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
aleksklad [387]
3 years ago
9

Listed below are student evaluation ratings of​ courses, where a rating of 5 is for​ "excellent." The ratings were obtained at o

ne university in a state. Construct a confidence interval using a 90​% confidence level. What does the confidence interval tell about the population of all college students in the​ state?
3.9

3.1

3.7

4.4

3.2

4.1

3.3

4.4

4.3​,

4.4

4.5

3.9

3.2​

4.2,

4.0

USING EXCEL

What is the confidence interval for the population mean

muμ​?

What is the confidence interval for the population mean

muμ​?

<

​(Round to two decimal places as​ needed.)

What does the confidence interval tell about the population of all college students in the​ state? Select the correct choice below​ and, if​ necessary, fill in the answer​ box(es) to complete your choice.

A.

The results tell nothing about the population of all college students in the​ state, since the sample is from only one university.

B.We are 90​%

confident that the interval from

to actually contains the true mean evaluation rating.

​(Round to one decimal place as​ needed.)

C.

We are confident that

90​%

of all students gave evaluation ratings between

and .

​(Round to one decimal place as​ needed.)

Mathematics
2 answers:
Keith_Richards [23]3 years ago
8 0

Answer:

The Confidence Interval is 3.68 to 4.13 at 90% Confidence Level

Option A is correct: "The results tell nothing about the population of all college students in the​ state, since the sample is from only one university."

Since these course ratings were obtained from one university only, it cannot be extended to represent students from all universities in that state because a number of different factors will create a different experience for the students in other universities.

Step-by-step explanation:

Using excel, the mean for the given data was found to be 3.91 and the

Confidence Level (at 90.0%) was found to be 0.23 (correct to 2 decimal places)

To calculate the confidence interval for the population mean, you simply need to work out the lower and upper bounds for the mean value. Just subtract the confidence level from the mean and add the confidence level to the mean

Lower Bound: 3.91 - 0.23 = 3.68

Upper Bound: 3.91 + 0.23 = 4.13

Hope that answers the question. Have a great day!

olga nikolaevna [1]3 years ago
7 0

Given Information:

Confidence level = 90%

population size = 15

Required Information:

confidence interval for the population mean = ?

Answer:

confidence interval for the population mean = 3.74 < μ < 4.13

Step-by-step explanation:

We can find the confidence interval in excel using

confidence interval = μ ± confidence    

Where μ is the mean of population and confidence is given by

CONFIDENCE(alpha, standard deviation, population size)

Where alpha is

alpha = 100% - Confidence level

alpha = 100% - 90%

alpha = 10%

alpha = 0.10

So we need to find mean and standard deviation first,

The population mean can be found by using AVERAGE(values) function in excel

The function returns a mean of

μ = 3.93

The standard deviation of population can be found by using STDEV.P(values) function in excel

The function returns a standard deviation of

ο = 0.46

Now the confidence value can be found

CONFIDENCE(alpha, standard deviation, population size)

CONFIDENCE(0.10, 0.46, 15)

The function returns confidence value of

confidence = 0.20

Therefore, the confidence interval is

confidence interval = μ ± confidence

confidence interval = 3.93 ± 0.20

Upper limit = 3.93 + 0.20 = 4.13

Lower limit = 3.93 - 0.20 = 3.74

confidence interval = 3.74 < μ < 4.13

This confidence interval tell us that we are 90% confident that the student evaluation ratings of​ courses are from 3.74 to 4.13 that were obtained at one university in a state.

You might be interested in
5/6x-4=-2 Sole the equation, thanks!
ira [324]
5/6x -4 = -2
5/6x = 2
multiply both sides by 6 to get rid of the fraction.
5x = 12
x = 2.4
8 0
3 years ago
Read 2 more answers
Find the midpoint of the segment with endpoints of −11 + i and −4 + 4i.
Norma-Jean [14]
The average of those two values is
  (-11-4 +i+4i)/2 = -(15/2) +(5/2)i
3 0
3 years ago
Read 2 more answers
A girl scout was selling boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of p
Katena32 [7]

Answer:

Number of plain cookie boxes sold = 785 boxes

Step-by-step explanation:

Given: Cost of a chocolate chip cookie box = $1.25

Cost of a plain cookie box = $0.75

Total number of boxes sold = 1585

Total cost of the sold boxes = $1588.75

Let, number of plain cookie boxes sold = x

Number of chocolate chip cookie boxes sold = 1585 - x

So,

Total cost = total cost of the sold plain cookie boxes + total cost of the sold chocolate chip cookie boxes

$1588.75 = x ($0.75) + (1585 - x) ($1.25)

1588.75 = 0.75 x + 1981.25 - 1.25 x

0.5 x = 392.5

Therefore,

<u>Number of plain cookie boxes sold: x = 392.5 ÷ 0.5 = 785 boxes</u>

3 0
3 years ago
Read 2 more answers
What is the value of n when 7n – 18 = 5n + 6?
kirill [66]

Answer:

n=12

Step-by-step explanation:

7n-18 =5n+6

+18 to both sides

7n=5n+24

-5n from both sides

2n=24

divide by 2

n=12

3 0
3 years ago
Read 2 more answers
Point T is at (−2, 5). What are the coordinates of point T' after Ry-axis ∘ Rx-axis?
MA_775_DIABLO [31]

Answer:

Should be 2, -5

Step-by-step explanation:

you flip –2, 5 along y axis, then get 2, 5

then flip 2, 5 along x axis and get 2, -5

feel free to correct  

7 0
3 years ago
Other questions:
  • Can you help me with this problem, please
    13·1 answer
  • 5 times 60 equals 5 times how many tens
    5·1 answer
  • How many square units are in an office that is 13 units by 9 units?
    8·2 answers
  • Find the distance between 2 and -2.
    13·1 answer
  • Write an equation for the simple harmonic motion of a ball on a spring that starts at its lowest point of 6 inches below equilib
    5·1 answer
  • A 6 oz paper cup is shaped like a cone with a diameter of 4 inches. How many ounces of water will a plastic cylindrical cup with
    5·1 answer
  • Please I need help I’m not good at math
    5·1 answer
  • Help pleasseee •-•
    15·1 answer
  • (I'll be giving brainliest and extra points to who ever helps me!!)
    7·2 answers
  • Set B = {55, 57, 58, 59, 61}. Which number in set B has the smallest prime factor?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!