HELP ME PLEASE. WRITE IT ON A CLEAR PAPER WITH SOLUTION OF THIS STEPS, THANK YOU IN ADVANCE!!

1) If a hypothesis is conducted using a = .05, for which of the following p-values would the null hypothesis be rejected? a) 0.3 b) 0.06 C) 0.243 d) 0.1 e) 0.001 2) For each pair of a and p-value, indicate whether the null hypothesis would be rejected. a) a = .05, p-value = .10 d) a = .01, p-value = .10 b) a = .05, p-value = .05 e) a = .10, p-value = .01 c) a =.01, p-value = .001 3) In a test of Ho: J = 80 against H,: J 100 based on the 35 random observations. The sample mean is 105 and the sample standard deviation is 15. Use a = 0.01. 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, H # 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 Ho : / = 100 against the alternative hypothesis H, : M > 100 based on 15 random observations. The sample mean is 110 and the sample standard deviation is 8. Use a = 0.05.Steps Conducting Hypothesis Testing using Traditional Method t. Formulate the hypotheses. (Null an Alternative) 2. Is Centre! Limit Theorem applicable? in Z 30) 3. identity the following: . Significance level for a * Twotailed or one-tailed test . _ . Critical valuefs '_.3 4. Compute the test statistic. 5. Compare the test statistic and the critical value. Decision rule: Flelect H0 if the computed test statistic 5 negative critical value or if the computed test statistic 2 positive critical value. I Otherwise. do not reject (or accept) H\". 5. interpret the l'ESUII