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b) A lake was believed to be polluted to a level of 6.95 units. A student on a field trip decided to find out if

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b) A lake was believed to be polluted to a level of 6.95 units. A student on a field trip decided to find out if the statement was true. She took 18 samples from various parts of the lake with the following results. 6.97 6.70 6.84 6.83 6.95 6.84 6.89 6.92 6.91 6.60 6.94 6.89 7.05 6.90 6.94 6.99 6.95 6.84 She fed the data into Minitab and obtained the following output. Descriptive Statistics: pollution Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 pollution 180 6.8861 0.0247 0.1048 6.6000 6.8400 6.9050 6.9500 Variable Maximum pollution 7.0500 Probability Plot of pollution Normal - 95% CI 99 95 Mean StDev N AD P-Value 6.886 0.1048 18 0.766 0.038 90 . Percent 80 70 60 8 50 40 30 20 ..... 10 5 1 6.5 6.6 6.7 6.8 7.0 7.1 7.2 7.3 6.9 pollution Use the above information to determine a conclusion about the belief stated about the pollution in the lake. Your answer should be full and detailed stating any hypotheses tested and conclusions drawn. [7 marks]

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