convention. attended a national ACTIVITY # 10 Different Types of Hypothesis Testing Compute the following word problems. State your answer in step by step process. (15 points each number) 1. A researcher claims that 30 year old women on a special diet will have an average weight of 110 pounds. A sample of 15 women has an average weight of 112.5 pounds and a standard deviation of 5 pounds. At a a = 0.01 can the claim be rejected? Solution: Step 1: State the hypothesis. Ho: H1: Step 2: The level of significance and critical region. a = _ df = and the tcritical = Step 3: Compute for the value of one sample t test. tcomputed = Step 4: Decision Rule. Step 5: Conclusion: 2. Average Senior High School annual cost of tuition fee for all private schools last year was Php43,700. A random sample of costs this year for 45 private schools indicated that the sample mean was Php45,800 and a sample standard deviation was Php5,600. GRADE 11 Page 102HMATH12 ISTATISTICS AND PROBABILITY] At 0.01 level of significance, is there sufficient evidence to conclude that the cost increased? Solution: Step 1: State the hypothesis. Ho: H1: Step 2: The level of significance and critical region. a = and the Zcritical = Step 3: Compute for the value of one sample t test. Zcomputed = Step 4: Decision Rule. Step 5: Conclusion: 3. A certified public accountant claims that more than 30% of all accountants advertise. A sample of 400 accountants in Rizal province showd that 112 had used some form of advertising. At a a = 0.01, is there enough evidence to support the claim? (Use p-value method). Solution: Step 1: State the hypothesis. Ho: H1: Step 2: Compute for the value of one sample t test. Zcomputed = Step 3: Compute for the p - value.HMATH12 [STATISTICS AND PROBABILITY] Step 4: Decision rule: Step 5: Conclusion. Reference: Significance level - Statistics By Jim Statistics and Probability for Senior High School - Winston S. Sirug, Ph. D. 2