47. A study conducted to assess mercury levels for saltwater fish caught off the course of New Jersey found that a sample of 23 bluefin tuna had mean mercury level of 0.52 ppm, with standard deviation 0.16 ppm. Conduct a two tailed test of hypothesis to test the hypothesis that the mercury levels in New Jersey tuna are not significantly different from 0.50. (Mercury levels at 0.50 ppm or below are deemed safe for consumption). Use ?=0.05

(a)Step 1

Formulate the Null and alternate hypothesis: (use two-sided test)

(b)Step 2: ?=0.05

(c)Step 3 and Step 4:

Minitab> Stat >Basic Statistics >1-sample t> Summarized data>Sample size>23> Sample mean 0.52>Standard deviation>0.16> Select "Perform Hypothesis test> Click Options> Alternative Hypothesis: Mean ?hypothesized mean>OK>OK

\fOne-Sample t for the Mean X Summarized data Sample size: Sample mearc Standard deviation: 0.16 Perform hypothesis best Hypothesired moon: 0.50 Opticget.. HelpOne-Sample t: Options Confidence level: 95.0 Alternative hypothesis: Mean # hypothesized mean Help OK Cancel\fOne- Sample t for the Mean Summarized dots Sample Fine Standard deviation: Perform hypothesis Select Opticga. Grapha. Help CancelOne-Sample t: Options X Confidence level: 95.0 Alternative hypothesis: Mean