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
Which number is a factor of 24 but not a multiple of 6
kifflom [539]
I'd say the answer would be 8. 
7 0
3 years ago
Read 2 more answers
Points A and B are on the different sides of a line 1, the distance between point A and the line lis 10 in, the distance between
givi [52]

Answer: Distance between O and the line 1 is 3 inches.

Explanation:

Since we have given that

Distance between point A and the line 1 = 10 inches

Distance between point B and the line 1 = 4 inches

Total length of segment AB is given by

10+4=14\ inches

Since O is midpoint of the line segment AB.

so, AO is given by

\frac{14}{2}=7\ in.

Now, Distance between O and the line 1 is given by

10-7=3\ in.

Hence, Distance between O and the line 1 is 3 inches.

7 0
3 years ago
Where can the medians of a triangle intersect
gizmo_the_mogwai [7]
In side the triangle.  Each median is split in the ratio 2:1 by the intersection.
6 0
3 years ago
Quarter past 7 , what time is it ?
Phoenix [80]
A quarter of an hour is 15 minutes, so a quarter past 7 is 7+15 mins. This gives you:

7:15

Hope this helps and good luck!
3 0
2 years ago
Read 2 more answers
Arrange the hyperbolas in increasing order of the horizontal widths of their asymptote rectangles.
almond37 [142]

The  increasing order of the horizontal widths of their asymptote rectangles is dependent on the values gotten from  y = ± x.

<h3>What is a Hyperbola?</h3>

This is defined as a two-branched open curve formed by the intersection of a plane perpendicular to the bases of a double cone.

The rectangular hyperbola has two asymptotes which are defined as y = ± x in this scenario.

Read more about Hyperbola here brainly.com/question/3351710

#SPJ1

8 0
2 years ago
Other questions:
  • In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the pattern in the sequence if i
    9·1 answer
  • If x/y + y/x = -1 , ( x unequal y, y unequal 0) then the value of x^2 - y^2 is?
    10·2 answers
  • (n-2) 180 divided by n
    7·1 answer
  • 4 9 16 25 36 nth term of the quadratic sequence
    14·1 answer
  • How is blood in the pulmanary artery different from blood in other arteries? QUICK ANSWWER
    8·1 answer
  • What is the eighth term in the arithmetic sequence defined by the explicit formula an=5n+3 ?
    7·1 answer
  • (awarding brainliest) PLS HELP ME i’m not that smart.
    15·1 answer
  • How many £7.50 is there in £217.5?<br>​
    12·1 answer
  • A triangle has a base of x^1/3 m and a height of x^1/2 m. If the area of the triangle is 16 m^2​, what are the base and height o
    6·1 answer
  • Please help asap<br> which inequality is represented by this graph
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!