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5. A sample of 30 observations has a mean of 100 and a population standard deviation of 7. A second sample of 49 has a mean of 95 and a population standard deviation of 8. Conduct a z-test about a difference in sample means using a 0.02 significance level and the following hypotheses: Ha (1 - 12 = 0 HI: HI - H2 0 a) What is the correct decision rule? Reject Ho in favour of H, if the computed value of the statistic is less than 2.33. Reject He in favour of Hi if the computed value of the statistic is greater than 2.33. Reject Ho in favour of Hi if the computed value of the statistic is less than -2.05 or greater than 2.05. Reject Ho in favour of # if the computed value of the statistic is between -2.05 and 2.05. Reject Ho in favour of Hi if the computed value of the statistic is less than -2.33 or greater than 2 33. Reject Ho in favour of Hi if the computed value of the statistic is between -2 33 and 2.33. None of the above. b) Compute the value of the test statistic. For full marks your answer should be accurate to at least two decimal places. c) What is your decision regarding Ho? There is sufficient evidence, at the given significance level, to reject Ho, and accept Ai or at least there is not enough evidence to reject fi. There is insufficient evidence, at the given significance level, to reject Ho. There is insufficient evidence to reject or not reject the null hypothesis. d) Calculate the p-value. For full marks your answer should be accurate to at least four decimal places