The company in Example 5 claims that the mean conductivity of the river is 1890 milligrams per liter. The conductivity of a water sample is a measure of the total dissolved solids in the sample. You randomly select 39 water samples and measure the conductivity of each. The sample mean and standard deviation are 2350 milligrams per liter and 900 milligrams per liter, respectively. Is there enough evidence to reject the company’s claim at α = 0.01?

a. Identify the claim and state H₀ and H_a.

b. Identify the level of significance α and the degrees of freedom.

c. Find the critical values -t₀ and t₀ and identify the rejection regions.

d. Find the standardized test statistic t. Sketch a graph.

e. Decide whether to reject the null hypothesis.

f. Interpret the decision in the context of the original claim.