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
Whitepunk [10]
3 years ago
9

A random sample of 49 statistics examinations was taken. the average score, in the sample, was 84 with a variance of 12.25. the

95% confidence interval for the average examination score of the population of the examinations is
Mathematics
1 answer:
tester [92]3 years ago
6 0

Since in this case we are only using the variance of the sample and not the variance of the real population, therefore we use the t statistic. The formula for the confidence interval is:

<span>CI = X ± t * s / sqrt(n)                      ---> 1</span>

Where,

X = the sample mean = 84

t = the t score which is obtained in the standard distribution tables at 95% confidence level

s = sample variance = 12.25

n = number of samples = 49

From the table at 95% confidence interval and degrees of freedom of 48 (DOF = n -1), the value of t is around:

t = 1.68

 

Therefore substituting the given values to equation 1:

CI = 84 ± 1.68 * 12.25 / sqrt(49)

CI = 84 ± 2.94

CI = 81.06, 86.94

 

<span>Therefore at 95% confidence level, the scores is from 81 to 87.</span>

You might be interested in
What is 247,039 rounded to the nearest thousand
omeli [17]
Pretty sure the answer is 247,000
5 0
3 years ago
Read 2 more answers
Find the slope of the graphed line
MArishka [77]

Answer:

The slope is -2 full equation is y = -2x -2

7 0
2 years ago
6,500 acres of a 41,000 acre forest burned in a fire. what percentage of forest was damaged?​
Tems11 [23]

Answer:

15.85%

Step-by-step explanation:

Given:

Acres damaged (burned) = 6,500 acres

Acres in total forest = 41,000 acres

Hence the amount of damaged forest as a fraction of the total forest,

= \frac{6500}{41000} = \frac{13}{82}

expressed as percentage = \frac{13}{82} x 100% = 15.85%

8 0
3 years ago
The population of a town is 32600 about 27% are over 60 years old about 19% are 16 or under how many are between 16 and 60
r-ruslan [8.4K]
Answer: 17604

Explanation: In order to find a percentage, mulptiply the population by the percentage with a decimal in front. Like this:

32600 • .46

I got 46 because 27 + 19 = 46

Once you get that answer, subtract it from the original total

32600 - 14996 = 17604

You're done! Hope this helps



3 0
3 years ago
Soh - Cah - Toa (finding missing sides and angles):
algol [13]
Hey i don’t wanna do math right now but there’s a link that i could post in the comments if you want it
7 0
2 years ago
Other questions:
  • Find the difference?
    13·2 answers
  • PLEASE HELP WILL MARK BRAINLIEST AND 100 POINTS
    5·2 answers
  • What is the determinant of an elementary row replacement matrix?
    14·1 answer
  • Scientific notaion of 864,000,000,000
    14·1 answer
  • If mangleT = (7x − 14)°, find the measure of the following.<br><br><br> Complement of angleT.
    8·1 answer
  • What is the perimeter of polygon ABCDEF
    8·2 answers
  • A construction job for gallery 10 painters were tasked with painting the interior these painters made up 40% of the painting cre
    9·1 answer
  • Solve the equation. Check your solution. - 6y + 5 = 29y - 2​
    5·2 answers
  • Simultaneous equations <br> 3x + y = 8<br> x - 3y = 11
    8·1 answer
  • Consider the two functions which statement is true
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!