Lesson: Hypothesis Testing using Traditional Method. Can anyone helppp me solve this one? Pls? Could u write the answers on a paper so that I will clearly get the proper solution. Thank you in advance!!.

2. A random sample of 10 measurements were obtained from a normally distributed population with mean / = 6.5. The sample values are X = 4.2 and s = 2. a. Test the null hypothesis that the mean of the population against the alternative hypothesis, u # 6.5. Use a = 0.01. b. Test the null hypothesis that the mean of the population against the alternative hypothesis, H > 6.5. Use a = 0.01. 3. Conduct a t-test for the null hypothesis H : # = 100 against the alternative hypothesis H : / > 100 based on 15 random observations. The sample mean is 110 and the sample standard deviation is 8. Use a = 0.05. 1. The average height of all entering freshmen students is 165 cm with the standard deviation a = 7 cm. To test the claim, a researcher selected a random sample of 50 freshmen of a certain college. In this sample, X = 163 cm and s = 8 cm. Is the claim true? 2. Conduct a traditional hypothesis test for the null hypothesis Ho: u = 100 against the alternative hypothesis H1: u > 100 based on the 35 random observations. The sample mean is 105 and the sample standard deviation is 15. Use a = 0.01