An iq test is designed so that the mean is 100 and the standard deviation is 12 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 90% confidence that the sample mean is within 33 iq points of the true mean. assume that σ=12 and determine the required sample size using technology. then determine if this is a reasonable sample size for a real world calculation.

Sample size = 1

Not a reasonable sample size

Step-by-step explanation:

Mean of the test scores = u = 100

Standard deviation of the test scores = σ = 12

Confidence Level = 90%

The z-score for 90% confidence level = z = 1.645

Mean IQ should be 33 points within the sample mean. So,

Error size = E = 33

Sample size = n ?

Since the distribution is normal, we can use the formula of margin of error for z-distribution to calculate the missing sample size.

Using the given values, we get:

Rounding to the next bigger integer the sample size comes out to be 1. This is not a reasonable estimate for a real world calculation as we cannot draw a conclusion for a complete population based on the sample size of 1 person

72 is the answer to this problem