Please make sure that the handwriting is readable. Show all necessary steps and reasons. Define all symbols or terms carefully.

7. According to several previous literatures, the average lifespan of Filipinos is at most 70 years. A random sample of 29 recorded deaths during the past year showed an average life span of 71.8 years, with a standard deviation of 8.9 years. Assume normality of the lifespan. a. Does this seem to indicate that the average life span today is greater than the previous literatures have stated? Use test of hypothesis at 0.05 level of significance. b. Create a 959% CI for the average lifespan of Filipinos. Interpret