The average magnesium concentration in ground water around Metro City is u=65.6 parts per million(ppm) with a standard deviation of o=10. The table below shows the ground-water magnesium concentrations (ppm) from random sites in a suburb located 15 miles away. At a=0.10, can it be concluded that the average magnesium concentration in the suburb differs from 65.6 ppm?
38 28 38 95 118
83 102 76 87 125
120 95 107 28 53
7 16 89 115 29
24 50 26 98 65
81 21 122 92 40
116 25 123 63 102
a. State the hypotheses and identify the claim
b. Find the critical values
c. Compute the test statistic
d. Make a decision
e. Summarize the results