Question: help me solve this questions please Question One A new worker was recently assigned to a crew of workers who perform a certain job. From

help me solve this questions please

Question One A new worker was recently assigned to a crew of workers who perform a certain job. From the records of the number of units of work completed by each worker each day last month, a sample of size five was randomly selected from each of the two experienced workers and the new worker. New Worker Worker A Worker B Units of Work 15 18 17 16 19 20 14 17 16 18 19 19 16 18 20 (a) Formulate the null and the alternative hypotheses for this problem. (b) Perform ANOVA to test the hypotheses formulated above in (a). (c) At 5% level of significance, what can you conclude? (d) Find the 95% level of confidence interval for the difference between mean scores of the new worker and worker A. Question Two A behaviorist has performed the following experiment. For each of 10 sets of identical twins who were born 30 years ago, he recorded their annual incomes, according to which twin was born first. The results (in R10 000s) are shown below: Twin set 1 2 3 4 5 6 7 8 9 10 First born 32 36 21 30 49 27 39 38 56 44 Second born 44 43 28 39 51 25 32 42 64 44 Can he infer at 5% significance level that there is a difference in income between the twins? Clearly state the hypothesis implied by the question and how it can be tested. Give the rejection region and the conclusions
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