Deer mice (Peromyscus maniculatus) are small rodents native to North America. Their adult body lengths (excluding tail) are known to vary approximately Normally, with mean ?=86 millimeters (mm) and standard deviation ?=8 mm. Deer mice are found in diverse habitats and exhibit adaptations to their environment. A random sample of 14 deer mice in a rich forest habitat gives an average body length of ?¯=91.1 mm. Assume that the standard deviation ? of all deer mice in this area is also 8 mm. Here is the output from the TI‑83 graphing calculator for a 95% confidence interval based on these findings:   ?????????   (??.???, ??.???) (a) What is the standard deviation of the sampling distribution of mean body lengths ?¯ ? (Enter your answer rounded to four decimal places.) ??√=     (b) What critical value was used to compute this 95% confidence interval? (Enter your answer rounded to three decimal places.)

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