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QUESTION 1 Samples of ten production quantities for two assembly line workers (Line 1 and Line 2) during a randomly selected 1 hour period are shown below. Assuming that production quantities are approximately normally distributed and the SPSS output are given below. Group Statistics Line N Mean Std. Deviation Std. Error Mean Quantity Line 1 10 18.10 2.025 .640 Line 2 10 19.90 1.595 .504 Independent Samples Test Levene's Test for Equality of Variances I-test for Equality of Means 95% Confidence Interval of the Difference Mean Std. Error Big. (2-tailed) Difference Difference Lower Upper Quantity Equal variances assumed 233 635 -2.208 18 040 1.800 .815 -3.513 .087 Equal variances not assumed -2.208 17.065 041 -1.800 .815 -3.519 -,081 a) By using a suitable analysis, what can be concluded about the assumption for the variances of the production quantities for two assembly line workers? (4 marks) b) Using a p-value approach, can we conclude that the mean of production quantities for Line 2 workers are greater than Line 1 workers? (4 marks)