To test the relationship between gender and ratings of a promiscuous partner, a group of men and women was given a vignette describing a person of the opposite sex who was in a dating relationship with one, two, or three partners. Participants rated how positively they felt about the individual described in the vignette, with higher ratings indicating more positive feelings.

(a) Complete the F-table and make a decision to retain or reject the null hypothesis for each hypothesis test. (Assume experimentwise alpha equal to 0.05.)

. A sample of 500 respondents was selected in a large metropolitan area to study consumer behavior, with the following results shown through the contingency table:

Consider a diagnostic test for a hypothetical disease based on measuring the amount of a

certain biomarker present in blood. High levels of the biomarker are often found in individuals

with the disease, but a number of non-disease conditions can also cause high levels

of the biomarker. Individuals without the disease have biomarker levels that are normally

distributed with mean 1.6 ng/mL (nanograms per milliliter of blood), and standard deviation

0.50 ng/mL. Individuals with the disease have biomarker levels that are normally

distributed with mean 5 ng/mL and standard deviation 1.2 ng/mL. Values of 2.5 ng/mL

and higher constitute a positive test result. In a population where 6% of individuals are thought to have the hypothetical disease,

calculate the probability that an individual who tests positive has the disease.

Consider an individual making choices over two goods, x and y with prices px = 3 and py = 4, and who has the income I = 120 and her preferences can be represented by the utility function U(x,y) = (x^2)(y^2). Suppose the government imposes a sales tax of $1 per unit on good x:

(a) Calculate the substitution effect and Income effect (on good x) after the price change. Also Illustrate on a graph.

(b) Find the government tax revenues (T), the equivalent lump sum tax (L), and the dead weight loss (DWL). (Hint: Expenditure minimization at the final level of utility.)

(c) Is good x a normal good? Does law of demand hold for good x? Are good x and good y substitutes or complements?

The United States’ health-related views and laws are shaped by social, political, and historical factors that are often part of the larger debate over individual rights versus the collective good. Based on this idea please discuss your thoughts on the 3 following public health topics.

• Should childhood immunizations be mandatory or optional?

• Should higher insurance rates or taxes be used to punish poor health choices (e.g., cigarettes, “junk” food)? Would this be unfair to individuals, or is this fair since all Americans pay a portion of the healthcare costs to care for people who make these choices?

• Should, in light of the current Covid-19 situation, should we be required to social distance, wear masks when we are in public, and be on lockdown when community numbers are higher?

Seniors want to use technology to stay​ connected, read magazines and​ emails, share photos and​ ideas, listen to​ music, find recipes and discount coupons and much more. The Ontario Society of Senior Citizens Organizations​ (OSSCO) offers a variety of computer training​ opportunities, including using​ self-help instructions on iPad technology. Consulting with 20 seniors helped OSSCO develop these​ self-help instructions for both individual users and trainers who work with seniors. The ages of the seniors are listed below.

What is the median of the​ observations?

77 74 72 82

92 80 67 95

71 94 75 98

82 68 87 69

74 87 76 79

A. 82.5

B. 78

C. 80.5

D. 74

(10pts) A particular test is used to determine if an individual has a certain virus. Amongt the population being tested, 2% has the virus and 98% does not have the virus. The test will arrive at three possible outcomes: Positive, negative, or inconclusive. The following table of values summarizes the various probabilities of the test outcomes for those with the virus and for those without the virus. outcome of test has the virus does not have the virus Positive test 0.96 0.01 Negative test 0.02 0.94 Inconclusive test 0.02 0.05 For example, amongst those individuals who have the virus, the test will yield a negative result with probability 0.02. With this information, compute the following probabilities. a. Prob(has the virus|the test is inconclusive); b. Prob(does not has the virus|the test is inconclusive); c. Prob(the test is inconclusive).

A combinatorial auction allows participants to make bids on items in either individual or grouped quantities. Suppose an auctioneer has 4 items. There are 6 bidders who bid the following:

Bidder 1: $6 for item 1

Bidder 2: $3 for item 2

Bidder 3: $12 total for items 3 and 4

Bidder 4: $12 total for items 1 and 3

Bidder 5: $8 total for items 2 and 4

Bidder 6: $16 total for items 1, 2, and 4

Each item can only go to at most one participant. If a bidder won the bid on multiple items, they must receive all of them.

formula a linear Integer Program that helps the auctioneer maximize revenue. Clearly define all decision variables and constraints.

An example of an RCRA Corrective Action site is Boeing Plant 2 in Seattle, Washington. There was contamination of PCBs, PAHs, phthalates, semi-volatile organic compounds in the soil on-site and in surrounding waterways (including groundwater). Boeing still occupies the area and it is handling the cleanup, which is still ongoing. Part of their process has been implementing pilot projects that have reduced groundwater contamination by 98% (US EPA 2013). Since Boeing is still active on-site, RCRA Corrective Action is appropriate.

An example of a Superfund site is Quendall Terminals in the state of Washington. Located on Lake Washington, on 29 acres, this Superfund site was previously acreosote manufacturing and oil storage facility for many decades. Creosote, coal tar, and other hazardous chemicals have accumulated in groundwater, lake sediment and on land (US EPA 2019). While the lake is not used as a drinking water source, there are swimming beaches within a half-mile from the site (US EPA 2005). In 1999, the state’s Department of Ecology began contamination cleanup. Then in 2005, at the state’s request, EPA took over. The EPA requested the site’s responsible parties conduct a remedial investigation and feasibility study. The remedial study was completed in 2012 and the feasibility study completed in 2017 by the responsible parties. Public comments were received from September to October 2019 and the EPA’s final cleanup plan is scheduled (US EPA 2019). As the location is no longer in use and currently vacant, the CERCLA program is appropriate for this site. Additionally, there are plans to rezone and repurpose the location for residential use.

According to the post above pose questions about the position they took and/or how the regulation was applied?

QUESTION 2

Novus Sdn. Bhd is an interior design company. Its directors are Nobi, Dori, Ita and Moon. Nobi is the managing director of the company. Together the directors hold 30% of the company shares.

Recently the directors of Novus Sdn. Bhd. discover that Lotus Bhd. is making a bid to take over Novus Sdn. Bhd. by purchasing majority shares in the company. It is rumoured that Lotus Bhd. plans to remove Novus Sdn. Bhd.’s directors once it gains control of the company. Accordingly, the directors of Novus Sdn. Bhd cause the company to issue new shares to Mala, a member of the company who strongly opposes the takeover, to block Lotus Bhd.’s take over bid. The issuance of the new shares has the effect of reducing Lotus Bhd.’s percentage of shareholding in the company.

Meanwhile, Nobi successfully negotiates a contract on behalf of Novus Sdn. Bhd. with Ace Sdn. Bhd. However, the company has recently learned that Nobi has received a commission of RM300,000 from the negotiation, which Nobi has not disclosed to the company.

Novus Sdn. Bhd. seeks your advice as to whether any of its directors have breached their duty. Advise Novus Sdn. Bhd.