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Dennis_Churaev [7]
3 years ago
7

A professor has noticed that, even though attendance is not a component of the final grade for the class, students that attend r

egularly generally get better grades. In fact, 57% of those who come to class on a regular basis receive A's. Only 16% who do not attend regularly get A's. The long run attendance rate is 81%. Based on this class profile find the following:__________
A) The percent who get A's given that they attend class regularly
B) The percent who get A's given that they do not attend class regularly
C) The overall percent of the students who get A's in the class
D) The percent who attend class regularly given that they get A's
Mathematics
1 answer:
andrew11 [14]3 years ago
4 0

Answer:

A) 57%

B) 16%

C) 53%

D) 57%

Step-by-step explanation:

Let R1 be students that attend class regularly

R2 be students that don't attend class regularly

A be students that receives A's in class

A) From the question A/R1 =57%

P(A/R1) = 0.57

B) From the question students that receive As that does not attend lectures regularly =16%

C) P(R2) = 1 -0.57 = 0.43

P(A) = P(A/R1) × P(R1) + P(A/R2)×P(R2)

P(A) = (0.57× 0.81) + (0.16×0

43)

P(A) = 0.46 + 0.0688= 0.53

The overall percentage that recieved A's = 53%

D) 57% recieved A's given that they attend class regularly.

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Answer:

No, at alpha equals 0.10​, we do not have enough evidence to support the​ county's claim.

Step-by-step explanation:

We are given that a county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 30 miles per hour.

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             n = sample of vehicles = 15

So, <em><u>test statistics</u></em>  =   \frac{31-30}{\frac{4.7}{\sqrt{15} } }  ~ t_1_4

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<em />

<em>Now at 0.10 significance level, the t table gives critical value of 1.345 at 14 degree of freedom for right-tailed test. Since our test statistics is less than the critical value of t as 0.824 < 1.345, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.</em>

<em />

Therefore, we conclude that the mean speed of vehicles is lesser than or equal to 30 miles per hour which means that the county's claim is not supported.

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