an iq test is designed so that the mean is 100 and the standard deviation is 25
ID: 3131945 • Letter: A
Question
an iq test is designed so that the mean is 100 and the standard deviation is 25 for the population of normal adults. Find the sample size necessary to estimate the mean iq score of statistics students such that it can be said with 99% confidence e that the sample mean is within 7 iq points of the true mean. assume that deviation = 25 and determine the required sample size using technology. Then determine if this is a reasonable sample sze for a real world calculation
the required sample size is:
Explanation / Answer
Using technology (Minitab) the sample size is 52.
Steps: Go to Stat> Sample and power size>Sample size for estimation>Enter 25 in standard deviation text box and 7 in Margin of error for confidence interval text box. Click OK.
This is not a suitable sample size when variable like IQ is measured at interval-ratio level of measurement and IQs can be wide range of values. But it need to be known which statistics students' IQ are measured, based on it it can be ascertained whether the sample size is sufficient or not.
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