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
Pavlova-9 [17]
3 years ago
11

An independent-measures research study was used to compare two treatment conditions with n= 12 participants in each treatment. T

he first treatment had a mean of M= 55 with variance s2 = 8, and the second treatment had M= 52 and s2= 4.
a) Use a two-tailed test with Alpha= 0.05 to determine whether these date indicate a significant difference between the two treatments.

b) Use a two-tailed test with Alpha= 0.01 to determine whether these date indicate a significant difference between the two treatments.

c) Use a one-tailed test with Alpha= 0.05 to determine whether these date indicate a significant difference between the two treatments.
Mathematics
1 answer:
Maurinko [17]3 years ago
6 0

Answer:

(a) The data indicate a significant difference between the two treatments.

(b) The data do not indicate a significant difference between the two treatments.

(c) The data indicate a significant difference between the two treatments.

Step-by-step explanation:

Null hypothesis: There is no difference between the two treatments.

Alternate hypothesis: There is a significant difference between the two treatments.

Data given:

M1 = 55

M2 = 52

s1^2 = 8

s2^2 = 4

n1 = 12

n2 = 12

Pooled variance = [(n1-1)s1^2 + (n2-1)s2^2] ÷ (n1+n2-2) = [(12-1)8 + (12-1)4] ÷ (12+12-2) = 132 ÷ 22 = 6

Test statistic (t) = (M1 - M2) ÷ sqrt [pooled variance (1/n1 + 1/n2)] = (55 - 52) ÷ sqrt[6(1/6 + 1/6)] = 3 ÷ 1.414 = 2.122

Degree of freedom = n1+n2-2 = 12+12-2 = 22

(a) For a two-tailed test with a 0.05 (5%) significance level and 23 degrees of freedom, the critical values are -2.069 and 2.069.

Conclusion:

Reject the null hypothesis because the test statistic 2.122 falls outside the region bounded by the critical values.

(b) For a two-tailed test with a 0.01 (1%) significance level and 23 degrees of freedom, the critical values are -2.807 and 2.807.

Conclusion:

Fail to reject the null hypothesis because the test statistic 2.122 falls within the region bounded by the critical values.

(c) For a one-tailed test with 0.05 (5%) significance level and 23 degrees of freedom, the critical value is 1.714.

Conclusion:

Reject the null hypothesis because the test statistic 2.122 is greater than the critical value 1.714.

You might be interested in
Can someone please help me with these questions!! Thanks,
fiasKO [112]

6a. 1 - 2sin(x)² - 2cos(x)² = 1 - 2(sin(x)² +cos(x)²) = 1 - 2·1 = -1

6c. tan(x) + sin(x)/cos(x) = tan(x) + tan(x) = 2tan(x)

6e. 3sin(x) + tan(x)cos(x) = 3sin(x) + (sin(x)/cos(x))cos(x) = 3sin(x) +sin(x) = 4sin(x)

6g. 1 - cos(x)²tan(x)² = 1 - cos(x)²·(sin(x)²)/cos(x)²) = 1 -sin(x)² = cos(x)²

8 0
3 years ago
Maria takes 2 hours to plant 50 flower bulbs. Lois takes 3 hours to plant 45 flower bulbs. Working together, how long should it
kherson [118]

Answer:

Maria:  (50 bulbs)/(2 hours) = 25 bulbs/hour

Lois:  (45 bulbs)/(3 hours) = 15 bulbs/hour

Together:  25 + 15 = 40 bulbs/hour

(150 bulbs)/(40 bulbs per hour) = 3 3/4 hours

(3/4 hours)(60 minutes/hour) = 45 minutes

Total time:  3 hours 45 minutes

6 0
2 years ago
Read 2 more answers
Please help I will give brainliest.
Kay [80]
(2,0) and (-1/2,0) is the correct answer
3 0
1 year ago
Read 2 more answers
21.4.2 Quiz: Introduction to Proofs
attashe74 [19]

Answer:

B. A conclusion proved by deductive reasoning

Step-by-step explanation:

Other brainly users also said the same thing

4 0
1 year ago
Which of the following equations could be used to find the missing measurement in this triangle?
Kipish [7]
<span>the answer is 352 + 372 = a2</span>
4 0
3 years ago
Other questions:
  • In the diagram below AC is perpendicular to BD find x show all work
    5·2 answers
  • A 270 feet escalator is leaning against a wall and makes a 53 angle with the floor. How high does the escalator reach the wall
    10·1 answer
  • Write this number in expanded form 73,489
    14·2 answers
  • What is 10 x 3 1/6 awnser plz
    9·1 answer
  • 5. Skylar got a manicure for $25. If she plans to<br> tip 20%, how much is her tip?
    13·2 answers
  • An airplane travels 6200 kilometers against the wind in 8 hours and 6840 kilometers with the wind in the same amount of time. Wh
    8·1 answer
  • What paper is that ?
    14·1 answer
  • On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a s
    13·1 answer
  • 3( c - 4 )= <br><br> I need help some one please help me
    10·1 answer
  • The Bainter family is moving to a new town and needs a place to live. The Bainters are considering renting or purchasing a home
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!