2. Researchers wanted to investigate if carpeted rooms (1) contained more bacteria than uncarpeted rooms (2). Colonies o

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2 Researchers Wanted To Investigate If Carpeted Rooms 1 Contained More Bacteria Than Uncarpeted Rooms 2 Colonies O 1 (97.03 KiB) Viewed 129 times

2 Researchers Wanted To Investigate If Carpeted Rooms 1 Contained More Bacteria Than Uncarpeted Rooms 2 Colonies O 2 (175.56 KiB) Viewed 129 times

2 Researchers Wanted To Investigate If Carpeted Rooms 1 Contained More Bacteria Than Uncarpeted Rooms 2 Colonies O 3 (129.02 KiB) Viewed 129 times

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2. Researchers wanted to investigate if carpeted rooms (1) contained more bacteria than uncarpeted rooms (2). Colonies of bacteria per cubic foot formed in Petri dish from eight carpeted rooms and eight uncarpeted has been recorded. Based on the results from SPSS output in Table 2, answer the following questions:
Table 2: Independent Samples Test colonies Equal Equal variances variances not assumed assumed F 393 Levene's Test for Equality of Variances t-test for Equality of Means Sig 541 + 914 914 df Sig. (2-tailed) Mean Difference Std. Error Difference 95% Confidence Lower Interval of the Upper Difference 14 376 1.37500 1.50520 -1.85333 13.299 377 1.37500 1.50520 -1.86936 4.60333 4.61936
a) What is the assumption of the variances? (a = 0.05). (2 marks) b) State the 95% confidence interval of the difference in mean colonies of bacteria between carpeted and uncarpeted rooms. W (1 mark) c) Based on your confidence interval in ii), do the data provide enough evidence to indicate that carpeted rooms contained more bacteria than uncarpeted. State your reason. (2 marks)