Kamini, a student of the 1-Year post graduate program at the International School of Business and Design is trying to establish the relationship between compensation (in Rs. Lakh) and years of work experience. She collected data from 9 students who have been placed and fitted a regression equation with Compensation (in Rs. Lakh) as the dependent variable and Years of experience as the independent variable. The Excel output is given below (with some missing values):

Answer the following questions based on the above.

1. What is the value of Regression Sum of Squares?

2. What is the 95% confidence interval for the slope?

3. What is the estimated compensation for a person with 8 years of experience?

4. What is the coefficient of correlation between Compensation and Years of experience?

5. What is the R2 for the above regression equation?

6. What is the t-value corresponding to the intercept?

7. Interpret the value 0.004177 under the column “P-Value”

8. What is the expected compensation for a person with no work experience?

9. The above output provides 95% confidence interval for the intercept. What is the lower limit for the 90% confidence interval for the intercept?

10. The above output provides 95% confidence interval for the intercept. What is the upper limit for the 90% confidence interval for the intercept?

A high school physics teacher wondered if his students in the senior class this year will be more likely to go into STEM (Science, Technology, Engineering, Mathematics) majors than Social Science and Liberal Arts majors. He asked each of his 65 students about their first choice for major on their college applications and conducted a Chi-square test for goodness of fit with an alpha level of .05 to see if the number of students choosing each category differs significantly.

35 – STEM

20 – Social Sciences

10 – Liberal Arts

a. What is the variable in this test? What type of variable is it (nominal, ordinal, or continuous)? (1 point total: .5 for each question)

b. State the null and alternative hypotheses in words (1 point total: .5 for each hypothesis)

c. Calculate X² statistic (2 points total: 1 for final answer, 1 for the process of calculating it)

d. Calculate the degree of freedom and then identify the critical value (1 point total: .5 for df, .5 for critical value)

e. Compare the X² statistic with the critical value, then report the hypothesis test result, using “reject” or “fail to reject” the null hypothesis in the answer (1 point total, .5 for each answer)

f. Explain the conclusion in a sentence or two, to answer the research question. (1 point)

The school bookstore wants you to write a Python script to calculate the point of sale (total cost) of their new 25$ gift cards. They are also running a special, if a customer buys a gift card they can buy all books for 5$ dollars each. The gift card cost is $25.00 plus $5.00 per book. In addition, there is a sales tax which should be applied to the subtotal and it is 8% (multiply the subtotal by 0.08.) Requirements: Write a Python script (with meaningful comments) that has a main() function. Have that main() function call another function to display a welcome to the customer. In the main() function, ask the user how many gift cards they would like and how many books they have picked out. Function requirements are as follows: You must write a function to calculate the cost for the gift card(s), a function to calculate the cost of the books, and a function that takes the subtotal applies the 8% (multiply by 0.08) sales tax then returns the total to main(). Display the subtotal in main(). Round all dollar amounts to 2 decimal places (note: python will truncate unnecessary 0s without formatting so do not worry if output only has the tenths place). Only function definitions and the call to main() can be at 1st level indentation. For a challenge, see if you can make your main function contain less lines that the other functions.

Examples:

Welcome to the bookstore!

Gift cards are $25.00 each

Each book costs $5.

How many gift cards do you want? 1

How many books do you have? 2

Your subtotal is $35

Your total is $37.8

and

Welcome to the bookstore!

Gift cards are $25.00 each

Each book costs $5.

How many gift cards do you want? 2

How many books do you have? 4

Your subtotal is $70

Your total is $75.6

A high school is examining whether or not a certain college admissions test prep course is helpful. To evaluate this, 15 students took the college admissions test. Afterwards, they went through the prep course and then took the admissions test again. Their before and after scores are shown below. With a significance level of 0.90, is the admissions test prep course effective?

Student Before After

1 27 29

2 28 29

3 30 31

4 32 31

5 16 20

6 25 27

7 27 27

8 25 26

9 27 30

10 23 28

11 25 26

12 24 24

13 22 25

14 31 32

15 25 25

There are 723 seniors at a large high school.

(a) Explain how you would use a random number table to select a random sample of 30 seniors. Explain your method clearly! I should be able to hand you directions to Mr. Carter and he should be able to select the sample.

(b) Using the random digits below, select the first five seniors using your method from Part (a).

73190 32533 04470 29669 84407 90785 65956 86382

95857 07118 87664 92099 58806 66979 98624 84826

Suppose the scores of a certain high school diploma test follow a normal distribution in the population with a mean of 195 and standard deviation of 30.

1. About ______ percent of the students have a score between 135 and 195.

2. About ______ percent of the students have a score between 225 and 255.

3. The middle 95% of the students have a score between ________  and ________   .

4. Recently class A just had a Math exam, but class B had a Verbal exam.

- Joe in class A has a math score of 160, and all the math scores in class A have a mean of 140 and a standard deviation of 10.

- Eric in class B has a verbal score of 80, and all the verbal scores in class B have a mean of 50 and a standard deviation of 12.

Let’s assume students in classes A and B have very similar academic background, and both classes are hugh classes with lots of students. Then roughly speaking, relative to their respective classmates, who did better in the recent exam, Joe or Eric?

5. A sample consists of 26 scores. What is the degrees of freedom for the sample standard deviation?​

The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=548.8μ=548.8 and standard deviation σ=26.4σ=26.4.

(a) What is the probability that a single student randomly chosen from all those taking the test scores 555 or higher?
ANSWER:

For parts (b) through (d), consider a simple random sample (SRS) of 35 students who took the test.

(b) What are the mean and standard deviation of the sample mean score x¯x¯, of 35 students?
The mean of the sampling distribution for x¯ is:
The standard deviation of the sampling distribution for x¯ is:

(c) What z-score corresponds to the mean score x¯ of 555?
ANSWER:

(d) What is the probability that the mean score x¯ of these students is 555 or higher?
ANSWER:

scholes shoes ltd is a retailer for kids school shoes and they have produced the following unadjusted trial balance:

Scholes shoes ltd

trial balance as at December 31, 2018

the following additional information was made available at December 31, 2018

a) insurance of $1,600,000 was paid on January 1, 2018 for the period January 2018 to April 2019

b) The company building has an estimated life of (10) years and is being depreciated on the straight-line method of depreciation, down to a residual value of $0

c) The fixtures and fittings are being depreciated over (10) years on the double-declining method of depreciation, down to a residue of $128,849

d) Wages earned by the company's employees and not paid at December 31, 2018 amounted to $130,000

e) A physical count of inventory at December 31, 2018, reveals $405,000 worth of inventory on hand

f) the aging of the accounts receivable schedule at December 31, 2018 indicated that the estimated uncollectible on accounts receivable is $120,000

Required:

1) Prepare the necessary adjusting entries on December 31, 2018

2) Prepare the company's Multiple-step Income Statement for the year ended December 31, 2018

3) Prepare the company's Statement of Owner's Equity for the year ended December 31, 2018

4) Prepare the company's classified Balance Sheet at December 31, 2018

3. Knowing that a university has the following units/campuses: A, B , the medical school
in another City. You are interested to know on average how many hours per week the university
students spend doing homework. You go to A campus and randomly survey students walking
to classes for one day. Then,this is a random sample representing the entire
university students population.
True False
4. The Law of Large Number(LLN)is related with the concept of convergence in probability, while The
Central Limit Theorem(CLT)is related with convergence in distribution.
True False
5.You have a cross-sectional dataset with an independent variable X and a dependent variable Y.You
find a positive correlation between X and Y.Then you can conclude that X causes Y.
True False
6. In a cross-sectional dataset the order of the observations is arbitrary,while in a time series dataset the
order is important because it is likely that we have correlated observations.
True False
7. Consider the following simple linear regression model:y=Bo+B1t+u.The essential assumption to
derive the estimators of Bo and B1 through the Method of Moments is E(u|X)=0.
True False

8. Consider the following simple linear regression model: y=B0+B1x+u. when we derive the estimators for B0 and B1 we get 2 foc

True False

The average LSAT score (the standardized test required to apply to law school) in the United States is µ =150 (σ = 10). Also, the LSAT is normally distributed. Use these parameters to answer the following questions:

• If someone took an LSAT test and received a 153, what proportion of scores will be less than this?
• If someone took an LSAT test and received a 143, what proportion of scores will be greater than this?
• What proportion of LSAT scores will be within the interval of 138 to 172?
• What proportion of LSAT scores will be outside the interval of 125 to 175?
• If someone wants to have an LSAT score higher than 90% of all other test-takers, what score do they need to earn?