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Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

At the null hypothesis, it is tested if the consumption is not different, that is, if the subtraction of the means is 0, hence:

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

At the alternative hypothesis, it is tested if the consumption is different, that is, if the subtraction of the means is not 0, hence:

[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]

Two groups of 22 patients, hence, the standard errors are:

[tex]s_1 = \frac{45.1}{\sqrt{22}} = 9.6154[/tex]

[tex]s_2 = \frac{26.4}{\sqrt{22}} = 5.6285[/tex]

The distribution of the differences is has:

[tex]\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]t = \frac{25 - 0}{11.14}[/tex]

[tex]t = 2.2438[/tex]

The p-value of the test is found using a two-tailed test, as we are testing if the mean is different of a value, with t = 2.2438 and 22 + 22 - 2 = 42 df.

Since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

A similar problem is given at https://brainly.com/question/25600813

Answer:

$843.36

Step-by-step explanation:

:))

Step-by-step explanation:

[tex]3p(2 - 3s) + 2q(2 - 3s) \\ (2 - 3s)(3p + 2q)[/tex]

Answer:

I'm an island boii ️️

1. Congruent

2. verticle (across from each others)

Answer:

125.66

Step-by-step explanation:

i don't get the one decimal place part but there your answer

Answer:

RED

BLUE

BLUE

RED

BLUE

Answer:

whats 25% of 8

2 2 2 2 each one worth 25%

so just add 2 to the 8 and thats 10 so 10 is 125% of 8

Answer:

To add a fraction to a whole number, convert the whole number into a fraction, form a common denominator, and then add the two numerators.

Step-by-step explanation:

Answer:

-20;two nonreal solutions

Step-by-step explanation:

D=b^2-4ac=36-14*4=-20

because after that you need to write D^1/2 and D is <0,the solutions are unreal

Answer:

-20 and two nonreal solutions.

Step-by-step explanation:

The discriminant of a quadratic equation uses the equation:

[tex]b^2 - 4ac[/tex]

Where the value of this calculation can tell you what solutions there are, plug known values in:

[tex]x^2 + 6x + 14 = 0\\a = 1\\b = 6\\c = 14\\[/tex]

[tex]b^2 - 4ac\\6^2 - 4(1)(14)\\36 - (4 * 14)\\36 - 56 = -20[/tex]

As -20 < 0, this means that there is not a real solution, resulting in the first option being correct.

Hope this helps!

Answer: a = 5

Step-by-step explanation:

a/6-1/2=1/3

a/6 = 1/3 + 1/2

a/6 = 2/6 + 3/6

a/6 = 5/6

a = 5

Check:

5/6-1/2 = 1/3 ?

5/6 - 3/6 = 1/3?

2/6 = 1/3  ?

1/3 = 1/3   YES

Answer:

a = 5

Step-by-step explanation:

a/6 - 1/2 = 1/3

=> a/6 = 5/6

=> a = 5

Hoped this helped.

Answer:

I don't know if this is right, sorry. I tried my best to determine them, none of them seemed like the would never happen besides the dog one. Have a nice day!

Step-by-step explanation:

a) even chance/ 1/2

b) even chance/ 1/2

c) no chance :(  0

d) even chance/ 1/2

e) even chance/ 1/2

By computing the product between his hourly wage and the number of hours he works per week, we will see that his weekly pay is $876.20

We know that Andrew charges $13.00 per hour, and we know that, in a week, he works for a total of 67.4 hours.

Then the money that he earns each week is just the product between the amount he wins per hour and the number of hours that he works each week.

This gives:

($13.00 h^-1)*(67.4 h) = $876.20

This means that Andrew wins $876.20 per week with this job.

If you want to learn more, you can read:

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Answer:

it cuts it in half

Step-by-step explanation:

and it makes it smaller and therfore it is cut in half hope that helps

Answer:

a = -3

Step-by-step explanation:

-3(a-6)=-(4a-6)-3a

-3a+18 = -4a+6-3a

-3a+18 = -4a-3a+6

-3a+18 = -7a+6

-3a+7a = 6-18

4a = -12

4a/4 = -12/4

a = -3

Answer:

3/4

Step-by-step explanation:

9/12

Divide the top and bottom by 3

9/3 = 3

12/3 = 4

The fraction becomes 3/4

Answer:

a = 7

Step-by-step explanation:

Equation of line : y = mx + b

m = slope

Plug in coordinates:  

Slope = Change in y/Change in X

Slope = 13-4/5-2 = 9/3 = 3

Plug in coordinates:

y - intercept = b

13 = 5(3) + b

13 = 15 + b

b = -2

Equation: y = 3x - 2

Input 3 for x

y = 3x - 2

y = 9 - 2

y = 7

-Chetan K

answer =0.8

Step-by-step explanation:

if y is the cost of x bubble gum where 0.8 is the value for one then o.8 is the unit

The unit cost of bubble gum is $0.8 per pack.

A straight line on a coordinate plane is represented by a linear equation. Y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept, which can be used to represent the equation (the point where the line intersects the y-axis).

The slope of a line, which reflects the steepness of the line, is calculated as the ratio of the change in y to the change in x between any two locations on the line. The line's intersection with the y-axis, or the value of y when x = 0, is known as the y-intercept.

The equation y = 0.8x represents the cost "y" of "x" packs of bubble gum. The coefficient of "x" in this equation is 0.8, which represents the cost per pack of bubble gum.

Therefore, the unit cost of bubble gum is $0.8 per pack.

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Answer:

Obtuse Triangle

Step-by-step explanation:

When there is an angle with a measurement greater than 90 degrees, the triangle is an obtuse triangle.

Answer:

C. $20,660

Step-by-step explanation:

Letter c is the answer

Answer:?

Step-by-step explanation:?

Answer:

its 32 yards if I'm correct

Step-by-step explanation:

I'm not for sure but I remember doing something like this

Answer:

True

Step-by-step explanation:

They can sustain themselves

Answer:

Natural freshwater ecosystems represent the terrestrial phases of the global hydrological cycle and include rivers, streams, lakes, ponds, wetlands, as well as groundwaters.

Answer:

15 seconds

Step-by-step explanation:

Answer: x= 3

Step-by-step explanation:

Answer:

i think it is 234 i am not sure

Step-by-step explanation:

Answer:

The answer is 80 miles 2/23

Step-by-step explanation:

I hope this helps