A researcher wants to know whether the acidity of rain (pH) near Houston Texas is significantly different from that near Chicago Illinois. He randomly selects 12 rain dates in Texas and 14 rain dates in Illinois and obtains the following data:

Texas

Illinois

4.69

4.40

5.10

4.69

5.22

4.22

4.46

4.64

4.93

4.54

4.65

4.35

5.22

4.69

4.76

4.40

4.25

4.75

5.14

4.63

4.11

4.45

4.71

4.49

4.36

4.52

DO NOT USE STATCRUCH except to calculate the means and standard deviations

Complete the 5 step hypotheses testing:

1.HypothesesH_o

H₁

2.Use = 0.05

3.Calculate the test statistic and perform both the classical and p-value approach.

4.Make a decision: Reject H_o or Do Not Reject H_o.

5.Write out your conclusion

Construct a 95% confidence interval and show how the results are the same as your hypotheses testing.