Concept explainers
a.
Explain the logical assumption of the underlying distribution of the data.
b.
Obtain a 99% lower one-sided confidence interval on
c.
Obtain a 98% two-sided confidence interval on mean compressive strength and interpret the interval.
Explain the lower end-point of the interval is same as in part (a) or not.
d.
Obtain a 99% upper one-sided confidence interval on variance of compressive strength and interpret the interval.
e.
Obtain a 98% two-sided confidence interval on variance of compressive strength and interpret the interval.
Explain the reason that upper end-point of the interval is same as in part (a) or not.
f.
Obtain a 98% two-sided confidence interval on mean compressive strength for new values.
Obtain a 98% two-sided confidence interval on variance of compressive strength for new values.
Compare the original intervals computed with the newly computed intervals with corrected observation values.
Explain the effect of the mistaken values on the sample mean, sample variance and the width of two-sided confidence intervals.
g.
Obtain a 98% two-sided confidence interval on mean compressive strength for new values.
Obtain a 98% two-sided confidence interval on variance of compressive strength for new values.
Compare the original intervals computed with the newly computed intervals with corrected observation values.
Explain the effect of the mistaken values on the sample mean, sample variance and the width of two-sided confidence intervals.
h.
Explain the effect of the mistaken values, are near the sample mean and when they are not.
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Applied Statistics and Probability for Engineers
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