Use the blowing information to answer the next seen exeircises: Suppose that a recent article stated that the mean time spent In Jail by a first-time convicted burglar Is 2.5 years. A study was then done to see If the mean time has increased In the new century. A random samp’e of 26 first-time convicted burglars In a recent year was picked. The mean length of time In Jail from the survey was three years with a standard deviation of 1.8 years. Suppose that It Is somehow known that the population standard deviation is 1.5. Conduct a hypothesis test to deteimine If the mean length of jail time has increased. Assume the distribution of the Jail times Is approximately normal. Is this a test of means or proportions?
Use the blowing information to answer the next seen exeircises: Suppose that a recent article stated that the mean time spent In Jail by a first-time convicted burglar Is 2.5 years. A study was then done to see If the mean time has increased In the new century. A random samp’e of 26 first-time convicted burglars In a recent year was picked. The mean length of time In Jail from the survey was three years with a standard deviation of 1.8 years. Suppose that It Is somehow known that the population standard deviation is 1.5. Conduct a hypothesis test to deteimine If the mean length of jail time has increased. Assume the distribution of the Jail times Is approximately normal. Is this a test of means or proportions?
Use the blowing information to answer the next seen exeircises: Suppose that a recent article stated that the mean time spent In Jail by a first-time convicted burglar Is 2.5 years. A study was then done to see If the mean time has increased In the new century. A random samp’e of 26 first-time convicted burglars In a recent year was picked. The mean length of time In Jail from the survey was three years with a standard deviation of 1.8 years. Suppose that It Is somehow known that the population standard deviation is 1.5. Conduct a hypothesis test to deteimine If the mean length of jail time has increased. Assume the distribution of the Jail times Is approximately normal.
Is this a test of means or proportions?
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.
A 24-1 design has been used to investigate the effect of four factors on the resistivity of a silicon wafer. The data
from this experiment are shown in Table 4.
Table 4: Resistivity Experiment for Exercise 5
Run
A
B
с
D
Resistivity
1
23
2
3
4
5
6
7
8
9
10
11
12
I+I+I+I+Oooo
0
0
||++TI++o000
33.2
4.6
31.2
9.6
40.6
162.4
39.4
158.6
63.4
62.6
58.7
0
0
60.9
3
(a) Estimate the factor effects. Plot the effect estimates on a normal probability scale.
(b) Identify a tentative model for this process. Fit the model and test for curvature.
(c) Plot the residuals from the model in part (b) versus the predicted resistivity. Is there any indication on
this plot of model inadequacy?
(d) Construct a normal probability plot of the residuals. Is there any reason to doubt the validity of the
normality assumption?
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