he U.S. Department of Health monitors fishing waters, to determine if the bacteria count has risen above a maximum safe level of 70. The following observations were obtained from 9 random samples of a stream: 69, 74, 75, 70, 72, 73, 71, 73, and 68.  Can you say that the bacteria are above the safe level (alpha=0.05)? Calculate the appropriate test statistic. What is the critical value for the test? Would you issue a warning about the bacteria levels in the stream? Why?

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The U.S. Department of Health monitors fishing waters, to determine if the bacteria count has risen above a maximum safe level of 70. The following observations were obtained from 9 random samples of a stream: 69, 74, 75, 70, 72, 73, 71, 73, and 68.  Can you say that the bacteria are above the safe level (alpha=0.05)?

  1. Calculate the appropriate test statistic.
  2. What is the critical value for the test?
  3. Would you issue a warning about the bacteria levels in the stream? Why?

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