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It can be concluded that the mean cholesterol level after treatment is less than the mean before treatment.

Let the hypothesis be:

H₀: The difference in the mean is less than or equal to 0.

H₁: The difference in the mean is greater than 0.

Here, the sample size, n = 8.

Assume, α = 0.05.

First, find the mean of the differences.

[tex]\bar{d}=\frac{(283-215)+(299-206)+...+(277-196)}{8}[/tex]

  [tex]=79.375[/tex]

Now, the standard deviation of the difference is:

[tex]s_d=\sqrt{\frac{(68-79.375)^2+...+(81-79.375)^2}{8-1}}[/tex]

   [tex]=13.3838[/tex]

The t value is:

[tex]t=\frac{\bar{d}}{\frac{s_d}{\sqrt{n}}}[/tex]

 [tex]=16.7745[/tex]

Now, the degree of freedom is 8 - 1 = 7.

The p-value corresponding to this is 0.0005, which is less than the value of 0.05.

So, reject H₀.

Hence, it can be concluded that the mean cholesterol level after treatment is less than the mean before treatment.

Learn more about t-value here :

https://brainly.com/question/31475463

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Answer:

22

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

cancer the worst

Step-by-step explanation:

Answer:

n+6

Step-by-step explanation:

Chang is 6 inches taller then Nancy so you must add 6 inches to Nancy's height to figure out Chang's height.

Answer:

it's n+6

Step-by-step explanation:

nancys height is unknown so n is the variable and Chang is 6 inches taller so you add Nancy's height plus 6

Answer:

Step-by-step explanation:

The null hypothesis and alternative hypothesis can be formulated as:

[tex]\mathbf{H_o: P_1 - P_2 \le 0}[/tex]

[tex]\mathbf{H_1 : P_1 -P_2> 0}[/tex]

From the information given:

The sample proportion of rooms occupied for the current year.

[tex]P_1 = \dfrac{1470}{1750}[/tex]

[tex]P_1 = 0.84[/tex]

Sample size [tex]n_1[/tex] = 1750 (total number of rooms for the current year)

The sample proportion of rooms occupied for the previous year.

[tex]P_2 = \dfrac{1440}{1800}[/tex]

[tex]P_2 =0.8[/tex]

Sample size [tex]n_2[/tex] = 1800 (total number of rooms for the previous year)

Thus, the estimated proportion of the hotel rooms occupied each year are:

Current     Previous

0.84            0.80

Since this is a one-sided right-tailed test;

The pooled proportion can  be computed as:

[tex]\hat p= \dfrac{p_1 \times n_1 + p_2 \times n_2}{n_1 + n_2}[/tex]

[tex]\hat p= \dfrac{0.84 \times 1750 + 0.80 \times1800}{1750 +1800}[/tex]

[tex]\hat p=0.8197[/tex]

The standard error SE = [tex]\sqrt{\hat p ( 1- \hat p) ( \dfrac{1}{n_1} + \dfrac{1}{n_2} )}[/tex]

[tex]= \sqrt{0.8197 ( 1-0.8197) ( \dfrac{1}{1750} + \dfrac{1}{1800} )}[/tex]

[tex]= \sqrt{0.8197 ( 0.1803) (0.00112698 )}[/tex]

[tex]=0.0129[/tex]

Finally, the test statistics is calculated as:

[tex]Z_{calc} = \dfrac{(0.84 - 0.8)}{0.0129}[/tex]

[tex]Z_{calc} = 3.101[/tex]

Answer:

Step-by-step explanation:

Given that:

For PCC

The sample size [tex]n_1[/tex] = 25

sample mean [tex]\overline x_1[/tex] = 75

standard deviation [tex]s_1[/tex] = 17.50

For ELAC

The sample size [tex]n_2[/tex] = 20

Sample mean [tex]\overline x_2 = 89[/tex]

Standard deviation [tex]s_2[/tex] = 14.40

Significance level = 0.05

The null hypothesis:

[tex]H_o : \mu_1 =\mu_2[/tex]

The alternative hypothesis;

[tex]H_1 : \mu_1< \mu_2[/tex]

Since the population standard deviation are synonymous pooled standard deviation; Then:

[tex]sp = \sqrt {\dfrac {(n_1-1)s_1^2)+(n_2-1)s_2^2 }{n_1+n_2-2}[/tex]

[tex]sp = \sqrt {\dfrac {(25-1)17.50^2)+(20-1)14.40^2 }{25+20-2}[/tex]

[tex]sp = 16.20[/tex]

The test statistics can be computed as:

[tex]t = \dfrac{\overline x_1 -\overline x_2}{sp \times \sqrt{\dfrac{1}{n_1} + \dfrac{1}{n_2} }}[/tex]

[tex]t = \dfrac{75-89}{16.20 \times \sqrt{\dfrac{1}{25} + \dfrac{1}{20} }}[/tex]

[tex]t = -2.88[/tex]

The p-value [tex]= P(t_{n_1+n_2-1} <t)[/tex]

[tex]= P(t_{43} <-2.88)[/tex]

= 0.0031

Decision Rule: To reject the null hypothesis if the p-value is less than the significance level

Conclusion: There is sufficient evidence to conclude that the mean amount spent by all PCC students is less than the mean amount spent by all ELAC students.

Answer:

-1

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2+2=4

Answer:

Step-by-step explanation:

when (x,y) is rotated through 180 then new coordinates are (-x',-y')

G(6,4)→G'(-6,-4)

Answer:

It is 50 miles to Republic City so they must have started in the western earth kingdom

Step-by-step explanation:

only nerds will get this but the answer is B

Answer:

Step-by-step explanation:

48

Answer:

3/5

you get this by dividing 24 to both sides of 72/120

Answer:

$547.20

Step-by-step explanation:

Answer:

EFLKWFFELWKMFEWLMWEFL

Step-by-step explanation:

Answer: Positive and negative 8

Step-by-step explanation:

Take the square root on both sides

[tex]\sqrt{x^2} =\sqrt{64}[/tex]

x = ±8

Answer:

x = - 8, x = 8

Step-by-step explanation:

[tex] {x}^{2} = 64 \\ \\ x = \pm \sqrt{64} \\ \\ x = \pm8 \\ \\ x = - 8, \: \: x = 8[/tex]

Answer:

8.,15,17

Step-by-step explanation:

use pythagoras theorem formula

Answer:

Answer is 6.125

Step-by-step explanation:

I hope it's helpful!

Answer:

I think the answer is True!

Step-by-step explanation:

Hope this helps

Answer:

true

Step-by-step explanation:

a negative times a negative is a positive same with dividing a negative by a negative

a positive times a negative is also negative

Answer:

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

Step-by-step explanation:

Answer:

Opposite to the 90 degree angle.

Step-by-step explanation:

the hypotenuse is always the longest side with right triangles its always opposite of the right angle

Answer:

x = 1

y = 7

Step-by-step explanation:

Two equations, two unknowns. We know that y = 7x so we can substitute that into the first equation to get:

[tex]-5+2\left(7x\right)=9[/tex]

[tex]-5+14x=9[/tex]

[tex]14x=14[/tex]

This gives us x = 1.

Now plug this bag into either equation to find y, I will use the second since it's easier:

y = 7(1) = 7

Answer:

B and D it ez

Step-by-step explanation:

Problem 1

-------------------------------------

Explanation:

1/4 = 0.25

She eats 25% of a pizza in 12 minutes

We can form the ratio 0.25/12

This ratio is then set equal to x/18. The value of x represents what proportion of the pizza is eaten after 18 minutes.

Solve for x

0.25/12 = x/18

0.25*18 = 12x ..... cross multiply

4.5 = 12x

12x = 4.5

x = 4.5/12

x = 0.375

x = 375/1000

x = (125*3)/(125*8)

x = 3/8

She ate 3/8 of the whole pizza in 18 minutes.

There are 8 slices in a full pizza, so (3/8)*8 = 3 means that she ate 3 slices.

Or you could say "eating 3 slices out of 8 total means she ate 3/8 of the full pizza".

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

Problem 2

-------------------------------------

Explanation:

We'll use the same idea as before. Though now we're setting 0.25/12 equal to x/30

Solving for x leads to...

0.25/12 = x/30

0.25*30 = 12x

7.5 = 12x

12x = 7.5

x = 7.5/12

x = 0.625

x = 625/1000

x = (125*5)/(125*8)

x = 5/8

She will eat 5/8 of the pizza in 30 minutes.

Answer:

3.25

Step-by-step explanation:

[tex] \frac{2.9 + 3.6}{2} \\ \\ = \frac{6.5}{2} \\ \\ = 3.25[/tex]

Answer:

4 miles

Step-by-step explanation:

30-18=12

12÷3=4

hope this helped :)

Answer: angle 1 and 7

Step-by-step explanation: you just do it

Answer:

C

Step-by-step explanation:

they need the answer in exponential form i.e should have an index or power

Answer:

We cannot see the questions on top

Answer:

37.94

Step-by-step explanation:

not sure if this is what you need but if you use Pythagoras therom you should get there

a^2 + b^2= c^2

12^2+36^2=c^2

12^2+36^2= 1440

the square root of 1440 is 37.9433192