1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elden [556K]
3 years ago
5

A group of eight individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. C

holesterol levels, in mg/dL, were measured before and after treatment for each individual, with the following results: | | | | Subject | 1 | 2 Before 283 299 After 215 206 3 274 187 | 4 284 212 5 248 178 | 6 275 212 7 | 8 293 277 192 196 (a) Is this a matched pairs design/experiment? Explain briefly. (b) Using the appropriate hypothesis/significant test procedure, can you con- clude that the mean cholesterol level after treatment is less than the mean before treatment?
Mathematics
1 answer:
noname [10]3 years ago
6 0

Answer:

Step-by-step explanation:

The data in the question is not well arranged. The correct arrangement is:

Before After difference

283 215

299 206

274 187

284 212

248 178

275 212

293 192

277 196

Solution:

a) This is a matched pair design/experiment. This is so because the measurement of cholesterol levels were carried out on the same individuals.

b) Corresponding cholesterol levels before and after treatment form matched pairs.

The data for the test are the differences between the cholesterol levels before and after treatment.

μd = cholesterol level before treatment minus cholesterol level after treatment.

Before After difference

283 215 68

299 206 93

274 187 87

284 212 72

248 178 70

275 212 63

293 192 101

277 196 81

Sample mean, xd

= (68 + 93 + 87 + 72 + 70 + 63 + 101 + 81)/8 = 79.4

xd = 79.4

Standard deviation = √(summation(x - mean)²/n

n = 8

Summation(x - mean)² = (68 - 79.4)^2 + (93 - 79.4)^2 + (87 - 79.4)^2 + (72 - 79.4)^2 + (70 - 79.4)^2 + (63 - 79.4)^2 + (101 - 79.4)^2 + (81 - 79.4)^2 = 1253.88

Standard deviation = √(1253.88/8)

sd = 12.52

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

This is a one tailed test(left tailed test)

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 8 - 1 = 7

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (79.4 - 0)/(12.52/√8)

t = 17.94

We would determine the probability value by using the t test calculator.

p < 0.00001

4) Assume alpha = 0.05

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at 5% level of significance, we cannot conclude that the mean cholesterol level after treatment is less than the mean before treatment.

You might be interested in
What property is this: 3 * 1/3 = 1
Rama09 [41]

Answer:

Inverse property of multiplication

3 0
2 years ago
emilio build and sells homemade wooden toy for $12 each the festival he is attending charges $50 to set up his Booth how much mo
Salsk061 [2.6K]

Emilio will earn $334.

12*32=384 --> amount of money he earns from selling

384-50 --> subtract the amount the festival charges

=334 --> final profit


<u>Please mark this answer as the Brainliest if it helped! Thank you.</u>

3 0
3 years ago
Read 2 more answers
What is the value of c in the equation below? 2^-4(2^2)=a^b=c
Triss [41]

Answer:

The answer is option 4.

Step-by-step explanation:

You have to use Indices Law,

{a}^{m}  \times  {a}^{n}  =  {a}^{m + n}

{a}^{ - n}  =  \frac{1}{ {a}^{n} }

So for this question :

{2}^{ - 4}  \times  {2}^{2}

=  {2}^{ - 4 + 2}

=  {2}^{ - 2}

{a}^{b}  = c \\ c =  {2}^{ - 2}

c =  \frac{1}{ {2}^{2} }

c =  \frac{1}{4}

5 0
3 years ago
What is the t-intercept of the line shown below?
larisa86 [58]

Answer:

the y intercept is 2

Step-by-step explanation:

its when the slope passes through the y-axis

6 0
3 years ago
PLEASE HELP ME I NEED ANSWERS
kolezko [41]
70 is the area of the polygon
5 0
2 years ago
Other questions:
  • Each of a certain type of tire on a 4 wheel car lasts exactly 10,000 miles. How many spare tires of this same variety must carri
    11·1 answer
  • On a winter day in Alaska, the temperature at noon was -0.6°C. From noon to 3:00, the temperature increased by 1.2°C. From 3:00
    6·1 answer
  • To the nearest tenth, what is the area of the shaded segment when BN = 8 ft?
    9·1 answer
  • Which statement makes the best open sentence 12 + 3x = 30 true?
    15·1 answer
  • Triangle<br> a = 5, b = 10, c =
    7·2 answers
  • Guy's y'all plzz answer this who knows about it...and also exam is near​
    7·1 answer
  • Solve for x <br><br> I don’t have much time pls help. Round to the nearest hundredth
    14·1 answer
  • What number is grater than 1 but less than 7
    9·1 answer
  • PLS HELPjakaiajajajakakakaaka
    7·2 answers
  • If seven out of every thirteen trick-or-treaters that came to your house last Halloween were dressed as Buzz Lightyear, what pro
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!