Statistics and Probability Answers

 An importer of electronic goods is considering packaging a new, easy-to-read instruction booklet with DVD players. It wants to package this booklet only if it helps customers more than the current booklet. Previous tests found that only 30% of customers were able to program their DVD player. An experiment with the new booklet found that 16 out of 60 customers were able to program their DVD player.

(a) State the null and alternative hypotheses.

(b) Describe Type I and Type II errors in this context.

(c) Find the p-value of the test. Do the data supply enough evidence to reject the null hypothesis if alpha = 0.05?

suppose the mean weight of all the students in this examination hall is 54 kgs, and the standard deviation is 4 kgs. what percentage of students will fall between 44 to 62 kgs? justify your answer

Four numbers have a median of 30, a mode of 50 and a mean of 29. What are the numbers?

Sometimes I buy M&M’s instead of peanuts (like I did in the example yesterday). Find the

SAMPLE standard deviation of the number of chocolates in these six bags. You are more than welcome to create a chart below the data to help you find the solution.

21, 30, 25, 19, 24, 28

Problem 1

Calculate and interpret the correlation coefficient of the two variables below.

Person

Hand

Height

A

17

150

B

15

154

C

19

169

D

17

172

E

21

175

suppose the mean weight of all the students in this examination hall is 54 kgs, and the standard deviation is 4 kgs. what percentage of students will fall between 44 to 62 kgs? justify your answer

1.    By taking one practical research problem please briefly discus about it in the perspective of methodology of econometrics?(5)

2.    Explain the differences between endogenity and autocorrelation? Under which circumstances is one most likely to encounter each of these problems? Explain in general, the procedure for dealing with each? Do these techniques have anything in common? Explain.(5)

3.    What estimation bias will occur using OLS if (4)

1. An endogenous variable is included in the model.
2. A relevant variable is excluded from the model.
3. The error terms are hetroscedastic?
4. How do you overcome these biases?

4.    Give an economic example where you could encounter simultaneity bias and show how you estimate it.(4)

5.    Give practical economic research objectives that fit with Probit/Logit  and tobit models and why? (7)

6.    Suppose your logit model output in analyzing factors affecting adoption of agricultural technology and found that the statistically significant and if the coefficient of income is 0.5, what does this mean?(5)

Association of attributes :

The patients reactions to the treatment are recorded in the following table. Test the hypothesis that the drug is no better than sugar pills foru cring colds. Let a =0.05.

Category

Drug, Sugar

Helped

52, 44

Harmed

10, 12

No Effect

20, 26

For a collected data of 10 random samples , we have 

  0.700 , mean is 0.742, SD is 0.040 . Test the statistic:

Out of 8000 graduates in a town 800 are females, out of 1600

graduate employees 120 are females. Use 2  at 5% level to

determine if any distinction is made in appointment on the basis

of sex: