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
Katen [24]
2 years ago
10

26. Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics

course. Then they are given a post-test once the professor has concluded lecturing on the material. Pre-test and post-test scores for 4 students in an elementary statistics class are given below. Can it be concluded that the test scores have improved? The standard deviation is 6.02. Use α = .05.
Pre-test 65 70 75 84
Post-test 80 82 85 85
Difference 15 12 10 1

a. Hypotheses:




b. Test Statistic:






c. Critical Value(s):





d. Decision:






e. Conclusion:
Mathematics
1 answer:
hjlf2 years ago
7 0

The test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.

<h3>What are null hypotheses and alternative hypotheses?</h3>

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics course.

Then they are given a post-test once the professor has concluded lecturing on the material.

Pre-test and post-test scores for 4 students in an elementary statistics class are given below.

Then we have

\mu _d = \mu _{post} - \mu _{pre}

Then the null hypotheses and alternative hypotheses will be

H₀: \mu _d = 0

Hₐ: \mu _d > 0

Then the test statistic will be

\rm \overline{x} _d = \dfrac{\Sigma x_d}{n} = \dfrac{15+12+10+1}{4}\\\\\overline{x} _d = 9.5

Then

\rm S_d = 6.02

The test statistic value is given by

\rm t = \dfrac{\overline{x} _d }{\dfrac{S_d}{\sqrtn}} \\\\t = \dfrac{9.5}{\dfrac{6.02}{\sqrt4}}\\\\t = 3.16

Since this is a right-tailed test, so the critical value is given by

\rm t_{n-1}(\alpha ) = t_3 (0.05) = 2.353

Since the test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.

Hence, we can conclude that \mu _d > 0 that is test scores have improved.

More about the null hypotheses and alternative hypotheses link is given below.

brainly.com/question/9504281

#SPJ1

You might be interested in
what is the volume of is a rectangular prism that is 14 inches long, 7 inches wide, and 10 inches high?
igomit [66]

Answer:

Step-by-step explanation:

980

7 0
2 years ago
An auto mechanic knows the average time it takes to replace a defective car radiator is 70 minutes with a standard deviation of
horsena [70]
<span>Given that the average time it takes to replace a defective car radiator is 70 minutes with a standard deviation of 12 minutes.

The 90% confidence interval of a random sample of 50 is given by

90\% \ C.I.=70\pm1.645 \frac{12}{\sqrt{50}}  \\  \\ \Rightarrow 70+1.645 \frac{12}{\sqrt{50}} \ and \ 70-1.645 \frac{12}{\sqrt{50}}</span>
8 0
3 years ago
What is 4% of 50,000
tamaranim1 [39]
4% of 50000
(4/100) * 50000
2000
7 0
3 years ago
Read 2 more answers
What is the length of MN
dexar [7]
15, because angle L and N are equal, 3x=x+10 so x=5, plugging it in, we get that MN is 15
8 0
3 years ago
Read 2 more answers
F(5)=3|x+11|-4, find f(5)
deff fn [24]

Answer:

f(5) = 44

Step-by-step explanation:

f(x) = 3|x+11| -4

let x =5

f(5) = 3|5+11| -4

     = 3|16| -4

      = 3*16 -4

    = 48 -4

   = 44

5 0
3 years ago
Read 2 more answers
Other questions:
  • 15.3+x=1.3-x so how do I solve it
    14·2 answers
  • Calculate the sum of the series:<br> π²/3!-π^4/5!+π^6/7!-π^8/9!+π^10/11!....
    7·1 answer
  • Shawn wants to buy a pair of polo boots they cost 149.56 he must earn 65% of the money from shoveling snow how much money does h
    6·1 answer
  • What is a fixed percent of the principal?
    8·1 answer
  • -x+5y=5 graph linear equation
    9·1 answer
  • Will give brainliest to whoever answers correctly.
    11·2 answers
  • Help!!! please and thank you :)
    12·2 answers
  • A middle school took all of its 6th grade students on a field trip to see a symphony at
    15·1 answer
  • If BTS=GHD BS=25 TS=14 BT=31 GD=4x-11 S=56 B=21 and H=(7y+5) find the values of x and y
    10·1 answer
  • Solve this simultaneous equation<br> 4x+3y=18<br> x-3y=7
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!