic addition:

\frac{\begin{cases}-4x^3+24x^2-15x-15 \\ 4x^3-4x^2-4x\end{cases}}{20x^2-19x-15}

4. Again, we need to divide the first term of the dividend by the first term of the divisor as follows:

\frac{20x^2}{4x^2}=5

5. And we have to multiply 5 by the divisor, and the result will be subtracted from the dividend:

5\cdot(4x^2-4x-4)=20x^2-20x-20

Since we have to subtract this from the dividend, we have:

-(20x^2-20x-20)=-20x^2+20x+20

6. And we have to add this algebraically to the dividend we got in the previous step:

\frac{\begin{cases}20x^2-19x-15 \\ -20x^2+20x+20\end{cases}}{x+5}

And this is the remainder of the division, x + 5.

As we can see from the division process, we got as:

1. The quotient: -x + 5

q=-x+5

2. The remainder: x + 5.

R=x+5

Since we have that the dividend = divisor * quotient + remainder.

Therefore, the result for this division is:

-4x^3+24x^2-15x-15=(4x^2-4x-4)\cdot(-x+5)+(x+5)

4 0
1 year ago
Is the formula s=(n-2)180
Phantasy [73]

Answer:

Number of sides of the polygon

Step-by-step explanation:

The formula S=(n-2)180 is the sum of the measures of interior angles. So that's what S stands for. The only other variable remaining is n which is the number of sides of the polygon.

There's nothing I can do to help you understand this, you just have to memorize it.

5 0
3 years ago
Which graph represents the inequality 3y-5x&lt;-6? <br>​
nydimaria [60]

Answer:

First Graph

Step-by-step explanation:

3y-5x<-6

3y<5x-6

y<5/3x-6/3

y<5/3x-2

plug in the coordinates (0,0)

0<0-2

0<-2

0 is not less than -2

therefore the graph would be shaded opposite of (0,0)

5 0
3 years ago
Angelo cuts a triangle from a sheet of paper as shown. what is the measure of the triangle?
NikAS [45]
Http://prntscr.com/anjh06

The image I saw was a paper with 90° edges. the 90° was cut into 2, 75° and x.

x = 90° - 75° = 15°

Interior angles of a triangle should equal 180°. The other corner of the paper is part of the triangle. It has a measure of 90°

The two angles are 15° and 90°. To find the remaining unknown angle, we deduct the two angles from 180°

3rd angle = 180° - 15° - 90°
3rd angle = 180° - 105°
3rd angle = 75°

6 0
3 years ago
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6. The population of wolves is currently 250 in a forest. Scientists estimate that there should be a
prisoha [69]

Answer:

275

Step-by-step explanation:

250÷10=25 250+25=275

7 0
3 years ago
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