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elena-s [515]
3 years ago
8

According to a report from the United States Environmental Protection Agency, burning one gallon of gasoline typically emits abo

ut 8.9 kg of CO2. A fuel company wants to test a new type of gasoline designed to have lower CO2 emissions. Here are their hypotheses:
H0: μ = 8.9 kg
Ha: μ < 8.9 kg (where μ is the mean amount of CO2 emitted by burning one gallon of this new gasoline).

Which of the following would be a Type II error in this setting?

A. The mean amount of CO2 emitted by the new fuel is actually 89 kg but they conclude it is lower than 89 kg
B. The mean amount of CO2 emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg
C. The mean amount of CO2 emitted by the new fuel is actual 89 kg and they alto conclude it is lower than 89 kg and they conclude it is lower than 9 kg
D. The mean amount of CO2 emitted by the new fuels actually lower than 8.9
Mathematics
1 answer:
Minchanka [31]3 years ago
8 0

Answer:

B. The mean amount of CO_2 emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg

Step-by-step explanation:

A Type II error is the failure to reject a false null hypothesis.

Given the null and alternate hypothesis of a fuel company which wants to test a new type of gasoline designed to have lower CO_2 emissions.:

H_0: \mu = 8.9 kg\\H_a: \mu < 8.9 kg \\\text{ (where \mu is the mean amount of CO_2 emitted by burning one gallon of this new gasoline)}

where \mu is the mean amount of CO_2 emitted by burning one gallon of this new gasoline.

If the null hypothesis is false, then:

H_a: \mu < 8.9 kg

A rejection of the alternate hypothesis above will be a Type II error.

Therefore:

The Type II error is: (B) The mean amount of CO_2  emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg.

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There are approximately 40,000 people that live in a city. A sample of 20,000 people from that city are asked and 8,000 live in
Archy [21]

Answer:

16,000 people

Step-by-step explanation:

Let's write a ratio

8,000:20,000

Let's write another ratio

x:40,000

We can write a percent proportion.

\frac{8,000}{20,000} =\frac{x}{40,000}

We can see that the relationship between the denominators is multiplied by 2 so that means the relationship between 8,000 and x is x is 2 times greater than 8,000

Let me know if you have any questions.

8 0
3 years ago
A student's grade for the four quarters are 95, 83, 91, and 85. What does the student need to earn on the final exam to have an
gulaghasi [49]

Answer:

The least score the student can get is 71 to get an overall B average at the end of the year.

Step-by-step explanation:

Let the score she needs to get be = x

We now have to take the mean of all the five subjects <em>(including x)</em> and equate it to the least score she can have to get a B grade.

Let us take the least score the student needs to get a B grade to be 85

Mean of all 5 scores =

\frac{95+83+91+85+x}{5}=85

\frac{354+x}{5} =85

354+x = 425

x = 71

The least score the student can get is 71 to get an overall B average at the end of the year.

3 0
3 years ago
Write <br> 49%<br> as a fraction.
Alinara [238K]
49/100 I don't know how specific you needed it to be.
4 0
3 years ago
Read 2 more answers
The cost of one pound of bananas is greater than $0.41 and less than $0.50. Sarah pays $3.40 for x pounds of bananas. Which ineq
vredina [299]

Answer:

0.41<3.40/x<0.50

Step-by-step explanation:

Given that the cost of one pound of bananas is greater than $0.41 and less than $0.50. That is,

If the cost of one banana is P, then, the inequality will be

0.41 < P < 0.50

Sarah pays $3.40 for x pounds of bananas. The inequality that represents the range of possible pounds purchased will be achieved by below

3.40/0.41 = 8.29

3.40/0.50 = 6.8

Therefore, the inequality that represents the range of possible pounds purchased is

6 < x < 9 this is the same as 0.41<3.40/x<0.50

6 0
3 years ago
I need help with please
Tcecarenko [31]

Answer:

x - 2

Step-by-step explanation:

2x - 1 + 4x - 11

First, you want to combine like terms.

We can see that the one and eleven can go together, so add them together.

2x + 4x - 12

The reason that we made one, and eleven, negative twelve, is because they are both being subtracted from the numbers before that.

6x - 12

We added the 2x, and the 4x together to make 6x.

Another way to write this would be x - 2, because you can simplify it by dividing it by 6.

7 0
2 years ago
Read 2 more answers
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