Confidence level is 90%, is not known, and the dotplot of IQ scores of 20 randomly

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Confidence level is 90%, σ is not known, and the dotplot of IQ scores of 20 randomly selected statistics instructors is as shown below.

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Assume that we want to construct a confidence interval. Do one of the following, as appropriate:

(a) Find the critical value tα/2,

(b) find the critical value zα/2,

(c) state that neither the normal distribution nor the t distribution applies.

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