A manufacturing company produces steel housings for electrical equipment. The man component part of the housing is a steel through that is made out of a 14-gauge steel Coil. One side of the form to the other is critical because of weatherproofing in outdoor applications. The company requires that the width of the trough be between 8.31 inches and 8.61 inches. The file Trough contains the widths of the troughs, in inches for a sample of n = 49 : a. At the 0.05 level of significance, is there evidence that the mean width of the troughs is different from 8.46 inches? b. What assumption about the population distribution is needed in order to conduct the t test in (a)? c. Evaluate the assumption made in (b). d. Do you think that the assumption needed in order to conduct the t in (a) is valid? Explain.
A manufacturing company produces steel housings for electrical equipment. The man component part of the housing is a steel through that is made out of a 14-gauge steel Coil. One side of the form to the other is critical because of weatherproofing in outdoor applications. The company requires that the width of the trough be between 8.31 inches and 8.61 inches. The file Trough contains the widths of the troughs, in inches for a sample of n = 49 : a. At the 0.05 level of significance, is there evidence that the mean width of the troughs is different from 8.46 inches? b. What assumption about the population distribution is needed in order to conduct the t test in (a)? c. Evaluate the assumption made in (b). d. Do you think that the assumption needed in order to conduct the t in (a) is valid? Explain.
Solution Summary: The author demonstrates the five-step p-value approach to determine whether the mean width of the troughs is different from 8.46 inches.
A manufacturing company produces steel housings for electrical equipment. The man component part of the housing is a steel through that is made out of a 14-gauge steel Coil.
One side of the form to the other is critical because of weatherproofing in outdoor applications. The company requires that the width of the trough be between 8.31 inches and 8.61 inches. The file Trough contains the widths of the troughs, in inches for a sample of
n
=
49
:
a. At the 0.05 level of significance, is there evidence that the mean width of the troughs is different from 8.46 inches?
b. What assumption about the population distribution is needed in order to conduct the t test in (a)?
c. Evaluate the assumption made in (b).
d. Do you think that the assumption needed in order to conduct the t in (a) is valid? Explain.
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