Please answer the following. Thank you.
Solve the following problems:
1. Given each of the following sets of values, test the indicated hypothesis:
n = 62, x = 98, α = 0.05, Ho: μ = 100, Ha: μ ≠100
n = 10, x = 75, s = 10.4, α = 0.01, Ho: μ = 70, Ha: μ > 70
2. The personnel director of a certain company is interested in determining the relative effectiveness of a certain seminar. When the participants were given a test after the seminar, a mean of 85 was obtained. In the past, the true mean was 65 with a standard deviation of 8. If a random sample of 48 participants was selected, was the seminar effective at the 0.05 level of significance?
3. The average lifespan of a Filipino adult is 79.11 years with a standard deviation of 8.59 years. A random sample of recorded deaths was investigated and showed that the average lifespan is 83.21. Test the difference of x with the population mean at the 0.01 level of significance.
4. The principal claimed that the students' mean IQ in the school was 78. A random sample of 20 students was tested and showed a mean score of 85, with a standard deviation of 8. Is this group significantly higher in IQ at the 0.01 level of significance?