Suppose it is known that the IQ scores of a certain population of adults are approximately normally distributed with a standard deviation (σ) of 15. A simple random sample of 25 adults drawn from this population had a mean IQ (x ̅) score of 105. On the basis of these data can we conclude that the mean IQ score for the population is not 100? Let the probability of committing a type I error be 0.05. The values in the following tables are critical values for two sided hypothesis testing.

Level of significance (α) Critical Value

0.10 1.645

0.05 1.960

0.025 2.326

0.01 2.575

question 1. Formulate the null and alternative hypotheses

question 2 What test statistics is appropriate for this

hypothesis testing?

question 3 Compute your test statistic

question 4. What is your conclusion based on the test you

performed in step iii above?

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