Advanced Placement (AP) High School

A consumer group is investigating two brands of popcorn, R and S. The population proportion of kernels that will pop for Brand R is 0. 90. The population proportion of kernels that will pop for Brand S is 0. 85. Two independent random samples were taken from the population. The following table shows the sample statistics. The consumer group claims that for all samples of size 100 kernels from Brand R and 200 kernels from Brand S, the mean of all possible differences in sample proportions (Brand R minus Brand S) is 0. 3. Is the consumer group’s claim correct?

Answers

Answer 1

The consumer group's claim that the difference in proportions has a mean of 0.03 is incorrect.

Related Questions

PLEASE ANSWER BOTH

LOTS OF POINTS

b) Explain ONE similarity in how the development of new medical innovations and agricultural technologies in the twentieth century affected the environment

c ) Explain ONE major change in global culture in the late twentieth century

Answers

The twentieth century saw the emergence of new agricultural and medical technology, both of which had an impact on the environment by increasing the usage of synthetic chemicals.

Synthetic pesticides, fertilizers, and other chemicals are used in agriculture, which has enhanced crop yields and helped feed a growing population, but it has also resulted in soil and water resource pollution, harm to non-target species, and the emergence of pests that are pesticide-resistant.

Technology in the fields of medicine and agriculture has both greatly benefited civilization, but they have also had unforeseen negative effects on the environment, emphasizing the need for responsible innovation and sustainable practices.

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Song: Lovers Rock - TV Girl

Why do you think the artist named the song what they did?

What is the attitude of the speaker/singer?

Identify important tools and turns

What do you think the main theme or message of the song is?

Answers

The artist named the song in the way they did to pass a metaphorical message.

Why do you think the artist named the song what they did?

The attitude of the singer is one of regret and one who wants to mend a relationship. Note that attitude is reflected in the tone of the lyrics.

The them of the song is Love Gone sour.

Note that Metaphors and tones are tools in literature that are used for expression of thought and communication of central idea.

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If a fair die is rolled 5 times what is the probability rounded to the nearest thousand of getting at least 4 sixes

Answers

The likelihood of getting at least 4 sixes when a fair die is rolled five times, rounded to the nearest thousand, is probability - 3240/7776 = 41% [approx.]

The probability of an occurrence, as used in science, is a figure that expresses how likely it is to take place. A number between 0 and 1 or a percentage between 0% and 100% are both acceptable forms of representation in mathematical notation.

An event's likelihood increases with its probability. Depending on whether something is conceivable or not getting , an event's likelihood can range from 0 to 1.

In both A and B, there is a one in one chance that two linked occurrences, A and B, will occur simultaneously.

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The European Union (EU) is an alliance among several countries in Europe. Which of the following is true about the EU? (1 point)
A- It is an economic superpower that rivals the United States.
B- The alliance has lifted trade boundaries, but the trade revenue has remained the same.
C- The European member countries entered the agreement with little hesitation.
D- The members have pledged military allegiance to one another.
E- Its global influence is parallel to Australia.

Answers

B- The alliance has lifted trade boundaries, but the trade revenue has remained the same is true about the EU.

Use the excerpt from the speech on the air traffic controllers strike to answer the question.

Using the excerpt from Reagan's speech about air traffic controllers, answer (a), (b), and (c).

In 1–2 sentences, explain is the primary purpose of this speech.
In 2–3 sentences, describe the rationale Reagan provides for his proposed actions.
In 1–2 sentences, identify the ultimate outcome of the situation Reagan describes in the speech.

Excerpt from Ronald Reagan’s Speech on the Air Traffic Controllers Strike, 1981
This morning at 7 a.m. the union representing those who man America's air traffic control facilities called a strike. This was the culmination of 7 months of negotiations between the Federal Aviation Administration and the union. At one point in these negotiations agreement was reached and signed by both sides, granting a $40 million increase in salaries and benefits. This is twice what other government employees can expect. It was granted in recognition of the difficulties inherent in the work these people perform. Now, however, the union demands are 17 times what had been agreed to—$681 million. This would impose a tax burden on their fellow citizens which is unacceptable.

. . .

Let me make one thing plain. I respect the right of workers in the private sector to strike. Indeed, as president of my own union, I led the first strike ever called by that union. I guess I'm maybe the first one to ever hold this office who is a lifetime member of an AFL-CIO union. But we cannot compare labor-management relations in the private sector with government. Government cannot close down the assembly line. It has to provide without interruption the protective services which are government's reason for being.

. . .

I must tell those who fail to report for duty this morning they are in violation of the law, and if they do not report for work within 48 hours, they have forfeited their jobs and will be terminated.

Answers

(a) The primary purpose of this speech was to address the air traffic controllers strike that occurred in 1981, and to announce the government's response to the strike.

(b) Reagan's rationale for his proposed actions was that the demands of the air traffic controllers' union were unreasonable and would impose an unacceptable tax burden on American citizens. He also argued that the government has a responsibility to provide uninterrupted protective services, which cannot be compared to labor-management relations in the private sector.

(c) The ultimate outcome of the situation Reagan describes in the speech was that the striking air traffic controllers who did not return to work within 48 hours were terminated. The strike was broken, and the government hired and trained new controllers to replace those who were fired, resulting in a significant shift in the balance of power between labor and management in the United States.

How do price controls set by the federal government help consumers during a time of high inflation?

They set a maximum price for products or services and also set a minimum amount on how much an employee can be paid for work. The government sets a specific price on all products and services. The government sets a specific salary for all jobs. The government gives corporations money to keep prices low.

Answers

Price controls set by the federal government help consumers during a time of high inflation by setting a maximum price for products or services. This ensures that prices do not rise too high, making goods and services more affordable for consumers. By limiting price increases, price controls can help prevent runaway inflation, which can be damaging to the economy and to consumers' purchasing power. However, it's worth noting that price controls can also have negative effects, such as creating shortages or reducing incentives for businesses to produce goods or services. Therefore, price controls should be used cautiously and in combination with other economic policies to promote stability and growth. The government does not set a minimum amount on how much an employee can be paid for work or give corporations money to keep prices low as part of price controls.
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