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Please help me answer this question. If possible, please use the GeoGebra probability calculator and show all the steps. Thank You!

 

An Industrial company claims that the water in a nearby river is safe. A safe pH is determined to be between 6.5 and 8.5. A scientist randomly selects 30 water samples from the river and averages their pH-level. The mean of the samples is 6.3, and the standard deviation is 0.37. Can we determine that the water is safe? Carry out the test at the LaTeX: alpha=:0.01α = 0.01 significance level to help you answer this question.

Step 1: State the claim and its opposite. Identify which is the null hypothesis and which is the alternative hypothesis.

Step 2: Determine which hypothesis test you will use and check conditions.

Step 3: If the conditions are met, perform the calculations, and conduct the test.  Include the test statistic and the P-value. 

Step 4: State the result and interpret your result in the context of the problem.