MATH 1351 Name ______________________ Chapter 11 Project – Hypothesis Testing A researcher wants to know whether the aci

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MATH 1351 Name ______________________ Chapter 11 Project – Hypothesis Testing
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:
Mean St. Dev
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 4.770 4.521 0.370 0.163
DO NOT USE STATCRUCH – must show all supporting work
Complete the 5 step hypotheses testing: 1. Hypotheses Ho
H1 2. Use ᾳ = 0.05
3. Calculate the test statistic and perform both the classical and p-value approach.
4. Make a decision: Reject Ho or Do Not Reject Ho.
5. Write out your conclusion
6. Construct a 95% confidence interval and show how the results are the same as your hypotheses testing.