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Identifying Appropriate Test Statistics Involving Population Mean Directions: Choose the best answer to the given questions or statements. 1. If the variance is known, what test statistic is appropriate? A. t-test C. two-tailed test B. z-test D. one-tailed test 2. One-sample t-statistic is used instead of one-sample z-statistic when A. H is known. C. u is unknown. B. o is known. D. o is unknown. 3. Based on the Central Limit Theorem, when the sample (n) is extremely large and the variance is unknown, what is the statistical test to be used? A. t-test C. two-tailed test B. z-test D. one- tailed test 4. Which of the following is NOT a consideration in using z-test/statistic? A. Variance is known. B. Sample standard deviation is known. C. The population mean is less than 30. D. Population standard deviation is known. 5. What appropriate tool is applicable if the population is normal, sample standard deviation is known, and sample is less than 30? A. t-test C. normal test B. z-test D. Central Limit Theorem 6. Which of the following symbols is NOT needed when t-test is used in computing values? A. n B. H C. a D. s13. L.V. Co. has an average sale of P37 million per week from their products in all their outlets. An area manager found out that the average gross sales from the 28 outlets under her jurisdiction is $32.5 million per week with standard deviation of P1.5 million. Does the mean sales of all outlets differ from the mean sales of the 28 outlets under her jurisdiction? In the given problem, what statistical tool is suitable to use? A. t-test C. ANOVA B. z-test D. chi-square test 14. A cellular battery manufacturer claims that his battery when fully charged has mean life of 24 hours with standard deviation of 4 hours. A dealer randomly chose sample of 35 batteries to be tested and resulted to 22.5 hours mean life. In the given situation, 22.5 hours is A. sample mean C. sample standard deviation B. number of sample D. population standard deviation 15. According to a study, there is an increase on average monthly expenses of P250.00 for cell phone loads of Senior High School students in the city. Is there a reason to believe that the amount increased if sample of 60 students has an average monthly expense of P280.00 and the population standard deviation is P77.00? What is the tool to be used in computing the test value? A. z-test C. left-tailed test B. t-test D. alternative test7. If in a sample n=16 selected from a normal population, x = 56 and s = 12, what statistical test is applicable to be used? A. f-test C. z-test B. t-test D. Central Limit Theorem 8. Based on Central Limit Theorem, the z-test for single sample may be used when all the following conditions are TRUE except A. Sample size is less than 30. B. Data are normally distributed. C. Population standard deviation is known. D. Population standard deviation is unknown. 9. What is the sample standard deviation if a simple random sample of 220 students is drawn from a population of 2,740 college students? Among the sampled students, the average IQ score is 115 with standard deviation of 10. A. 10 B. 115 C. 220 D. 2,740 10. The supervisor of a certain company claimed that the mean workday of his workers is 8.3 hours per day. A sample of 20 workers was taken and it was found out that the mean workday is 8 hours with standard deviation of 1 hour. At 0.01 level of significance, is the mean workday less than 8.3 hours? What test statistic is to be used in the given problem? A. z-test C. right-tailed test B. t-test D. left-tailed test 1 1. Based on the problem in no. 10, 8.3 hours is A. o B. H C. f D. s 12. A leader of an association of jeepney driver claims that the average daily take-home pay of all jeepney drivers in Caloocan is $350.00. A random sample of 100 jeepney drivers in Caloocan was interviewed and the take- home pay was found to be P420.00. If 0.05 significance level was used to find out whether the average take home pay is different from $350.00 and population variance was assumed to be P92.00, what is the appropriate test statistic? A. t-test C. left-tailed test B. z-test D. right-tailed test
