Statistics

Answer with Solutions

1) If a hypothesis is conducted using a = .05. for which of the following p-values would the null hypothesis be rejected? 0) 0.3 b) 0.06 C) 0.243 dj'0.1 0} 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,: 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, # # 6.5. Use a = 0.01. b. Test the null hypothesis that the mean of the population against the alternative hypothesis, # > 6.5. Use a = 0.01. 3. Conduct a t-test for the null hypothesis Ho : # = 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