PLEASE EXPLAIN. THANK YOU!

DataActivity

1. A random sample of36 skeletal remains from females was taken from data stored in theForensic Anthropology Data Bank (FDB) at the University ofTennessee. The femur lengths (right leg) in millimeters arerecorded below.

432	432	435	460	432	440	448	449	434	443
525	451	448	443	450	467	436	423	475	435
433	438	453	438	435	413	439	442	507	424
468	419	434	483	448	514

1. Determine the sample mean and standard deviation

b. Since the sample size is large, wecan use the sample standard s in place of σ incalculations of confidence intervals.

   c. Before doing any calculations, think abouta 90%, 95% and 99% confidence for µ, the mean femur bonelength for women. Which of these intervals would be the widest?Which would be the narrowest? Explain how you know withoutcalculating the confidence intervals.

d. Calculate 90%,95%, and 99% confidence intervals for µ, the mean femurbone length for adult females. Do your results confirm your answerto (c)?

e Redo the 95% confidence interval using the 68-95-99.7 Rule.Comment on the difference between this and the answer you got inpart d.

f. How much can a single outlier affecta confidence interval? Suppose that the first observation of 432millimeters had been mistakenly entered as 4.32 millimeters.

(i) Make a boxplot of the modifieddata set to show that this short femur length is an outlier.

(ii) Recalculate the95% confidence interval based on the modified data. How much didthe outlier affect the confidence interval?