Q: Assistance to understand clearly and solve this example from Probability and Statistical Inference with the steps of the solution to better understand, thanks.

**Please give the step by step with details to completely see how the solution came about, plenty of thanks.

1) To test two methods of instruction, 50 students are selected at random from each of two groups. At the end of the instruction period, each student is assigned a grade (A, B, C, D, or F) by an evaluating team. The data are recorded as following:

Grades

Test the null hypothesis H₀ that the two methods of instruction made no difference at the 5% significance level.

7–44 Reconsider Prob. 7–43. Using appropriate software, investigate the effects of the source temperature and final pressure on the total entropy change for the process. Let the source temperature vary from 30 to 210°C, and let the final pressure vary from 250 to 500 kPa. Plot the total entropy change for the process as a function of the source temperature for final pressures of 250 kPa, 400 kPa, and 500 kPa, and discuss the results.

David gets $90 per month as an allowance to spend any way he pleases. Because he likes only peanut butter and jelly sandwiches, he spends the entire amount on peanut butter (at $1 per ounce) and jelly (at $2 per ounce). Bread is provided free of charge by a concerned neighbor. David is a picky eater and makes his sandwiches only one way-- with exactly one ounce of peanut butter and two ounces of jelly. You can use increments of 10 on both axes.

1. Carefully draw and label any 3 accurate indifference curves. Label them U1, U2 and U3 such that U3>U2>U1.

2. Label the following two points in your graph: Bundle A (50 Jelly and 20 Peanut Butter) and Bundle B (30 Peanut Butter and 40 Jelly). Carefully explain whether David gets more satisfaction from Bundle A or Bundle B.

There are 50 students in a classroom at UT-Almost. Thirty of these students started as freshmen at UTA; the rest are transfers. The transfer students are split evenly between business majors and liberal arts majors. the total number of business majors is 25. (use for both questions)

#13 – If we randomly selected a single student, what is the probability he/she will be either a liberal art major or a transfer student?

ANSWER:

#16 – Suppose we randomly selected two students using this process: We take 40 envelopes and insert a slip of paper (either red or white) into each one. Each envelope is then sealed and then placed in a big box from which students draw one envelope each. The student who draw envelopes with red slips inside them are selected. Two of the envelopes contain red slips; the rest contain white. What is the probability that both students selected will be transfers?

ANSWER:

A small entrepreneurial company is trying to decide between developing two different products that they believe they can sell to two potential companies, one large and one small. If they develop Product A, they have a 50% chance of selling it to the large company with annual purchases of about 20,000 units. If the large company won't purchase it, then they think they have an 80% chance of placing it with a smaller company, with sales of 15,000 units. On the other hand if they develop Product B, they feel they have a 40% chance of selling it to the large company, resulting in annual sales of about 17,000 units. If the large company doesn't buy it, they have a 60% chance of selling it to the small company with sales of 20,000 units.

*Need excell formula for each cell*

Based on the criteria used by the Bureau of Labor Statistics (BLS), identify each person’s status as employed, unemployed, “not in the labor force” (if not in the civilian labor force but still part of the adult population), or “not in the adult population” if not in the civilian adult population. Person Status Lorenzo is a 75-year-old professor. He teaches only one or two courses a year, but he's still pursuing an active research agenda. Neha is a 36-year-old autoworker who was just laid off by her employer. She is trying to find any kind of job to help make ends meet. Sam is a 41-year-old graphic designer who is taking 2 years off from work to care for his small daughter. Beth is a 29-year-old who lost her job as an associate producer for a radio station. After spending a few weeks out of work and interviewing for several other positions, she gave up on her job search and decided to go back to grad school. She made that decision a few months ago. Andrew is a famous novelist. He is spending the summer at his lake house in upstate New York, doing a little writing each day but mostly spending his time gardening and reading. Teresa is a 11-year-old student at West Valley Middle School. She babysits her younger sister and does other chores, so her parents give her an allowance of $20 per week. Complete the right half of the following equation to reflect the labor force participation rate reported by the BLS. Labor Force Participation Rate = According to this formula, what is the labor force participation rate of this economy of six people? 33.33% 40% 50% 60% Complete the right half of the following equation to reflect the unemployment rate reported by the BLS. Unemployment Rate = According to this formula, what is the unemployment rate of this economy of six people? 33.33% 40% 50% 60%

QUESTION 40

1. All of the following are part of the Social-Ecological Model except for?

   		Organizational
   		Individual
   		Public Policy
   		Nutrition Panel

2 points   

QUESTION 41

1. Health claims such as “reduces heart disease” must be evaluated by the __________ before it may appear on packaging.

   		World Health Organization (WHO)
   		US Department of Agriculture (USDA)
   		Health and Human Services (HHS)
   		Food and Drug Administration (FDA)

2 points   

QUESTION 42

1. Which group is responsible for preparing guidelines for food labeling within the food industry?

   		US Department of Agriculture (UDSA)
   		Food and Drug Administration (FDA)
   		World Health Organization (WHO)
   		Center for Disease Control and Prevention (CDC)

2 points   

QUESTION 43

1. The Mediterranean diet involves multiple ___________; moreover, ___________ is the main source of fat.

   		Herbs and spices; olive oil
   		Meats; animal fats
   		Dairy; walnut oil
   		Grains; vegetable oil

2 points   

QUESTION 44

1. The ________ of a nutrient must be established before Recommended Dietary Allowances (RDA) can be determined.

   		Acceptable Macronutrient Distribution Range (AMDR)
   		Tolerable Upper Intake Levels (UL)
   		Dietary Reference Intakes (DRI)
   		Estimated Average Requirements (EAR)

2 points   

QUESTION 45

1. The _______________ is a standardized tool which assesses whether the American diet is conforming to the Dietary Guidelines.

   		Daily Values (DV)
   		Healthy Eating Index (HEI)
   		Recommended Dietary Allowances (RDA)
   		Center for Nutrition Policy and Promotion (CNPP)

2 points   

QUESTION 46

1. Since 1980, the dietary guidelines have been reevaluated and updated every ____ years by the advisory committees of the US Department of Agriculture (USDA) and the US Department of Health and Human Services (HHS).

   		Seven
   		Five
   		Ten
   		Two

2 points   

QUESTION 47

1. A healthy eating pattern includes all of the following except:

   		Vegetables
   		Exercise
   		Grains
   		Fruits

2 points   

QUESTION 48

1. If alcohol is consumed it should be consumed in moderation – up to ______ drink per day for women and up to _____ drinks per day for men.

   		One; two
   		Four; three
   		Three; three
   		Two; three

2 points   

QUESTION 49

1. The ________ represents the recommended amount of a given nutrient based on the ______ of that nutrient in a 2,000 – kilocalorie diet.

   		Daily Value (DV); Recommended Dietary Intake (RDI)
   		Adequate Intake (AI); Tolerable Upper Intake Levels (UL)
   		Dietary Reference Intakes (DRIs); Acceptable Macronutrient Distribution Range (AMDR)
   		Recommended Dietary Allowances (RDA); Estimated Average Requirements (EAR)

2 points   

QUESTION 50

1. Oils are essential for your diet as they contain valuable essential fatty acids, but the type you choose and the amount you consume is important. You should strive for oil that is ______.

   		Plant and animal based
   		Animal based
   		Plant based
   		Manmade oils

What's the slope of this data (round to two decimal places)?

What's the Y intercept (round to two decimal places)?

What's the predicted test score for a stress level of 10 (round to two decimal places)?

What's the error of participant 5's score (round to two decimal places)?

What's the standard error of the estimate?

What is the coefficient of determination?

In a box are six balls with the numbers 2, 6, 7, 13, 23, 34.

(a) (2 points) You draw four balls at the same time. What is the probability that two of them are prime numbers?

(b) (2 points) Draw a ball, put it back in the box, and draw another ball. Let A be the event that the first ball is even, and let B be the event that the product of the two numbers on the two balls is even. Are A and B independent?

(c) (2 points) Draw again two balls in the ways as in (b). Let X be the random variable assigning to the outcome the sum of the numbers on the two balls. What is P(X ≥ 50)? 1

(d) (2 points) Remove all balls from the box except 7 and 13. Draw again two balls from the box in the same way as (b) and let X be defined as in (c). Calculate its expected value.