a). Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that the professor has underestimated the number of students with part-time or full-time jobs. A random sample of 79 students shows that 35 have jobs. Do the data indicate that more than 35% of the students have jobs? Use a 5% level of significance.

What is the value of the sample test statistic? (Round your answer to two decimal places.)____?

b). A machine in the student lounge dispenses coffee. The average cup of coffee is supposed to contain 7.0 ounces. A random sample of six cups of coffee from this machine show the average content to be 7.3 ounces with a standard deviation of 0.70 ounce. Do you think that the machine has slipped out of adjustment and that the average amount of coffee per cup is different from 7 ounces? Use a 5% level of significance.

What is the value of the sample test statistic? (Round your answer to three decimal places.) ___________?

UNEMPLOYMENT
Pick an industry that typically has strong cyclical (peaks when the economy is strong) or counter-cyclical (peaks when the economy is weak) employment.   Find an online article that supports your identification of the industry.   Why do you suppose this industry has cyclical (or counter-cyclical) employment?

Example:   The Secondary Education Industry has a strong COUNTER-Cyclical employment relationship.   When the economy is very strong, individuals enter the workforce directly and bypass education.   However, when the economy is weak and people lose their job, employers have the ability to pick from a wider applicant pool.   As a result, individuals want to INCREASE their employability and get a degree.  When individuals choose to go to school, the schools must hire additional instructors and support staff to educate a larger enrolled population.   As a result, the employment in higher education is COUNTER-CYCLICAL.   This is what is meant by labor is a “derived” demand.  Firms (or colleges) will only hire based on the amount of the product they expect to produce (in this case students to educate). 

1. For each of the following, define the random variable using words, tell what kind of distribution each has, and calculate the probabilities. Every day when Sally drives to school, she has a 70% chance of not finding a parking spot in the closest lot to her classroom (otherwise, she finds a spot). Each day is independent, meaning that finding a spot on one day doesn’t change the probability of finding a spot on any other day.

(a) (3 points) What is the probability that the tenth day is the fifth day that she gets a spot in the closest lot?

(b) (3 points) What is the probability that the tenth day is the first day that she gets a spot in the closest lot?

(c) (3 points) What is the probability that the she gets to park in the closest lot in 5 out of the next 10 days?

(d) (3 points) If she parks in the close lot at least 3 times in a week (5 days), she will treat herself to ice cream. What is the probability that she gets ice cream?

1. What is the “discounted present value” of future returns and how does it relate to the “interest rate”?  Who do you expect values future returns more: you or your parents? Why?

2. Read Liza Heinzerling and Frank Ackerman, “Pricing the Priceless” Real World Micro, article 6.1.
   1. What is cost-benefit analysis? How would you apply cost-benefit analysis to your decision to go to a public college or a private school? What are the benefits and what are the costs of going to each?
   2. What happens to your analysis if the interest rate rises? What happens if the payoff period shrinks? Would you expect your parents to go to college?
   3. How would you apply cost-benefit analysis to environmental policy? What are the costs of pollution? What are the benefits? Who receives the benefits, and who bears the costs? When the benefits in the costs are received in different times, how can you compare them? What happens if you use a lower discount rate or a higher one?

ultiplication problems

The following table contains data regarding compliance with following directions on prescriptions with the level of

education a person has. Use this data to answer the following questions.

13. If 2 of the 100 subjects are randomly selected, find the probability that they are both PhD’s who followed the

prescription.

14. If you randomly select two people, what is the probability that you will select a person who has only their high

school diploma and a person who doesn’t follow the prescription?

15. If you randomly select two people, what is the probability that you will select a person who has their master’s

degree and a person who follows the prescription?

16. If you randomly select two people, what is the probability that you will select a person with a PhD who doesn’t

follow their prescription and a person with a Master’s degree who doesn’t follow their prescription?

PLEASE ANSWER ALL QUESTIONS !

1. Gwen suspects fraud is occurring at a hotel she manages. Historically, each of her hotels spends $8,250 per month in maintenance expenses with a standard deviation of $1,070. At the suspect hotel, the last 31 months have averaged $8,490 in maintenance expenses. Gwen thinks the hotel is spending significantly more than the others. Use the 10% significance level.

Calculate the value of the test statistic.

Select one:

a. 0.87

b. 0.89

c. 1.36

d. 1.25

e. 1.54

2. Harley is working as a waiter at a restaurant while paying his way through school. The manager told him he could expect $95 per night in tips with a standard deviation of $30. However, after 32 nights he is averaging only $85 in tips. He wants to know if this is significantly different at the 5% significance level.

Calculate the value of the test statistic.

Select one:

a. -2.06

b. -1.61

c. -1.89

d. -2.26

e. -2.64

A (field) hockey player is running north at a speed of 8 m⋅s−1. A ball is coming directly towards her from the north at a speed of 18 m⋅s−1. She swings her stick forward, directly north, at a speed of 6 m⋅s−1 measured in her own frame of reference. What is the speed of the ball with respect to the hockey stick?

Relative to the hockey stick, the ball is travelling at ____ m⋅s−1.

Jane's brother Andrew leaves home for school at 8:00 am. He walks at 3.3 kph. At 8:20 am Jane discovers that Andrew has left his homework at home. She decides to follow him on her bicycle and give him his homework, but she wants to be back home in time for an online test at 9 am. What is the minimum constant speed at which she needs to ride? (Hint: At what time of day will they meet?)

Jane must ride at least ______ kph.

Paired-/Related Samples T-test

Use it to test whether there is a difference between the two conditions(note: conditions must be RELATED-participants provide in each condition).

You are interested in the relationship satisfaction of young adults before and after they go off to college/university, which separates them from their sweetheart. You asked four couples to rate the satisfaction of their relationship (on a scale of 0-50) before leaving for school and then again after a semester. Here are the data:

Pair Before After

1 40 32

2 38 31

3 36 30

4 42 31

1. State the null and alternative hypotheses as well as your criterion:

2 .State your assumptions

3. Calculate difference scores, the sum of difference scores and the sum of difference scores squared:

4. Calculate t

5. Figure out your degrees of freedom and use this to find the critical t value

6. Reject or fail-to-reject the null hypothesis and state your conclusions.

Required information Skip to question [The following information applies to the questions displayed below.] In 2019, Laureen is currently single. She paid $2,500 of qualified tuition and related expenses for each of her twin daughters Sheri and Meri to attend State University as freshmen ($2,500 each for a total of $5,000). Sheri and Meri qualify as Laureen’s dependents. Laureen also paid $1,800 for her son Ryan’s (also Laureen’s dependent) tuition and related expenses to attend his junior year at State University. Finally, Laureen paid $1,300 for herself to attend seminars at a community college to help her improve her job skills. What is the maximum amount of education credits Laureen can claim for these expenditures in each of the following alternative scenarios? (Leave no answer blank. Enter zero if applicable.)

c. Laureen’s AGI is $45,000 and Laureen paid $12,200 (not $1,800) for Ryan to attend graduate school (i.e, his fifth year, not his junior year).

In a study entitled Sleep Disorders in Children with Incidental Pineal Cyst on MRI: A Pilot Study by Del Rosso, et al. involving children aged 6–12 years, who were referred for evaluation of headaches, tics, or syncope, and had an incidental pineal cyst on an otherwise normal brain MRI, it was found out that school-age children with pineal cysts have significantly increased levels of sleepiness and difficulty with sleep initiation and maintenance than those with normal MRI.

6. Describe the gross anatomy of the pineal gland.

7. Enumerate the different types of cell of the pineal gland.

8. In the study, propose a logical reason why children who have incidental finding of pineal cyst on brain MRI had significantly increased levels of sleepiness and difficulty with sleep initiation than those with normal MRI.

9. How does pineal gland play a role in jet lag syndrome?

10. Enumerate the tumors that may arise from the pineal gland.