1. A researcher found that the IQ scores of the ALS students in the City of New Delhi are normally distributed with a mean of 110 and a standard deviation of
10.
a. How many ALS students are needed to test so that the estimate will not be more
than 5 from the population mean with a 99% level of confidence?
b. Due to limited contact with ALS students, the researcher tested a small number
of ALS students. Explain the effect of this small sample on the estimate of the
parameter?
2. A confidence interval estimate has a maximum error of 2.50. If the distribution of
the data where the estimate is obtained is normal with a standard deviation of 9,
a. How many samples are considered in 98% confidence interval estimate for the
mean?
b. What must be done to the sample size to reduce the margin of error of the
confident interval estimate? Support your answer.
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