Statistics and Probability

1) 2) 3) 4) What test should be utilized if an economist wishes to determine whether there isievidence that average family income in a community exceeds P15,000? ' A. A two-tail test should be utilized B. A one-tail test should be utilized to the left ' C. A one tail test should be: utilized to the right D. Either one tail or two-tai'test could be used'With equivalent results. _ A teacher wants to know how well his students perform in his Statistics class relative to students in other Statistics classes in the school. He administers a standardized test which students in other classes had taken with a mean of 65 and standard deviation of 10. His class has 50 students. Which statistical method should he use?_ A. t-test B. z-test C. Both t and 2 test D. None of these Which of the following terms should be used to complete the statement, \"In a two- sample test of means for independent samples, the equal sign always appears in the ."? A. Alternate hypothesis ' C. Null hypothesis B. Left tail of the test statistic D.- Right tail of the test statistic Consider a hypothesis where Hg: {1:23 against H1 : Itl 5. What type of test will be administered? A. Right tailed B. Centered tailed C. Left tailed D. Non directional 6) Which test statistic shouid be used using the given information below? H0: 1.1: 350 H1: u) 350 - A. p- -test B. t- test . C. v-test D.z-test 7) What is the signicance level if the level of confidence is 99%? A. 0.1 B. 0.01 C. 0.05 . D. 0.5 8) Which test statistic to be used given it = 10, s = 5.1,n = 10 ,1': = 7.8? ' V A. p-test B. t- test C. v- -test D. z-test 9) Suppose that the z is the test statistic for hypothesis testing, what 15 the value of 2 if 11:100. 0:12 n '- 130, x=927 , A. -6. 72 B.- 6.72 C 7. 62 . y ' D. -7.62 10) A wine manufacturer claims that the average selling price'of all the manufactured wine cost only 250 pesos. A buyer wants to test whether the mean selling price if all the wine manufactured exceed 250 pesos. Which' Is the appropriate rejection region? A. The rejection region is located at th'e right tail of the distribution curve. B. The rejection regions are located at both tail of the distribution curve C. The rejection region is located at the left tail of the distribution curve. D. None of the above. 11) What is the critical value/s of a: 0.05 in a two tailed test? A. i 1.95 B. i196 . C. 11.97 D. 11.98 12) What is the critical value of 0.01 level of signicance when the alternative hypothesis indicates at? A. 2.575 B. 2.675 ' C. 2.775 . D. 2.875- 13) The average test score of entire school is 78 with standard deviation 10. A teacher took a random sample of 10 students and scored 75. What is the population mean? A. 8 B. 10 _- C. 75 9.78 14) The average test score for entire school is 78. The standard deviation of a random sample of 12 students is 10 with an average test score of 80. What is the sample mean? A. 10 B. 12 - ' c. 78 D. 80 15) The average test score for entire school is 85 with a standard deviation of 8. A random sample of 10 students scored above 87. What is the statistic value using z = 1;\" 7 J; A. 3.16 B. 3.17 C. 3.18 D. 3.19 For items 16-18, use the problem below. A company claims that the label on a can of pineapple slices states that the mean carbohydrates content per serving of canned pineapple is over 50 grams. It may be assumed that the standard deviation of the carbohydrate content a is 4 grams. A random sample of forty servings has a mean carbohydrate content of 52. 3 grams. Use a: 0. 05. 16) What' IS the tabulated value of Z? ' A. 1.93 B. 1.94 .7.' 61.96 . .. D. 1.97 17) What is the value of computed Z 7 ' ' A. 3.62 B. 3.63 c. 3.64 . D. 3.65 18) Will you accept the claim of the company? A. No, because the Z: is less than 2; B. No, because the Zt is greater than 26. C. Yes, because the Z t is greater than 26. D. Yes , because the Z; is less than Zc. 19) The average test score of entire school is 78. The random sample of 32 with standard deviation 9. The- average test score of the sample is 84-. What is the computed z-value? A. 3.771 8.3.778 (2.3877 . D3678 - 20) What IS the test statistic when the population mean is 0.610 the sample mean 0. 587 standard deviation is 0.123 and the number of samples is 4-0? A. 1.17 B. -1.18 c. -1.19 D. -1.20