ACTIVITY 1: 2. A sociologist believes that it cost more than P 90 000 to raise a child from birth to age 1. 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 P92 000 with standard deviation of P4500. 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: Ho: Ha: Step 2: Type of test Step 3: Compute the test value, using the formula or test statistic ACTIVITY 2 3. The production manager of a large manufacturing company estimates that the mean age of his employees is 22.8 years. The treasurer of the firm needs a more accurate employee mean age figure in order to estimate the cost of an annuity benefit program being considered for employees. The treasurer takes a random sample of 70 workers and finds out that the mean age of employees sampled is 26.2 years with a standard deviation of 4.6 years. At 0.01 level of confidence, what can the treasurer conclude about the accuracy of the production manager's estimate? Step 1: Ho: Ha: Step 2: Type of test Step 3: Compute the test value, using the formula or test statistic 17ACTIVITY 3: 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: Formulate the null and alternative hypotheses Ho: Ha: Step 2: Type of test Step 3: Compute the test value, using the formula or test statistic Given: DAY 4: ACITVITY 4: 1. Perpetrators of a crime who have been given the maximum sentence of 10 years are believed by a fiscal to have been sentenced to no more than 7 years on the average. A random sample of 20 of this crime offenders reveals a mean sentence of 7.6 years with standard deviation of 2.4 years. Is the fiscal correct in his suspicions at 0.05 level of significance? Step 1: Formulate the null and alternative hypotheses Ho: Ha: 10 60 Step 2: Type of test Step 3: Compute the test value, using the formula or test statistic Given:2- The department of environment and natural resources orders the cities in a metropolis with a P00r enwmnmental record to clean up its air. The department states that the cities must ensure a carbon monoxide content in the air is not more than 50 ppm (parts per million) on average. Aer the supposed cleanup, a random sample of 17 air samples had a mean carbon monoxide content of 65.2 ppm with a sample standard deviation of 12.1 ppm. Does this provides strong evidence that the cities have not complied with the department's order? Use alpha=0.05 ,, Formulate the nulland alternative hypotheses Ho: Ha: Type of test Compute the test value, using the formula or test statistic Given