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In the population, IQ scores are normally distributed with a mean of 100. A charter school...

In the population, IQ scores are normally distributed with a mean of 100. A charter school wants to know if their students have an IQ that is higher than the population mean. They take a random sample of 15 students and find that they have a mean IQ of 109 with a sample standard deviation of 20. Test at 1% significance level whether the average IQ score in this school is higher than the population mean.

a) Write down null and alternative hypotheses.

b) Whether you use z- or t-test. The value of the test.

c) Find p-value or critical value.

d) Make the decision.

Math   Statistics-And-Probability   
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