Scores on an IQ Test Are Normally Distributed $s = 23$

question 161

Multiple Choice

Scores on an IQ test are normally distributed. A sample of 17 IQ scores had standard deviation $s = 23$ . The developer of the test claims that the population standard deviation is $\sigma = 17$ . Do these data provide sufficient evidence to contradict this claim? Use the $\alpha = 0.01$ level of significance.

• A) Reject \(H _ { 0 }\).
• The population standard deviation appears to differ from \(17 .\)
• B) Do not reject \(H _ { 0 }\).
• There is insufficient evidence to conclude that the population standard deviation differs from \(17 .\)

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Definitions:

Real Lower Limits

The actual start point of a class interval in statistics, indicating the smallest value that can be included in that interval.

Particular Level

A specific value or category of a variable within a research or statistical analysis.

Grouped Frequency Distribution

A representation of data that shows the number of observations within a given interval, helping in understanding the distribution of data points.

Equal Size

A condition often desired in statistical sampling or experimental design where all groups or samples have the same number of observations.