Reference no: EM132515233

Acid rain from the burning of fossil fuels has caused many of the lakes around the world to become acidic. The biology in these lakes often collapses because of the paid and unfavorable changes in water chemistry. A lake is classified as nonacidic if it has a pH greater than 6.

Marchetto, A. and Lami, A. measured the pH of high mountain lakes in the Southern Alps and reported their findings in the paper "Reconstruction of pH by Chrysophycean Scales in Some Lakes of the Southern Alps" (Hydrobiologia, Vol. 274, pp. 83-90). The table below shows the pH levels obtained by the researchers:

7.2
7.3
6.1
6.9
6.6
7.3
6.3
5.5
6.3
6.5
5.7
6.9
6.7
7.9
5.8

As the 0.05 level of significance, determine whether the data provided sufficient evidence to conclude that, on average, high mountain lakes in the Southern Alps are nonacidic (i.e. their pH is greater than 6 on average).

Define the parameter we are testing and setup a hypothesis test to see if, on average, high mountain lakes in the Southern Alps are nonacidic.

Calculate the test statistics for this hypothesis test.

What is the p-value for this hypothesis test? If you used your calculator to find this, state the options you used in your calculator.

Select the correct conclusion for this test:

a. We fail to reject the null hypothesis because the p-value is less than the level of significance.

b. We fail to reject the null hypothesis because the p-value is greater than the level of significance.

c. We reject the null hypothesis because the p-value is less than the level of significance.

d. We reject the null hypothesis because the p-value is greater than the level of significance.

Select the correct integration of your conclusion:

a. The evidence supports the alternative hypothesis; or

b. The evidence does not support the alternative hypothesis.