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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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Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unkno
spin [16.1K]
The other endpoint is (1, -17).

The midpoint formula is:

m=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Using our midpoint and endpoint, we have:
(6, -11) = (\frac{11+x_2}{2}, \frac{-5+y_2}{2})
\\
\\6=\frac{11+x_2}{2} \text{ and } -11=\frac{-5+y_2}{2}


For the first equation (to find the x-coordinate) we will multiply both sides by 2:
6\times2=\frac{11+x_2}{2}\times 2
\\
\\12=11+x_2

Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂

For the second equation (the y-coordinate) we multiply both sides by 2:
-11\times2=\frac{-5+y_2}{2}\times 2
\\
\\-22=-5+y_2

Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂

This means that (x₂, y₂) is at (1, -17).
4 0
3 years ago
 A jar contains only​ pennies, nickels,​ dimes, and quarters. There are 25 ​pennies, 21 ​dimes, and 29 quarters. The rest of the
OlgaM077 [116]
<h3>Answer:  </h3><h3>There are 75 coins that aren't nickels. </h3><h3>One equation you could use is 75+n = 92</h3>

(This solves to n = 17 meaning there are 17 nickels)

=====================================================

Explanation:

"There are 25 ​pennies, 21 ​dimes, and 29 quarters", so there are 25+21+29 = 75 coins so far. This is the amount of coins that aren't nickels. The rest are nickels, which is some amount n. This adds to the 75 to get 75+n. Set this equal to 92 because there are 92 coins in all. That's how we end up with 75+n = 92.

-----

Extra info

The equation 75+n = 92 is the same as n+75 = 92. Subtract 75 from both sides to isolate n. You should get n = 17 after doing so.

3 0
3 years ago
The mean temperature for the first 7 days in January was 4 °C. The temperature on the 8th day was 3 °C. What is the mean tempera
Bad White [126]

Answer:

Mean temperature for the first 8 days was  3.88^\circ

Step-by-step explanation:

Mean = \frac{4\cdot 7+3\cdot 1}{8}

=3.88^\circ

Best Regards!

3 0
3 years ago
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zmey [24]

Answer:

z-test

hu=50

Step-by-step explanation:

7 0
3 years ago
Water evaporates from a pond at aa rate of 0.005 inches per hour. What is the change in the water level of the pond after 24 hou
Eduardwww [97]

Answer:

Water level after 24 hours will be \frac{3}{25}\ inches.

Step-by-step explanation:

Given:

Evaporate rate of water= 0.005 inches per hour.

We need to find the level of water after 24 hours.

now we know the in 1 hour the water evaporates from a pool at a rate of 0.005 inches.

So To find the water level after 24 hrs we will multiply the evaporation rate with total number of hours which is 24 and the divide by 1 hour we get.

Framing in equation form we get;

water level after 24 hrs = \frac{24 \times 0.005}1 = 0.12\ inches

Now to convert the number in rational form we have to multiply and divide the number by 100 we get;

\frac{0.12\times 100}{100} = \frac{12}{100}=\frac{3}{25}\ inches

Hence Water level after 24 hours will be \frac{3}{25}\ inches.

5 0
3 years ago
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