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Fiesta28 [93]
3 years ago
10

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 99​% confidence level. What does the confidence interval tell about the population of all college students in the​ state? 4.0​, 3.1​, 3.8​, 4.5​, 3.0​, 4.4​, 3.5​, 4.6​, 4.2​, 4.1​, 4.6​, 3.9​, 3.5​, 4.0​, 3.9
Mathematics
2 answers:
Klio2033 [76]3 years ago
4 0

Answer:

Step-by-step explanation:

Dont know

Luba_88 [7]3 years ago
4 0

Given Information:

population size = N = 15

Confidence level = 90%

Required Information:

confidence interval = ?

Answer:

confidence interval = (3.88, 4.26)

Step-by-step explanation:

The confidence interval can be found by

confidence interval = μ ± (tα/2)*ο/√N

Where μ is the mean of population, ο is standard deviation of population, N is the population size and tα/2 is the t score corresponding to

α = 100% - 99%

α = 1%

α = 0.01

degree of freedom = N - 1

degree of freedom = 15 - 1

degree of freedom = 14

From the t-table, the t-score for 99% confidence level and 14 DoF is

tα/2 = 2.977

The mean of the population is given by

Mean = μ = ∑(xi)/N

μ = (4.0​+3.1​+3.8+​4.5​+3.0​+4.4​+3.5​+4.6​+4.2​+4.1​+4.6​+3.9​+3.5​+4.0​+3.9)/15

μ = 61.05/15

μ = 4.07

The standard deviation of the population is given by

ο = √∑(xi - μ)²/(N - 1)

ο = 0.25

confidence interval = μ ± (tα/2)*ο/√N

confidence interval = 4.07 ± (2.977)*0.25/√15

confidence interval = 4.07 ± 0.19

upper limit = 4.07 + 0.19 = 4.26

lower limit = 4.07 - 0.19 = 3.88

confidence interval = (3.88, 4.26)

We are 90% confident that the student evaluation ratings of courses are from 3.88 to 4.26 that were obtained at one university in a state.

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Step-by-step explanation:

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On a number​ line, suppose point E has a coordinate of -4 ​, and EG = 13. What are the possible coordinates of point​ G?
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Answer:

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Step-by-step explanation:

Hello!

The distance can be positive or negative, as we are just counting the number of units they are apart.

To find the possible coordinates for G, we can add or subtract 13 from -4 to find the possible coordinates for G.

<h3>Find G</h3>
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Linda and Juan went shopping. Linda spent $14 less than Juan.
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Step-by-step explanation:

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A submarine is 105 ft below the surface of the water, and it begins to ascend at a rate of 3 ft per min. After how many min will
guapka [62]

Answer:

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Step-by-step explanation:

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In order to figure out slope-intercept form you need 1 coordinate and the slope.
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