Question 1 (10 points) A named of 45 atervations has a mean of 105 and a population standard deviation of 6. A second sample of 63 has a mean of 102 and a population standard deviation of 7 Conduct a 2-tout about a in sample a significance the following Mo: 0 Hal- ) What is the correct decision rule? React Ho in favour of the computed value of the statistic is greater than 1.11 Reject Me in favour of the computed value of the statistic is between 1.80 and 1.80 Roject Me in favour of the computed value of the statistic is less than 188 Reject Mo in favour of Hy if the computed value of the static is loss than 10 or greater than 180 Reet Hy in favour of the computed value of the statistics fous than-2.17 or greater than 2.17 Reject Hy in favour of H if the computed value of the statistic in between-217 and 2.17. None of the above b) Compute the value of the test statistic For full marks your answer should be accurate to at least ho decimal places Test statistic: 0 c) What is your decision regarding Ho? There is sufficient evidence at the given significance level, to reject Hs and accept Hy or at least there is not enough evidence to reject Hy There is insufficient evidence at the given significance level, to reject Ho There is insufficient evidence to reject or not reject the nut hypothesis, d) Calculate the p-value For full marks your answer should be accurate to at least four decimal places P-value: 0