A. Identify if the given hypothesis about the statement is the null or thealternative hypothesis and write it in symbols. 1. An airline company claims that its flight arrived early 92% of the time. H____ = All of the flights arrive early 92% of the time. In symbols, __________________________________ 2. An investment company claims that its clients make an average of 8% return on investments every year. H____=Clients do not make an average of 8% return on investments every year. In symbols, __________________________________ 3. The General Manager of an air conditioner tells an investigative reporter that at least 85% of its customers are "completely satisfied" with their overall purchase performance. H____ = Customers who are completely satisfied with their overall purchase performance is lesser than 85%. In symbols, __________________________________ 4. A student counselor claims that Grade 7 Math students spend an average 3 hours per week doing exercises in each subject. H____ = The average number of hours per week spent by students in doing exercises in each subject is 3 hours. In symbols, __________________________________

B. Answer the following questions. 5. Which of the following describes a Type I error? a. Accepting the null hypothesis when it is true b. Failing to accept the alternative hypothesis when it is true c. Rejecting the null hypothesis when it is true d. Failing to reject the alternative hypothesis when it is false e. None of the above C. Determine the parameters in the given situations: 1. A car manufacturer advertises that a new car averages 39 miles pergallon of gasoline._______________________________________________________________

2. A company claims that only 1 out of every 200 computers it sells has a mechanical malfunction.____________________________________________________________

3. A hospital claims that only 5% of its patients are unhappy with the care provided. _______________________________________________________________

4. A health study states that American adults consume an average of 3,300 calories per day.________________________________________________________________

5. A study claims that adults watch television an average of 1.8 hours per day. _________________________________________________________________

A. Formulate the null and alternative hypothesis in the statement below interms of parameter ( or ). 1. The mean number of cars a person owns in her lifetime is not more than ten. _______________________________________________________________ 2. About half of Americans prefer to live away from cities, given the choice. _______________________________________________________________ 3. Europeans have a mean paid vacation each year of six weeks. ______________________________________________________________ 4. The chance of developing breast cancer is under 11% for women. ________________________________________________________ 5. Private universities' mean tuition cost is more than $20,000 per year. _________________________________________________________ B. Formulate the null and alternative hypotheses. Identify the test statistic to be used. A brand of powdered milk is advertised as having a net weight of 250 grams. A curious consumer obtained the net weight of 10 randomly selected cans. The values obtained are: 256, 248, 242, 245, 246, 248, 250, 255, 243 and 249 grams. Is there reason to believe that the average net weight of the powdered milk cans is less than 250 grams at 10% level of significance? Assume the net weight is normally distributed with unknown population variance. Null Hypothesis:__________________________________________________________

Alternative Hypothesis:_________________________________________________

Test statistic: _________________________________________________________ Select the best choice. Consider the given situation. A brand of powdered milk is advertised as having a net weight of 250 grams. A curious consumer obtained the net weight of 10 randomly selected cans. The values obtained are: 245, 248, 242, 245, 246, 248, 250, 245, 243 and 249 grams. Is there reason to believe that the average net weight of the powdered milk cans is less than 250 grams at 5% level of significance? Assume the net weight is normally distributed with unknown population variance.

1. What is the appropriate null hypothesis? A. The average net weight of the powdered milk cans is less than 250 grams. B. The average net weight of the powdered milk cans is at most 250 grams. C. The average net weight of the powdered milk cans is at least 250 grams. D. The average net weight of the powdered milk cans is 250 grams

2. What is the symbol for null hypothesis? A. Ho: < 250 g B. Ho: 250 g C. Ho: 250 g D. Ho: = 250 g

3. What will be the appropriate alternative hypothesis? A. The average net weight of the powdered milk cans is less than 250 grams. B. The average net weight of the powdered milk cans is at most 250 grams. C. The average net weight of the powdered milk cans is at least 250 grams. D. The average net weight of the powdered milk cans is greater than 250 grams.

4. What is the symbol for alternative hypothesis? A. Ho: < 250 g B. Ho: 250 g C. Ho: 250 g D. Ho: 250 g

5. Identify the level of significance. A. 5% B. 0.5% C. 0.10 D. 0.5

6. What kind of test will be used? A. One-tailed test. B. Two-tailed test C. Three-tailed test D. No-tailed test

7. What test statistic to be used? A. z =(x)/(/n) B. tc =(x)/(s/n) C. tc =(x)/(/n) D. zc =(x)/(s/n)

8. Find the value of the sample mean. A. x = 248.2 B. x = 246.01 C. 284.2 D. 246.115

9. Find the value of the sample standard deviation. A. s = 2.60 B. s = 4.164 C. s = 4.614 D. 2.06

10. Where is the side of the tail to be tested or the critical/rejection region? A. left side B. right side C. both side D. no side

11. What is the tabular value of the alpha? A. -4.383 B. -1.833 C. -2.262 D. -1.234

12. What is the appropriate decision rule? A. Reject Ho if the tC < -1.833. Otherwise, fail to reject the null hypothesis. B. Reject Ho if the tC < -1.383. Otherwise, fail to reject the null hypothesis. C. Reject Ho if the tC < 1.383. Otherwise, fail to reject the null hypothesis. D. Reject both null and alternative hypothesis.

13. Find the value of the computed test statistic. A. -4.743 B. 1.24 C. -1.23 D. -4.347

14. What would be the decision based on the computed test statistic? A. Reject the null hypothesis. B. Fail to reject the null hypothesis. C. Accept the null hypothesis. D. Reject both null and alternative hypothesis.

15. Based on the decision, what is the appropriate conclusion? A. Therefore, the average net weight of the powdered milk cans is less than 250 grams. B. Therefore, the average net weight of the powdered milk cans is at most 250 grams. C. Therefore, the average net weight of the powdered milk cans is at least 250 grams. D. Therefore, the average net weight of the powdered milk cans is indeed true or 250 grams.