In this scenario, explain which trait will be favored by natural selection and why. If you think particular numbers do or do not matter, your answer should explain why they do or do not matter (in other words, show your work).

Organisms of species Beta live in family units consisting of a mother and all her children who always share the same father. Sometimes there are 2 children, sometimes 3, sometimes 7, etc. On average, the group consists of 5 individuals. When a predator attacks, there are two possible strategies:

Strategy A is to simply run away. If you do so, the chance of being killed yourself is 5% and the chance of some other member of your group being killed is 80%. There is a 15% chance you will all get away.

Strategy B is to send up an alarm call warning everyone in your group. The chance of being killed yourself is now 10% but there is only a 40% chance of someone else in your group being killed and a 50% chance that you will all get away.

Will natural selection favor strategy A or strategy B?

1-way ANOVA test

A researcher hypothesized that if people were to use his newly-developed caffeine pill, that they would have more energy and have a better attention span throughout the day, but not feel jittery at night. To test his hypothesis, he gathered 30 participants and randomly assigned them to one of 3 conditions: a placebo condition (0mg) in which they were given a sugar pill, a 50mg condition, or a 100mg condition. Each participant was made to stay awake the night before and given one of the three pills to take the next morning. That night, the participants were asked to rate their energy level from 1 (no energy) to 10 (high energy).

Data Set:

The owner of Maumee Ford-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year.

  Click here for the Excel Data File

1. Determine the standard error of estimate. (Round your answer to 3 decimal places.)

2. Determine the coefficient of determination. (Round your answer to 2 decimal places.)

3. Interpret the coefficient of determination. (Round your answer to the nearest whole number.)

The owner of Maumee Ford-Mercury-Volvo wants to study the relationship between the age of a car and it selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year.

The regression equation is Ŷ=11.18-0.49X, the sample size is 12 and the standard error of the slope is 0.23. Use the .05 significance level. Can we conclude that the slope of the regression line is less than zero?

(NEED ALL THE WORKINGS AND STEP)

1. Two Rules (504 and 506) under Reg D relate to the (a) amount of offerings and (b) number of investors. Match Rules 504, 506, or “none” with each of the following:
   1. $5 million offering limit (in a 12 month period)
   2. $5 million offering limit (in a 12 month period)
   3. No limit on the amount of offering (in a 12 month period)
   4. No limit on the number of investors
   5. No limit on number of accredited investors; limit of thirty-five unaccredited investors

Pharoah Innovations, Inc. produces exercise and fitness gear. Two of its newer products require a finishing process that can only be completed on machines that were recently purchased for this purpose. The machines have a maximum capacity of 10,500 machine hours, and no other products that the company makes use these machines.

Sarah Jacob, the company’s operations manager, is preparing the production schedule for the coming month and can’t seem to find enough machine time to produce enough units to meet the customer demand that the marketing department has included in the sales budget.

Michael Stoner, the company’s controller, has gathered the following information about the two products:

(a)

Correct answer iconYour answer is correct.

Calculate the total number of machine hours needed to produce enough units to meet the sales demand for the two products.

eTextbook and Media

Attempts: 1 of 3 used

(b)

How should Sarah allocate the 10,500 available machine hours between the two products so that Pharoah maximizes its profits?

A university would like to develop a regression model to predict the point differential for games played by its men's basketball team. A point differential is the difference between the final points scored by two competing teams. A positive differential is a win for the university's team and a negative differential is a loss. For a random sample of games, the point differential (y) was calculated, along with the number of assists (x1), rebounds (x2), turnovers (x3) and personal fouls (x4).Complete parts a through f below.

Game   Point_Differential   Assists   Rebounds   Turnovers   Personal_Fouls
1   16   14   38   12   10
2   45   22   46   11   11
3   11   19   45   11   7
4   19   9   34   17   17
5   16   17   36   13   20
6   14   20   36   18   12
7   11   15   26   10   10
8   5   13   28   12   18
9   -3   6   33   12   23
10   -5   14   30   12   15
11   -10   4   22   8   21
12   23   16   39   8   22
13   6   12   38   13   17
14   19   14   39   13   26
15   -10   12   24   9   19
16   38   19   44   10   19
17   2   13   31   7   17
18   8   10   34   21   33
19   10   10   34   20   20
20   -13   11   26   17   38
21   -9   9   26   9   30
22   -2   16   32   15   24

a) Construct a regression model using all four independent

variables.

y= _ + (_)x1 + (_)x2 + (_)x3 + (_)x4

b) Test the significance of each independent variable using a=.05

Identify the general form of the null and alternative hypotheses, where βj is the population regression coefficient for the jth independent variable.

H₀: B_{j =}

H₁:Bj=

c) Interpret the p-value for the coefficient of each independent variable. Find the p-value for the coefficient of each independent variable.

d) Construct a 95​% confidence interval for the regression coefficients for the Personal Fouls independent variable and interpret the meaning. A 95% confidence interval for the coefficient of the Personal Fouls independent variable is ___ to ___ The Data

A school psychologist is interested in determining if children with attention deficit disorder (ADD) learn better if English literature is read to them rather than having them read the material themselves. A random sample of 10 sixth graders with ADD is selected and divided into two groups of 5 each. One of the groups has a story read to them (Listening Group) and the other reads the story themselves (Reading Group). A quiz on the story is given after each group has finished reading or hearing the story. The following scores were obtained with 20 being a perfect score. Please analyze this data using a two-tailed test at the α = .05 level.

The confidence interval for this study was calculated as .42 to 6.78. What is the appropriate interpretation of the confidence interval?

A technical engineer is interested in understanding the battery life of two different laptops for student usage at a community college in California. The two models he has are Madroid and Krapple. He randomly assigned students to one of the laptop models and recorded the number of minutes the students were able to use the computer until the battery ran out. Below is the data collected.

Does the technical engineer have statistically significant evidence to present to the university budget committee to purchase Krapple because it has, on average, a longer battery life?

Provide the p-value from your analysis.