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ACTIVITY 1: Direction: Solve the following problems below. Fill in the blanks with the correct value/s or statement/s. It is claimed that the average age of working students in Paranaque City College is 25 years. A researcher selected at random a sample of 15 working students. The computed average age was 28 years with a standard deviation of 5 years. Does the average age of the working a student is different from 25 years? Use 0. 15 level of significance and assume normality in the population. Solution: Step 1: State the hypothesis and identify the claim. Ho : H_ (claim) Ha : P_ Step 2: Find the critical values. The critical values are for a = and d.f. = since the alternative hypothesis uses #, it refers to _test. Step 3: Compute the test statistic. t = - Step 4: Make the decision. PR Step 5: Summarize the results. Q4 Week No.5 Competency Code: M1 1/12SP-Illg-5 and M1 1/12SP-IIIg-2 layout: ricverbo-mpnag Problem 2. Last year the average cost of making a movie was P54.8 million. This year, a random sample of 15 action movies had an average production cost of P62.3 million with a sample variance of P90.25 million. At the 0.05 level of significance, can it be concluded that it costs more than the average to produce an action movie? Solution: Step 1: State the hypothesis and identify the claim. Ho : H (claim) Ha : H_ Step 2: Find the critical value. The critical value is for a = and d.f. = since the alternative hypothesis uses it refers to test. Step 3: Compute the test statistic. P t=. Sil Step 4: Step 5: Summarize the results