3. According to the World Health Organization's statistics published in 2018, the lifespan of a person in the Philippines is 65 years old. A random sample of 30 obituary notices in the Philippine Daily Inquirer has an average mean of 65 years old with a standard deviation of 20 years. If the life span in the Philippines is normally distributed, does this information indicate that the population mean life span of Filipinos is less than 65 years old? Use 5% level of significance. Solution: Given: X=_A = 65 0 = = a= Step 1: Ho: H = Ha: u # Step 2: Determine the test statistic, then compute its value. Since n = 30, we will use_ Step 3: From the _-value table at 0.05 level of significance, the critical value is Step 4: Draw a conclusion. Since it is a -tailed test and the _-computed value is which is than the critical value of we the null hypothesis. We therefore conclude that