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The principal of a charter school in Tampa believes that the IQs of its students are above the national average of 100. From the past experience, IQ is normally distributed with a standard deviation of 10. A random sample of 20 students is selected from this school and their IQs are observed. The following are the observed values.

95    91     110     93    133    119    113   107   110 89

113    100    100   124       116  113    110    106    115  113

(a) Test for the normality of the data

(b) Do the IQs of students at the school run above the national average at α = 0.01?

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