An IQ test is designed so that the mean is 100 and the standard deviation is 22 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 3 IQ points of the true mean. Assume that o = 22 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is (Round up to the nearest integer.)

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**Question:**

Would it be reasonable to sample this number of students?

**Options:**

- ○ Yes. This number of IQ test scores is a fairly small number.
- ○ No. This number of IQ test scores is a fairly large number.
- ○ No. This number of IQ test scores is a fairly small number.
- ○ Yes. This number of IQ test scores is a fairly large number.
Transcribed Image Text:**Question:** Would it be reasonable to sample this number of students? **Options:** - ○ Yes. This number of IQ test scores is a fairly small number. - ○ No. This number of IQ test scores is a fairly large number. - ○ No. This number of IQ test scores is a fairly small number. - ○ Yes. This number of IQ test scores is a fairly large number.
**Sample Size Calculation for Estimating IQ Scores**

An IQ test is designed with a mean of 100 and a standard deviation of 22 for the population of normal adults. The task is to determine the sample size needed to estimate the mean IQ score of statistics students so that it can be stated with 90% confidence that the sample mean is within 3 IQ points of the true mean. 

Assuming the standard deviation (σ) is 22, you need to calculate the required sample size using appropriate technologies or statistical methods. After determining the sample size, assess whether this is a reasonable sample size for a practical real-world application.

The required sample size is [ ]. (Round up to the nearest integer.)
Transcribed Image Text:**Sample Size Calculation for Estimating IQ Scores** An IQ test is designed with a mean of 100 and a standard deviation of 22 for the population of normal adults. The task is to determine the sample size needed to estimate the mean IQ score of statistics students so that it can be stated with 90% confidence that the sample mean is within 3 IQ points of the true mean. Assuming the standard deviation (σ) is 22, you need to calculate the required sample size using appropriate technologies or statistical methods. After determining the sample size, assess whether this is a reasonable sample size for a practical real-world application. The required sample size is [ ]. (Round up to the nearest integer.)
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