Show ALL work. Make note of the programs and/or commands when using a calculator. Round ALL answers to three decimal places unless otherwise specified.

1. The table below describes the eye color of students from a randomly selected first grade class.

	Blue	Brown	Green	Hazel
Boys	3	7	1	2
Girls	1	5	2	4

a. Find the probability that a randomly selected child has blue eyes. (3pts)

b. Find the probability that a randomly selected child is a girl or has hazel eyes. (4pts)

c. Find the probability that a randomly selected child has brown eyes given the child is a boy. (4pts)

d. If two children are selected without replacement, find the probability that both children have hazel eyes. (4pts)

2. The length of pregnancies is normally distributed with a mean of 268 days and a standard deviation of 15 days.

a. What is the probability that a randomly chosen pregnancy will be longer than 273 days? (4pts)

b. A baby is considered premature if the length of pregnancy is in the lowest 3%. Find the length of pregnancy that separates premature babies from those who are not premature. (5pts)

c. What is the probability that the mean pregnancy length of 50 women will be between 260 and 266 days? (6pts)

3. A survey of 250 UCLA students found 80 of them smoked. Assume UCLA and UCB are relatively similar. If you want to be 95% confident that you would obtain the proportion of UCB students that smoke with a margin of error of 0.08, find the minimum sample size needed for your survey. (6pts)

4. The student enrollment at a local university is 58% female. Answer the following questions based on a sample of 34 randomly selected students.

a. What is the probability that 20 of the students sampled are female? (4pts)

b. What is the probability that less than half of the sample is female? (6pts)

5. Suppose you wanted to test the claim that the proportion of M&Ms that are brown is greater

than 13% at the α = 0.08 test. (5pts)

significance level. Find the appropriate critical value(s) for this

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6. A sample of 82 Oscar winning actresses had a mean age of 35.9 years and standard deviation

11.1 years when winning Oscars. Use a 0.05 significance level to test the claim that the mean age of actresses when they win Oscars is less than 38 years.

a. State the hypotheses and identify the claim. (3pts)

b. Find the test statistic and p-value. (4pts)

c. State your conclusion. (2pt)

d. Find a confidence interval comparable to the hypothesis test for the mean age of actresses when they win Oscars. (5pts)

• Listed below are the numbers of words (in thousands) males and females in ten randomly selected couples spoke in a day. Use a 0.05 significance level to test the claim that among couples, there is no difference in the number words males and females speak.

Males	12	21	16	19	16	9	19	20	8	16
Females	15	17	25	27	21	14	33	18	17	20

a. Are the samples above independent or dependent? Explain why. (2pts)

b. State the hypotheses. (2pts)

c. Find the test statistic and p-value. (4pts)

d. State your conclusion. (2pt)

e. Briefly explain your conclusion so someone outside of a statistics class can understand. (2pts)

8. In a random sample of 360 women, 65% favored stricter gun control laws. In a random sample of 220 men, 60% favored stricter gun control laws.

a. Construct a 95% confidence interval for the difference in proportion of women who favor stricter gun control laws versus men who favor stricter gun control laws. (6pts)

b. Does the interval contain zero? What does this mean? (4pts)

Resource: Assignment Grading Guide

Create a 10- to 12-slide presentation with speaker notes in which you include the following:

• Evaluate key attributes of the selected product or service chosen in your Week 2 assignment, “Trends in Marketing Communications.”
• Identify three advertising tools that the company uses to advertise this product or service.
• Evaluate the effectiveness of each tool in its ability to reach the intended target market segment compared with competing products or services.
• Determine the competitive advantage(s) of the product or service in relationship to the competition, and develop a revised positioning statement that can more effectively communicate the value of the product or service to the targeted market segment.
• Propose new marketing processes, tools, and media channels that can be used to increase market penetration and consumer spending.
• Outline your strategy for piloting these new processes, tools, and media channels within specific market(s) and demographic(s), and explain the reasoning behind your selection process.

Please see the notes in the word document and revise the paper

Suggestions for improvement

1^st Marker:

• The student needs to get help on her English writing. The paper is very difficult to understand at present.
• Needs a lot more references, particularly Chinese language sources about Chinese consumers.

2^nd Marker:

• The key contribution of this project can be further accentuated by broadening the scope of the idea – for example, shifting the focus to investigating and understanding the reason why young Chinese consumers are less inclined to purchase luxury jewelry brands compared to other parts of the world can broaden the scope of the research. Solely focusing on Chow Tai Fook would restrict the theoretical value of this project.

• If the prediction about the recent trend with the luxury jewelry market consumers in China is indeed true, then that would actually suggest that there is a cross-cultural difference across Chinese consumers and consumer of other countries. Thus, identifying how Chinese consumers differ would also be an interesting direction to take this project in the future.

Response Posts (20 points):

By Day 5 and 7

Respond by to at least two of your colleagues’ or professor’s postings in a substantive manner, meaning a minimum of 1 full paragraph. Simple “I agree,” “Good post,” or one-line question posts are not enough for full credit. Be substantive as you engage your colleagues.

Return to this Discussion in a few days to read the responses to your initial research- based posting. Note what you have learned and/or any insights you have gained as a result of the comments your colleagues made.

Research Requirement: Be sure to support your ideas by connecting them to authoritative scientific information sources. Every week you are expected to conduct independent research (beyond the course resources). Cite your research sources and include links whenever possible.

12 hours ago

Kristen

RE: Week 3 Discussion – Understanding Ecosystems!

COLLAPSE

We are currently in the sixth mass extinction event, and unfortunately, it is entirely all our fault. The current global extinction is something that has never been witnessed by humans. This mass extinction is on our planet’s wildlife. Scientists are predicting that over one million species are bound to become extinct in the upcoming years. Due to our actions, humans are the cause of hundreds of animal extinctions. Unfortunately, these species will become extinct one hundred times faster than if they didn’t have our help because of humans. This has happened on our great planet only five times before; the latest was when dinosaurs were wiped off.

Many things that we are doing to our planet is causing the current mass extinction. Carbon dioxide in the air is at an all-time high due to burning fossil fuels, agriculture, and industries. Our rivers and seas dead zones because we are disrupting chemical cycles. We see an alarming increase in hurricanes, severe weather, glaciers melting, and sea levels rising because of global warming. Wildlife trading and habitat loss is also a culprit.

We need to get this crisis under control. We can help slow and stop the process of the extinction of wildlife. We can stop burning fossil fuels, protect our land and oceans, fight against wildlife trading and even slow the human population’s growth. With the current global pandemic and being forced to “slow down,” I think we could become one with nature again. We have been able to take a step back and open our eyes to what is happening.

From the beginning of time, everything from the plants and animals has given us history and inspired everything we do and how we live. As loud and crazy as this world has become, you have to admit that all the wildlife, exotic plants and flowers give us joy. If the current mass extinction continues, our planet will become a very cold, dull, and ugly place.

References

https://populationmatters.org/campaigns/anthropoce…

https:/www.biologicaldiversity.org/programs/biodiversity/…

https://www.theguardian.com/environment/2020/jun/0…

2 hours ago

Reta

RE: Week 3 Discussion – Freshwater Ecosystems!

COLLAPSE

For this week’s discussion, I chose the Freshwater Ecosystem. As living things, we all need water to survive and not just any water, but freshwater. With only less than 3% of the earth’s water is freshwater, and the rest is in glaciers, fresh water is a precious asset for us to have. “Freshwater starts as a vapor, and once the vapor rises, it leaves salt and other contaminants behind, and then the water becomes fresh” (National Geographic Society, 2019). Freshwater, unlike marine, has little salt. Freshwater can be harmed by bacteria and pollution and become unhealthy for humans and animals. “Scientists that study freshwater ecosystems are known as limnologists” (National Geographic Society, 2019).

The benefits of freshwater are that it is vital to all who need it for survival; it also provides critical regulating services and also vital to the biosphere (The Rockefeller Foundation, 2020). It also provides energy, clean water, food and helps support the world’s finances and means. The freshwater services are water purification, helps store carbon, which helps the atmosphere, can help climate change from the evaporation to cool the atmosphere, and if a fire breaks out, the freshwater can act as a break to stop the spread of the fire elsewhere.

Human impact on the freshwater ecosystems by littering in lakes and rivers, constructing dams or an irrigation system, we can use too much water at a time, even chemical runoff. The building of dams or irrigation cuts off the supply limiting the flow of water. Excessive water use can cause reductive water reservoirs and could cause streams and ponds to dry up. The pollution and chemical runoff can cause toxins to run into the lakes, rivers, and streams and impact the fish and other wildlife and cause a population decline (Kazmeyer, 2018).

As humans, we can manage this ecosystem better to control the construction of dams and irrigation. We can motivate farmers and agriculturalists to reduce pesticides. We need to throw our trash in the bins provided and not pollute the waters. We can also limit how much water we are using daily by limiting our shower use, limiting our drinking, maybe perhaps drinking bottled water, and limiting how much water we use in the yard by our sprinkler systems and washing our cars (National Geographic, 2017). We need to be more cautious as humans of how we are treating our environment.

References:

Kazmeyer, M. (2018). What Is the Human Impact on the Freshwater Biome? Sciencing. https://sciencing.com/human-impact-freshwater-biome-5977987.html

National Geographic. (2017, March 6). The Threats Facing Freshwater Habitats. Nationalgeographic.com. https://www.nationalgeographic.com/environment/habitats/freshwater-threats/

National Geographic Society. (2019, August 2). Freshwater Ecosystem. National Geographic Society. https://www.nationalgeographic.org/article/freshwater-ecosystem/

The Rockefeller Foundation. (2020). Healthy freshwater ecosystems: an imperative for human development and resilience. The Rockefeller Foundation. https://www.rockefellerfoundation.org/report/healthy-freshwater-ecosystems-imperative-human-development-resilience/#:~:text=Energyfoodandhealthall