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
Sliva [168]
3 years ago
5

A study is conducted to determine if a newly designed text book is more helpful to learning the material than the old edition. T

he mean score on the final exam for a course using the old edition is 75. Ten randomly selected people who used the new text take the final exam. Their scores are shown in the table below.
Person A B C D E F G H I J
Score 84 94 80 88 77 68 90 74 96 71

Use a 0.01 significance level to test the claim that people do better with the new edition. Assume the standard deviation is 10.4. (a) What kind of test should be used?

A. One-Tailed
B.Two-Tailed
C.It does not matter.
Mathematics
1 answer:
CaHeK987 [17]3 years ago
5 0

Answer:

We need to conduct a hypothesis in order to check if the mean is higher than 75, the system of hypothesis are :  

Null hypothesis:\mu \leq 75  

Alternative hypothesis:\mu > 75  

A. One-Tailed

z=\frac{82.2-75}{\frac{10.4}{\sqrt{10}}}=2.189  

p_v =P(z>2.189)=0.0143  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

Step-by-step explanation:

Data given and notation  

We have the following data: 84 94 80 88 77 68 90 74 96 71

We can calculate the sample mean with the following formula:

\bar X =\frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X=82.2 represent the sample mean  

\sigma=10.4 represent the population standard deviation  

n=10 sample size  

\mu_o =75 represent the value that we want to test  

\alpha=0.01 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 75, the system of hypothesis are :  

Null hypothesis:\mu \leq 75  

Alternative hypothesis:\mu > 75  

A. One-Tailed

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{82.2-75}{\frac{10.4}{\sqrt{10}}}=2.189  

P-value  

Since is a ONE-TAILED  test the p value would given by:  

p_v =P(z>2.189)=0.0143  

Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

You might be interested in
How do I do these questions?
DedPeter [7]
I just did the first one but I don't know is it correct

5 0
3 years ago
10. Tom bought 3 pairs of socks and a shirt. The total cost was $21.00. The socks cost $2.50 for each pair. How much did the shi
Valentin [98]

Answer:

3x + y = 21

x = 2.5

7.5 + y = 21

y = 13.5

shirt cost $13.50

Step-by-step explanation:

6 0
2 years ago
Solve 2c/15 =8.8. the solution to c is
ArbitrLikvidat [17]
The solution to c is 66
4 0
3 years ago
Rewrite in simplest terms: 5(0.9m+0.5)-3(0.4m+0.7)
hram777 [196]

Answer:

3.3m+1.4

Step-by-step explanation:

Multiply 5 and 0.9m

Multiply 5 and 0.5

5 times 0.9m is 4.5m

5 times 0.5 is 2.5

Multiply -3 and 0.4m

Multiply -3 and 0.7

-3 times 0.4m is -1.2m

-3 times -.7 is -2.1

4.5m+ 2.5 -1.2m-2.1

Which is 3.3m+1.4

Hope this helps!

3 0
2 years ago
Which of the following are solution to 2X squared minus 8X -90
svetlana [45]

Answer:

2(x+5)*(x-9)

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • 719,927 expanded form
    10·1 answer
  • Which multiplication expression is equal to
    6·2 answers
  • Ryan starts at 140 pounds, and gains two pounds per year. Carlos starts at 195 pounds, but loses three pounds per week. In how m
    13·1 answer
  • Gregory knows that ABC is reflected onto A’B’C. What about this figure is true?
    9·1 answer
  • The difference between the areas of the figures is less than 8.
    6·1 answer
  • Please answer see the image below
    13·2 answers
  • Find the solutions to the equation below check all the apply 5x^2+7x-5=0​
    10·2 answers
  • Pls help will give brainliest
    5·2 answers
  • Write the ratio $12 dollars 3 tickets as a unit rate
    9·1 answer
  • An online company earns $4365.90 perday. How much does it earn per second
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!