A random sample of 27 individuals from the population of young men aged 18 and of high IQ have foot lengths (in centimeters to the nearest centimeter) as summarized below: 6. Foot length (cm) 24 25 26 27 28 29 30 Number with this 1 2 6. 1 foot length a) Obtain the sample mean and show that a 95% confidence level estimate of the population standard deviation on this sample is 1.5 b) Test the estimate that the mean foot length of the population of 18 year old young men of this population is 28.2 cms, at 5%level of significance. c) Test the hypothesis that the median length is 26 using the Sign test at 2% level of significance d) Test the hypothesis that the median length is 26 using the Wilcoxon Signed ranks test at 2% level of significance.

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