1. A group of students with normally distributed salaries earn an average of $6,800 with a standard deviation of $2,500.

(a) What proportion of students earn between $6,500 and $7,300?

(b) What are the first and third quartiles of students’ salaries?

(c) What value of salary in $ exceeded the 95% probability?

A administrator wants to know what is the average starting salary, μ, for students graduating from her college. She is able to obtain data for 100 randomly selected students. For these 100 students, the average is $70,000, and the SD is $10,000. What is a 99% confidence interval for μ?

Identify the field and explain how you would run your remote learning classroom, keep in mind you have students that have some disabilities, some students who don't understand english, some students who may not have technology. (a paragraph)

(Analysis of Transactions' Effect on SCF) Each of the following items must be considered in preparing a statement of cash flows for Cruz Fashions Inc. for the year ended December 31, 2020.

• 1.Fixed assets that had cost $20,000 6½ years before and were being depreciated on a 10-year basis, with no estimated scrap value, were sold for $4,750.
• 2.During the year, goodwill of $15,000 was considered impaired and was completely written off to expense.
• 3.During the year, 500 shares of common stock with a stated value of $25 a share were issued for $32 a share.
• 4.The company sustained a net loss for the year of $2,100. Depreciation amounted to $2,000 and patent amortization was $400.
• 5.Uncollectible accounts receivable in the amount of $2,000 were written off against Allowance for Doubtful Accounts.
• 6.Debt investments (available-for-sale) that cost $12,000 when purchased 4 years earlier were sold for $10,600.
• 7.Bonds payable with a par value of $24,000 on which there was an unamortized bond premium of $2,000 were redeemed at 101.

Instructions

For each item, state where it is to be shown in the statement and then how you would present the necessary information, including the amount. Consider each item to be independent of the others. Assume that correct entries were made for all transactions as they took place.

Suppose the inverse demand for a product produced by a single firm is given by P = 200 − 5Q and this firm has a marginal cost of production of MC = 20 + 2Q.

a. If the firm cannot price-discriminate, what is the profit-maximizing price and level of output for this monopolist? What are the levels of producer and consumer surplus in the market? What is the deadweight loss?

b. If the monopolist can practice perfect price discrimination, what output level will it choose? What are the levels of producer and consumer surplus and deadweight loss under perfect price discrimination?

c. Suppose that the monopolist’s marginal cost curve is now MC = 20. If the monopolist cannot perfectly price discriminate but can distinguish between students (with a demand curve of P = 100 − 10Q) and non-students (with a demand curve of P = 300 − 10Q), what will be the price it is charging to students and non-students? What will be the quantity it is selling to students and non-students?

A math teacher tells her students that eating a healthy breakfast on a test day will help their brain function and perform well on their test. During finals week, she randomly samples 45 students and asks them at the door what they ate for breakfast. She categorizes 25 students into Group 1 as those who ate a healthy breakfast that morning and 20 students into Group 2 as those who did not. After grading the final, she finds that 48% of the students in Group 1 earned an 80% or higher on the test, and 40% of the students in Group 2 earned an 80% or higher. Can it be concluded that eating a healthy breakfast improves test scores? Use a 0.05 level of significance.

H₀: P₁ = P₂

H_1: P₁ > P₂

Enter the test statistic - round to 4 decimal places.

Enter the p-value: round to 4 decimal places.

You are interested in studying the effect of laptops in class on students’ performance. At the beginning of the quarter, you randomly assign your 250 students to sit on either the left half or the right half of the lecture hall. Students on the left half are told to bring laptops to class and to take notes on their laptops. Students who sit on the right side of the room are required to write notes on paper. At the end of the quarter, you compare their performance on the final exam, and find that the n = 125 students in the laptop group got an average score of 84% on the exam (SD = 8%), and the students in the longhand group got an average score of 80% on the exam (SD = 7%).

1. Compute a t-statistic to compare the two groups’ performance.

2. Compute the standardized effect size.

3. Interpret the effect size you computed in the previous question. What, precisely, does that number mean?

A state’s Department of education reports that 43 percent of all college students in the state are foreign students. The state university wonders if the state’s claim is valid for diversity purposes. Admission officers from the university want to ensure that a significant portion of the applicants accepted were in fact foreign students. They sampled over 6,000 recently admitted students to gain an estimate for their university.

A) The admissions officers want to estimate the true percentage of foreign students on campus to within ±5%, with 95% confidence. How many applications should they sample?

B) They actually select a random sample of 550 applications, and found that 45%were foreigners. Create the 90 percent confidence interval. Be sure to verify the conditions.

C) Interpret what 90% confidence means in this context.

D) Should the admissions officers conclude that the percentage of foreign students in the college is lower than statewide enrollment rate of 43%? Explain.

On a statistics test for a class of 40 students, the grades were normally distributed.The mean grade was 74, and the standard deviation was 8.

2. Janis scored 76 on this test.

A. What was her z-score for this grade

b. What percent of the class scored lower than Janis?

c. Approximately how many students in the class scored lower than Janis?

3. The minumum passing grade on this test was 70. Approximately how many students scored lower than 70 on this test.

4. To receive an “A” on this test, a minimum grade was required. How many students scored above 90?

5 Ronnie’s grade was the 85th percentile, P85, for this test.

A. This means that_____ percent of students in the class scored lower than ronnie, and ___ percent of students scored higher than Ronnie.

b. What was roonie’s grade on this test.

Big State U charges in-state and out-of-state students different tuition rates. In-state students pay $2,000 a term and respond according to the following demand equation:

Q₁ = 25.000 - 3T i

Where Qi is in-state student enrollment and Ti is in-state tuition. Out-of-state students pay $4,500 a term and their demand is:

Qo = 45000 - 8To

WHere Qo is out-of-state enrollment and To is out-of-state tuition.

a) Calculate the number of each type of student which will enroll and the total enrollment at Big State. Calculate price elasticity for each type of student.

b) Assume the marginal cost for students is $3,000 per student. Is Big State charging an optimal tuition rate for in-state students? Explain.  

c) Assume the school wishes to institute these tuition changes. What might be the response of students? What about state taxpayers?