Challenge Problem: The following are three sets of data for the atomic mass of antimony from the work of Willard and McAlpine': Set 1 Set 2 Set 3 121.771 121.784 121.752 121.787 121.758 121.784 121.803 121.765 121.765 121.781 121.794 (a) Determine the mean and the standard deviation for each data set.

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Challenge Problem: The following are three sets of
data for the atomic mass of antimony from the work
of Willard and McAlpine':
Set 1
Set 2
Set 3
121.771 121.784 121.752
121.787 121.758 121.784
121.803 121.765 121.765
121.781 121.794
(a) Determine the mean and the standard deviation
for each data set.
(b) Determine the 95% confidence interval for each
data set.
(c) Determine whether the 121.803 value in the first
data set is an outlier for that set at the 95% confi-
dence level.
(d) Use the t test to determine whether the mean of
data set 3 is identical to that of data set 1 at the
95% confidence level.
(e) The means of all three data sets are to be compared
by ANOVA. State the null hypothesis. Determine
whether the means differ at the 95% confidence level.
(f) Pool the data and determine the overall mean and
the pooled standard deviation.
(g) Compare the overall mean of the 11l data points to
the currently accepted value. Report the absolute
error and the relative error in percent assuming the
currently accepted value is the true value.
Transcribed Image Text:Challenge Problem: The following are three sets of data for the atomic mass of antimony from the work of Willard and McAlpine': Set 1 Set 2 Set 3 121.771 121.784 121.752 121.787 121.758 121.784 121.803 121.765 121.765 121.781 121.794 (a) Determine the mean and the standard deviation for each data set. (b) Determine the 95% confidence interval for each data set. (c) Determine whether the 121.803 value in the first data set is an outlier for that set at the 95% confi- dence level. (d) Use the t test to determine whether the mean of data set 3 is identical to that of data set 1 at the 95% confidence level. (e) The means of all three data sets are to be compared by ANOVA. State the null hypothesis. Determine whether the means differ at the 95% confidence level. (f) Pool the data and determine the overall mean and the pooled standard deviation. (g) Compare the overall mean of the 11l data points to the currently accepted value. Report the absolute error and the relative error in percent assuming the currently accepted value is the true value.
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