In: Math
1. Suppose it is known that the IQ scores of a certain population of adults are approxi- mately normally distributed with a standard deviation of 15. A simple random sample of 25 adults drawn from this population had a mean IQ score of 105.
a) Would we be able to reject Ho if we were to test it at 1% significance level? Explain.
b)Construct and interpret the 95% confidence interval for population average IQ from these data.
c)Based on the 95% CI, is there evidence at 5% significance level that the average IQ in this population is not equal to 100? Explain.
a)
b)
Interpretation: We are 95% confident that the population mean will fall in above interval.
c) population mean = 100 falls in above 95% confidence interval hence we fail to reject H0.
Hence there is evidence at 5% significance level that the average IQ in this population is not equal to 100
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