A big toe deformity. Table 7.2 (page 177) gives data on 38 consecutive patientswho came

Chapter 0, Problem 14.31

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A big toe deformity. Table 7.2 (page 177) gives data on 38 consecutive patientswho came to a medical center for treatment of hallux abducto valgus (HAV), adeformation of the big toe. It is reasonable to consider these patients as an SRS ofpeople suffering from HAV. The seriousness of the deformity is measured by theangle (in degrees) of deformity.(a) The data contain one high outlier. What is the angle for this outlier? Thepresence of the outlier violates the conditions for our confidence interval.Suppose that there is a good medical reason for removing the outlier.(b) The remaining 37 observations follow a Normal distribution closely. Assumethat angle has a Normal distribution with standard deviation = 6.3 degrees.Based on these 37 observations, give a 95% confidence interval for the meanangle of deformity in the population.

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