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1. On an IQ test which is distributed as N(100, 225), the average IQ score for a certain second grade in a private school in Victoria, Texas, is y = 106. If a = 0.05, how often might a deviation this large or larger occur by chance in a random sample of 25?

2. A certain intelligence test has an N(100, 100) distribution. To see whether intelligence is inherited, tests are given to the eldest child of each of a random sample of 16 acclaimed scholars. The average score of the children is 105.

a. Give the null hypothesis to be tested.

b. Give the alternative hypothesis.

c. Perform the test.

d. How likely is it that data like these represent a sample from a population in which the null hypothesis is true?

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