Multiple choice. (show solutions and explanations)

1. If the population N=1000 and you will make a sampling distribution, how many sample of size 2 are there? a. 10,000 b. 100,000 c. 1,000,000 d. 10,000,000

2. What is the standard error of a given sample proportion of 3/5 and a sample size of 16? a. 0.6 b. 0.4 c. 0.015 d. 0.12

3. Consider a school district that has 10,000 grade 11 students. In this district, the average weight of a student is 45kg, with a standard deviation of 10kg. Suppose you draw a random sample of 50 students. What is the probability that the average weight of sampled students will be less than 42.5kg? a. 0.038 b. 0.041 c. 0.863 d. 0.0478

5. In relation to #4, what is the standard error? a. 2.5 b. 0.10 c. 1.414 d. 1.50

For numbers 6-8, refer to the problem:

The Municipal Planning officer of a certain town wants to determine if the average wage of laborers in the municipality is below 320 pesos. A random sample of 40 laborers that he asked in the municipality gave him a mean of 300 pesos per day with a standard deviation of 50 pesos. Using this information.

6. What is the 99% confidence interval estimate? a. [280, 320] b. [285, 315] c. [287, 313] d. [290, 310]

7. What is the 95% confidence interval estimate? a. [280, 320] b. [285, 315] c. [287, 313] d. [290, 310]

8. What is 90% interval estimate? a. [280, 320] b. [285, 315] c. [287, 313] d. [290, 310]

For numbers 9-12, refer to the problem:

The father of the senior high school student is starting to plan for the expenses to be included in sending his son to the university. In a university where he wanted his son to study, he heard that the average matriculation fee is at least 15,000 pesos. He assumes that the variable of interest which is the matriculation fee follows the normal distribution. The father asked a random 25 students of the university on their matriculation fee paid in a given semester and that he was able to get an average of Php15, 500 with a standard deviation of 500 pesos.

9. What must be the null hypothesis? a. Ho: > 15,000 b. Ho: 15,000 c. Ho: = 15,000 d. Ho: < 15,000

10. What must be the alternative hypothesis? a. Ho: > 15,000 b. Ho: 15,000 c. Ho: = 15,000 d. Ho: < 15,000

11. What is the t0 value? a. 2.5 b. -2.5 c. 1 d. -1

12. What is the conclusion or decision for this problem? a. We reject Ho. b. We accept Ho. c. We neither accept nor reject d. insufficient data