# Answer to Question #12649 in Other Engineering for Maria

Question #12649

Hampson and Walker also made measurements of the heats of sublimation of

rhodium and iridium. Do the following calculations for each of the two given sets of

data:

a Make a histogram.

b Make a stem-and-leaf plot.

с Make a boxplot.

d Plot the observations in the order of the experiment.

e Does that statistical model of independent and identically distributed

measurement errors seem reasonable?

f Find the mean, 10% and 20% trimmed means, and median and compare them.

g Find the standard error of the sample mean and a corresponding approximate

90% confidence interval.

h Find a confidence interval based on the median that has as close to 90% coverage

as possible.

i Use the bootstrap to approximate the sampling distributions of the 10% and 20%

trimmed means and their standard errors and compare.

j Use the bootstrap to approximate the sampling distribution of the median and its

standard error. Compare to the corresponding results for trimmed means above.

к Find approximate 90% confidence intervals based on the trimmed means and

compare to the intervals for the mean and median found previously.

Iridium

136.6 145.2 151.5 162.7 159.1 159.8 160.8 173.9 160.1

160.4 161.1 160.6 160.2 159.5 160.3 159.2 159.3 159.6

160.0 160.2 160.1 160.0 159.7 159.5 159.5 159.6 159.5

Rhodium

126,4

133.3

131.3

134.2

132.6

135.7

132.5

131.2

133.8

133.3

132.9

133.0

132.1

133.3

133.5

131.5

133.0

131.1

133.5

133.5

131.1

132.4

131.4

133.4

132.3

131.1

131.6

131.2

133.5

132.7

131.9

132.6

131.1

133.0

132.9

132.7

132.2

131.1

132.8

134.1

rhodium and iridium. Do the following calculations for each of the two given sets of

data:

a Make a histogram.

b Make a stem-and-leaf plot.

с Make a boxplot.

d Plot the observations in the order of the experiment.

e Does that statistical model of independent and identically distributed

measurement errors seem reasonable?

f Find the mean, 10% and 20% trimmed means, and median and compare them.

g Find the standard error of the sample mean and a corresponding approximate

90% confidence interval.

h Find a confidence interval based on the median that has as close to 90% coverage

as possible.

i Use the bootstrap to approximate the sampling distributions of the 10% and 20%

trimmed means and their standard errors and compare.

j Use the bootstrap to approximate the sampling distribution of the median and its

standard error. Compare to the corresponding results for trimmed means above.

к Find approximate 90% confidence intervals based on the trimmed means and

compare to the intervals for the mean and median found previously.

Iridium

136.6 145.2 151.5 162.7 159.1 159.8 160.8 173.9 160.1

160.4 161.1 160.6 160.2 159.5 160.3 159.2 159.3 159.6

160.0 160.2 160.1 160.0 159.7 159.5 159.5 159.6 159.5

Rhodium

126,4

133.3

131.3

134.2

132.6

135.7

132.5

131.2

133.8

133.3

132.9

133.0

132.1

133.3

133.5

131.5

133.0

131.1

133.5

133.5

131.1

132.4

131.4

133.4

132.3

131.1

131.6

131.2

133.5

132.7

131.9

132.6

131.1

133.0

132.9

132.7

132.2

131.1

132.8

134.1

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