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
eimsori [14]
3 years ago
5

We wish to give a 90% confidence interval for the mean value of a normally distributed random variable. We obtain a simple rando

m sample of 9 elements from the population on which the variable is defined. The sample has a mean value of 10.2 and a sample standard deviation 1.5. Find the 90% confidence interval for the mean value.
Mathematics
1 answer:
coldgirl [10]3 years ago
6 0

Answer: (9.27025,\ 11.12975)

Step-by-step explanation:

Given : Sample size : n= 9

Degree of freedom = df =n-1 =8

Sample mean : \overline{x}=10.2

sample standard deviation : s= 1.5

Significance level ; \alpha= 1-0.90=0.10

Since population standard deviation is not given , so we use t- test.

Using t-distribution table , we have

Critical value = t_{\alpha/2, df}=t_{0.05 , 8}=1.8595

Confidence interval for the population mean :

\overline{x}\pm t_{\alpha/2, df}\dfrac{s}{\sqrt{n}}

90% confidence interval for the mean value will be :

10.2\pm (1.8595)\dfrac{1.5}{\sqrt{9}}

10.2\pm (1.8595)\dfrac{1.5}{3}

10.2\pm (1.8595)(0.5)

10.2\pm (0.92975)

(10.2-0.92975,\ 10.2+0.92975)

(9.27025,\ 11.12975)

Hence, the 90% confidence interval for the mean value= (9.27025,\ 11.12975)

You might be interested in
Please help me please
Murljashka [212]

Answer:

its no big deal

Step-by-step explanation:

no big deal.

5 0
3 years ago
The Barkers started their trip with a full tank of gas and a total of 39,872 miles on their car. They stopped 4 hours later and
lara [203]

Answer:

27.5 miles per gallon

Step-by-step explanation:

3 0
2 years ago
Are the ratios 7:5 and 11:10 equivalent
Gekata [30.6K]
No because I said so I didn’t even care what about the money that was
3 0
3 years ago
Is this correct? Pls help within 10 minutes will mark brainliest
Vedmedyk [2.9K]

Answer:

the first answer is correct

the second answer is correct if they messed up on the question and meant to ask for the MAD of set B

I think the 3rd answer is incorrect (I got 1.09), so you might want to double-check your 3rd answer since it is asking for "times bigger", not how much bigger, which means how many times larger is the MAD of set A than that of set B and to find how many times bigger a number is than another number, you have to divide the first number by the second number.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
It also detects if you are right or wrong
kap26 [50]

Answer:

50

Step-by-step explanation:

all your doing is dividing 100 by 20 and u get 50

6 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
    10·1 answer
  • 172,090=171,090+? <br>I am confused with my son homework
    14·2 answers
  • Solve the equation 3x-4y=16 for x
    11·2 answers
  • What is 5 1/3 + 6 1/6
    9·1 answer
  • Matthew biked for 4 days across an island. He started at the shoreline, which is at an elevation of 0 feet. At the end of day 1,
    11·1 answer
  • Which equation would find the distance between the<br> two points show on the coordinate plane?
    14·2 answers
  • The New York Rangers hockey team won 3/4 of their games last season. How many games did they win if they played 112 games that s
    9·1 answer
  • PLZ HELP QUICKLY THANK YOU
    13·2 answers
  • Let X be the percentage score on a college-entrance exam for students who did not participate in an exam-preparation seminar. X
    14·1 answer
  • There are 2 questions on this assignment that i really need help with
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!