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Activity 1: neds brom ei nsm ovitiming s to limale or lo istomaib ord isdi soveiled migologoudins BA see Solve the problem using the 5-steps initesting the hypothesis cissy vosm 19f1A esdoni ord tardi bebulonoo ed ti as) zordoni S. I to noisiveb bisbaste new gordoni 8.0 ad of bruol zi 1. The average baptismal cost include 50 guests.IA random sample of 32 baptismal during the past year in the National Capital Region had a mean of 53 guest and a standard deviation of 10. Is there sufficient evidence at the 0.05 level of significance that the average that the average number of guest differs from the national wage? :1 qs12 2. Powdered milk is packed in 1 kilogram bag. An inspector from the department of Trade and industry ( DTI) suspects the bags may not contain 1 kilogram. A sample of 40 bags produces mean of 0.96 kilogams and standard devation of 0.12 kilograms. Is there enough evidence to conclude that the bags do not contain 1 kilogram stated at a = 0.05 :5 q912 ACTIVITY 2: 1. The average amount of rainfall during the summer months is 11.52 inches. A researcher in PAG-ASA selects a random sample of 10 provinces and finds that the average amount of rainfall last year was 7.42 inches with standard deviation of 1.3 inches. At 0.01 level of 2 significance, can it be concluded that the mean rainfall last year was below 11.52 inches? Solution: Step 1: Step 2: : q912 Step 3: :2 q912 Step 4: ASActivity 3: Solve the following problems. Specify the details of the steps in the solution process. diameter of the skull of a primitive man is more than 7 inches. After many years of search, 6 skulls of this type is found.- The' mean diameter of these IS found to be 6.8 inches with standard deviation of 1.2 inches. Can it be concluded that the anthropologist is contact at the 0.05 level of signicance? ' 1. An anthropologist believes that the Activity 4: It is hypothesized that the cost of making a movie is P 24.6 million. This year, a random sample of 15 movies has shown an average production cost of P 28.3 million with standard deviation of P 9.5 million. At 0.01 level of significance, is the hypothesized cost true? Step 1: Step 2: Step 3: Step 4: Step 5:1. A researcher reports that the average salary of company managers is more than P 63 000. A sample of 35 company managers has a mean salary of P 65 700. At a = 0.01, test the claim that the company managers earn more than P 63 000 a month. The standard deviation of the population is P 5,250. Solution: Given: X = P 65 700 u = P 63 000 0 = P 5250 n=35 .. . 1. Step 1: State the hypotheses and identify the claim, Ho: u = P 63 000 Ha: u > P 63 000 (claim) Step 2: The level of significance a = 0.01 Step 3: The critical z value is 2.326 One-tailed test Compute the one sample z test value 2 = ( x -u ) Vn (65 700-63 000)V35 5250 z= 3.043 Step 4: Decision Rule: Reject the null hypothesis at a = 0.01 since 3.043 > 2.326 0 2.326 3.043 Step 5: Conclusion:. Since we reject the null hypothesis, we can conclude that there is enough evidence to support the claim that the monthly salary of company managers is more than P 63 000.A sociologist believes that it cost more than P 90 000 to raise a child from birth to age one. A random sample of 49 families, each with a child is selected to see if this figure is correct. The average expenses for these families reveal a mean of P 92, 000 with standard deviation of P 4500. Based on these sample data, can it be concluded that the sociologist is correct in his claim? Use 0.05 level of significance Solution: Step 1: State the hypotheses and identify the claim Ho: M = P 90 000 Ha: u > P 90 000 (claim) Step 2: The level of significance a = 0.05 Critical value z= + 1.65 One tailed test Step 3: The critical z value is 2.326 One-tailed test Compute the one sample z test value 2 - ( X-u)vn (92 000-90 000) V49 $500 z= 3.11 Step 4: Decision Rule: Reject the null hypothesis since it falls within the rejection region, therefore accept the alternative hypothesis. Step 5: Conclusion: There is a significant difference between the sample mean and the population mean. Thus the sociologist is correct in claiming that the cost of raising a child from birth to age one is more than P 90 000