Chapter 2
Section 2-1 2-1. Sample average:
x=
i =1
xi n
n
=
i =1
xi 12
12
=
673.1 = 56.09 12
Sample standard deviation:
i =1
xi = 673.10
12
i =1 2
2 xi =39168
12
s=
n x i n i =1 2 xi i =1 n n 1
=
39168
( 673.10) 2
12
CHAPTER 7 Notes to the Instructor: The normal probability plots are constructed in Minitab using the command `Normality Test' under "Basic Statistics". The analysis of variance is carried out using "ANOVA" under `Stat' in Minitab. In cases where ther
CHAPTER 6 Note to Instructor: For computer exercises, the procedure `Regression' under `Stat' in Minitab can be used for the regression analysis except for computing confidence intervals on the regressor variables.
Sections 6-2 6-1. a) The regressio
CHAPTER 4 Section 4-2
4-1.
2n Xi 1 2n 1 E Xi = E X1 = E i =1 = ( 2 n ) = 2n 2 n i =1 2 n
( )
E X2
( )
n Xi 1 n 1 = E i =1 = E Xi = ( n ) = , n n i =1 n
X1 and X2 are unbiased estimators of .
The varia
Section 3-10 3-117. a) E(X) = 300(0.4) = 120, V(X) = 300(0.4)(0.6) = 72 and X = Then, P ( X 90) P Z
72 .
90 - 120 = P ( Z -3.54) = 0.0002 72 70 - 120 90 - 120 = P (-5.89 < Z -3.54) <Z b) P (70 < X 90) P 72 72
= 0.0002 0 = 0.00
Chapter 3 Section 3-2 3-1. Continuous 3-2. Discrete 3-3. Continuous 3-4. Discrete 3-5. Discrete 3-6. Continuous 3-7. Discrete Section 3-3 3-8. a) Engineers with at least 36 months of full-time employment. b) Samples of cement blocks with compressive
Chapter 8
Note to the Instructor: Some of the revised control charts provided in the solutions retain the removed points only as place holders. Other revised control charts have been created by removing the out-of-control point from the worksheet and
CHAPTER 7 Notes to the Instructor: The normal probability plots are constructed in Minitab using the command Normality Test under Basic Statistics. The analysis of variance is carried out using ANOVA under Stat in Minitab. In cases where there are ex
CHAPTER 6 Note to Instructor: For computer exercises, the procedure Regression under Stat in Minitab can be used for the regression analysis except for computing confidence intervals on the regressor variables.
Sections 6-2 6-1. a) The regression eq
CHAPTER 5 Section 5-2 5-1. a) 1) The parameter of interest is the difference in fill volume, 1 2 2) H0 : 1 2 = 0 or 1 = 2 3) H1 : 1 2 0 or 1 2 4) = 0.05 5) The test statistic is z0 = ( x1 x2 ) 0
2 1 2 +2 n1 n 2
6) Reject H0 if z0 < z/
CHAPTER 4 Section 4-2 2n Xi 1 2n 1 X1 = E i =1 = E Xi = ( 2 n ) = E 2n 2 n i =1 2 n
4-1.
()
E X2
()
n Xi 1 n 1 = E i =1 = E X i = ( n ) = , n n i =1 n
X1 and X2 are unbiased estimators of .
The varia
Section 3-10 3-117. a) E(X) = 300(0.4) = 120, V(X) = 300(0.4)(0.6) = 72 and X = Then, P ( X 90) P Z
72 .
90 120 = P ( Z 3.54) = 0.0002 72 70 120 90 120 = P(5.89 < Z 3.54) <Z b) P (70 < X 90) P 72 72
= 0.0002 0 = 0.0002 3-1
Chapter 3 Section 3-2 3-1. Continuous 3-2. Discrete 3-3. Continuous 3-4. Discrete 3-5. Discrete 3-6. Continuous 3-7. Discrete Section 3-3 3-8. a) Engineers with at least 36 months of full-time employment. b) Samples of cement blocks with compressive stren
Chapter 2
Section 2-1 2-1. Sample average:
12
x=
i =1
xi n
n
=
i =1
xi 12
12
=
673.1 = 56.09 12
Sample standard deviation:
i =1
xi = 673.10
i =1 2
2 xi =39168
12
s=
n x i n i =1 2 xi i =1 n n 1
=
39168
(673.10)2
12 = 1
Chapter 8
Note to the Instructor: Some of the revised control charts provided in the solutions retain the removed points only as place holders. Other revised control charts have been created by removing the out-of-control point from the worksheet and