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Need help. Please answer the following questions. Kindly show your solutions. Thank you. EXPLORE your understanding: Select the best choice. Consider the given situation. The

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Need help. Please answer the following questions. Kindly show your solutions. Thank you.

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EXPLORE your understanding: Select the best choice. Consider the given situation. The father of a senior high school student is listing down the expenses he will incur when he sends his daughter to the university. At the university where he wants his daughter to study, he hears that the average tuition fee is at least Php20,000 per semester. He wants to do a test of hypothesis. Suppose from a simple random sample of 16 students, a sample mean of Php19,750 was obtained. Further, the variable of interest, which is the tuition fee in the university, is said to be normally distributed with an assumed population variance equal to Php160,000 and level of significance a =5% Or 0.05. 1. What is the appropriate null hypothesis? A. The average tuition fee in the targeted university is at most Php20,000. B. The average tuition fee in the targeted university is at least Php20,000. C. The average tuition fee in the targeted university is less than Php20,000. D. The average tuition fee in the targeted university more than Php20,000. 2. What will be the appropriate alternative hypothesis? A. The average tuition fee in the targeted university is less than Php20,000. B. The average tuition fee in the targeted university is more than Php20,000. A. The average tuition fee in the targeted university is at most Php20,000. B. The average tuition fee in the targeted university is at least Php20,000 3. Identify the level of significance. A. 5% B. 0.5% C. 0.10 D. 0.5 4. What kind of test will be used? A. One-tailed test. B. Two-tailed test C. Three-tailed test D. No-tailed test 5. What test statistic to be used? A. ze = *-H B. to = *-H C. to = H-x D. ze = Xu Vn 6. Find the value of the population standard deviation. A. o = 300 B. o = 400 C. o = 500 D. O = 450 7. What is the tabular value of the level of significance or alpha? A. -1.645 B. -1.546 C. -1.654 D. -1.456 8. What is the appropriate decision rule? A. Reject H. if the Zc Z\". Otherwise, we fail to reject Ho. . Reject the null hypothesis (Ha) if IZL-I > 25. Otherwise, we fail to reject Ha. I 0:1 For the given problem, the first is the appropriate decision rule because our Ho used 2 as equality symbol. The decision rule must not overlap with the null hypothesis. Since the level of signicance a = 0.05 its tabular value from the z-tahle is 1.645, the decision rule for the problem could be stated as \"Reject Ho if 2; t. .._1. Otherwise. we fail to reiect H0. The decision rule can be one of the following possibilities: 1. Reject the null hypothesis (H a) if tc tm n_1. Otherwise, we Fail to reject Ho. 3. Reject the null hypothesis (H0) if Itcl > t5 "_1. Otherwise, we fail to reject Ho. 2. For the given problem, the rst is the appropriate decision rule because our Ho used 2 as equality symbol. The decision rule must not overlap with the null hypothesis. Since the level of signicance a = 0.05 its tabular value from the t-tnble is 2.064, the decision rule for the problem could be stated as "Reject Ho ich 2,. Otherwise, we fail to reject Ho. 3. Reject the null hypothesis (Ho) if ltcl > Z; . Otherwise, we fail to reject Ha. I For the given problem, the rst is the appropriate decision role because our Ho used 2 as equality symbol. The decision rule must not overlap with the null hypothesis. Since the level of signicance at = 0.05 its tabular value from the Z-table is 1.645, the decision rule for the problem could be stated as \"Reject Ho if tc , while it is a. two-tailed test when the inequality symbol used hm UP your knowledge: A. Complete the sentence by lling in the blanks with the comet term/value. 1. is made as a consguenee of decision. A. Complete the sentence by lling in the blanks with the comet termlvalue. 1. is made as a consequence of decision. 2. One of the decision rules is \"reject the null hypothesis (Ho) if tc

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