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.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
1. Let X and Y be random variables and suppose that A = F. Prove that
Z XI(A)+YI(A) is a random variable.
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