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Jlenok [28]
2 years ago
5

32 students were asked which of the sciences they enjoy the most. 4 of the boys said they enjoy Physics. The ratio between boys

and girls is 1 : 1 . The probability of picking a girl at random who enjoys Chemistry is 0.25 . Twice as many of the boys said they enjoy Chemistry compared to the girls. The ratio of students who said they enjoyed Physics, Biology and Chemistry was 5 : 5 : 6 respectively.
Mathematics
1 answer:
stepladder [879]2 years ago
5 0

Answer:

Step-by-step explanation: Total number of students = 32

Total number of ratio of students that enjoy Physics, Biology and Chemistry = 5 + 5 + 6 = 16

Number of boys that enjoy the three subjects = 16

Number of girls that enjoy the three subjects = 16

Number of students that enjoy Physics = 5/16 X 32 = 10

Number of students that enjoy Biology = 5/16 X 32 = 10

Number of students that enjoy Chemistry = 6/16 X 32 = 12

If number of boys that enjoy Physics = 4

∴ Number of girls that enjoy Physics = 10 - 4 = 6

The probability of girls that enjoy Chemistry = 0.25 = 1/4

∴ The number of girls that enjoy Chemistry = 1/4 X 12 = 3

Hence, the number of boys that enjoy Chemistry = 12 - 3 = 9

Number of boys that enjoy Biology = 9 + 4 - 10 = 13 - 10 = 3

∴ Number of girls that enjoy Biology = 10 - 3 = 7

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7. License Plate Laws The Chapter Problem involved passenger cars in Connecticut and passenger cars in New York, but here we con
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Yes it is true that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars because null hypothesis is rejected.

Given among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates.

let p_{1} be the probability that commercial cars have rear license plates and p_{2} be the probability that connected trucks have rear license plates.

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Total                  2049                    334                             2383

x                          239                      45                                284

p                        0.1166                   0.1347                          0.1191

α=0.05

Hypothesis will be  :

H_{0}:p_{1} =p_{2}

H_{1} :p_{1} < p_{2}

It is a left tailed test at 0.05 significance.

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=\sqrt{(0.1191*0.8809)/2383}

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=-0.0181/0.0061

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Since p is less than 5% we reject null hypothesis.

We cannot calculate standard deviation so  we cannot calculate confidence interval.

Hence there is statistical evidence at 5% significance level to support that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

Learn more about z test at brainly.com/question/14453510

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5 0
2 years ago
in mrs. wallace class's science class, 1/2 of the students are boys. Of the boys , 1/8 are left- handed. what fraction of the st
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Answer:

1/16 of the class are left handed boys but we do not know the amount of left handed girls so we cannot be sure.

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1/2 * 1/8 = 1/16

there is still no way to be sure of how many girls are left handed so you should probably make a note by the problem so the mistake on the test will be realized

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