question archive 1) The Variance is NEVER negative a
1) The Variance is NEVER negative a
Subject:MathPrice: Bought3
1) The Variance is NEVER negative
a. True
b. False
2. A low p-value is anything less that 0.10 and the lower the better
a. True
b. False
3. Simple Linear Regression is called "simple" because there's another regression type called Multiple Linear Regression.
a. True
b. False
4. Suppose that you read in the Wall Street Journal that the variance of family income in City A is equal to 3500 and you want to check it out. So, you go to that city and take a random sample of 81 Families and determine that the sample mean is $50,000 and the sample variance 4521 which is obviously bigger than 3500 as any mathematician will tell you. But, in the world of statistics you know to ask whether or not it is significantly bigger. Review the information and answer the following question:
At the 0.05 level of significance, what is the "critical Value"?
a. 101.879
b. 3500
c. 4521
d. We don't know because it wasn't given
e. None of the above
5. The variance is simply the standard deviation squared
a. True
b. False
6. Suppose that you read in the Wall Street Journal that the variance of family income in City A is equal to 3500 and you want to check it out. So, you go to that city and take a random sample of 81 Families and determine that the sample mean is $50,000 and the sample variance 4521 which is obviously bigger than 3500 as any mathematician will tell you. But, in the world of statistics you know to ask whether or not it is significantly bigger. Review the information and answer the following question:
What is the resulting degree of freedom for this problem?
a. 80
b. 81
c. 82
d. We don't know because it wasn't given
e. None of the above
7. Suppose we are interested in determining if the variance of family income in Atlanta is greater than the variance of family income in Nashville. We take a random sample of 31 families in Atlanta and determine that the sample standard deviation is 2000 and then take a random sample of 26 families in Nashville and determine that the sample standard deviation is 3000.
What conclusion can be drawn from this hypothesis test?
a. At NO reasonable level of significance can we claim that the variance of family income in Nashville is greater than the variance of family income in Atlanta
b. At the 0.05 Level ( but not the 0.01 level) of significance can we claim that the variance of family income in Nashville is greater than the variance of family income in Atlanta
c. At the 0.025 level ( but not the 0.01 level ) of significance can we claim that the variance of family income in Nashville is greater than the variance of family income in Atlanta
d. At the 0.01 level ( but not the 0.001 level ) of significance can we claim that the variance of family income in Nashville is greater than the variance of family income in Atlanta
e. At the 0.001 level of significance can we claim that the variance of family income in Nashville is greater than the variance of family income in Atlanta
8. Simple Linear Regression can be used in which of the following disciplines?
a. Biology
b. Political Science
c. Marketing
d. Management
e. Finance
f. All of the above
9. A low p-value is anything less that 0.25 and the lower the better
a. True
b. False
10. It is possible to have a hypothesis test on three or more proportions to see if there is significant difference among them.
a. True
b. False
11. Simple Linear Regression is called "simple" because its easy
a. True
b. False
12. If you had the regression equation y= 9-2x and knew that x=4 what would the resulting y value be?
a. 1
b. 2
c. 3
d. 4
13. Suppose we are interested in determining if the variance of family income in Atlanta is greater than the variance of family income in Nashville. We take a random sample of 31 families in Atlanta and determine that the sample standard deviation is 2000 and then take a random sample of 26 families in Nashville and determine that the sample standard deviation is 3000.
What is the value for the variance in Nashville?
a. 3000
b. 9000
c. 9000000
d. 81000000
e. None of the above
14. If you had the regression equation y= 3+2x and knew that x=12 what would the resulting y value be?
a. 27
b. 23
c. 17
d. 42
15. When making inferences about one population variance (i.e. comparing one sample variance against some other assumed to be correct population variance) which of the following will you the degrees of freedom to be used?
a. For this type of problem (n-1)
b. For this type of problem (n-2)
c. For both the numerator and the denominator its (n-1)
d. For the numerator (n-1) and the denominator (n-2)
e. None of the above
16. Consider a town that wants to promote an image of reliability with regard to the arrival times of their busses. They know that some variability is realistic and specifies an arrival time variance of 4 or less when arrival times are measured in minutes. The city manager takes a sample of 24 bus arrival times, compares them against the scheduled arrival times and computes a sample variance of s2 - 4.9 at a specific downtown intersection. Assume that the population arrival times are normally distributed and test the hypothesis at a 0.05 level of significance. Given this information ... what is the result of the hypothesis test?
a. There is not enough evidence at the 0.05 level to conclude that the sample variance of 4.9 is significantly larger than the hypothesized value of 4.
b. There is enough evidence at the 0.05 level to conclude that the sample variance of 4.9 is significantly larger than the hypothesized value of 4.
c. There is enough evidence at not only the 0.05 level to conclude that the sample variance of 4.9 is significantly larger than the hypothesized value of 4, but also at the 0.025 level.
d. There is enough evidence at not only the 0.05 level to conclude that the sample variance of 4.9 is significantly larger than the hypothesized value of 4, but also at the 0.01 level
17. Consider a town that wants to promote an image of reliability with regard to the arrival times of their busses. They know that some variability is realistic and specifies an arrival time variance of 4 or less when arrival times are measured in minutes. The city manager takes a sample of 24 bus arrival times, compares them against the scheduled arrival times and computes a sample variance of s2 - 4.9 at a specific downtown intersection. Assume that the population arrival times are normally distributed and test the hypothesis at a 0.05 level of significance.
What is the value for the computed test statistic?
a. 0.005
b. 4.9
c. 23
d. 28.18
e. None of the above is close
18. Suppose you have heard that the starting monthly salary of college graduates is correlated with their final Grade Point Average (GPA). Suppose further that you interviewed six recent graduates and arrived at the data shown in the following table:
GPA-Staring monthly salary
2.6-$3,600
3.4-$3,900
3.6-$4,300
3.2-$3,800
3.5- $4,200
2.9-$3,900
What would be the starting monthly salary for a student with a GPA of 2.0?
a. $3857
b. $4415
c. $3747
d. $3253
e. $3688
19. Suppose you have heard that the starting monthly salary of college graduates is correlated with their final Grade Point Average (GPA). Suppose further that you interviewed six recent graduates and arrived at the data shown in the following table:
GPA-Staring monthly salary
2.6-$3,600
3.4-$3,900
3.6-$4,300
3.2-$3,800
3.5- $4,200
2.9-$3,900
What is the resulting value for r in the regression equation
a. 0.7458562683
b. 0.8636349161
c. 145.8896288
d. 581.0810811
e. 2090.540541
20. Suppose you have heard that the starting monthly salary of college graduates is correlated with their final Grade Point Average (GPA). Suppose further that you interviewed six recent graduates and arrived at the data shown in the following table:
GPA-Staring monthly salary
2.6-$3,600
3.4-$3,900
3.6-$4,300
3.2-$3,800
3.5- $4,200
2.9-$3,900
What is the resulting value for b in the regression equation
a. 0.7458562683
b. 0.8636349161
c. 145.8896288
d. 581.0810811
e. 2090.540541
21. Suppose you have heard that the starting monthly salary of college graduates is correlated with their final Grade Point Average (GPA). Suppose further that you interviewed six recent graduates and arrived at the data shown in the following table:
GPA-Staring monthly salary
2.6-$3,600
3.4-$3,900
3.6-$4,300
3.2-$3,800
3.5- $4,200
2.9-$3,900
What would be the starting monthly salary for a student with a GPA of 4.0?
f. $3857
g. $4415
h. $3747
i. $3253
j. $3688
22. Suppose you have heard that the starting monthly salary of college graduates is correlated with their final Grade Point Average (GPA). Suppose further that you interviewed six recent graduates and arrived at the data shown in the following table:
GPA-Staring monthly salary
2.6-$3,600
3.4-$3,900
3.6-$4,300
3.2-$3,800
3.5- $4,200
2.9-$3,900
What is the resulting value for s in the regression equation
a. 0.7458562683
b. 0.8636349161
c. 145.8896288
d. 581.0810811
e. 2090.540541
23. Suppose you are trying to determine if Brand Loyalty exists among car owners and you interview a bunch of owners and come up with the info in the following table:
Chevy Ford Honda Total
Yes 69 120 123 312
No 56 80 52 188
125 200 175 500
What proportion of Chevy owners sowed "brand Loyalty"?
a. 69/125=0.552
b. 69/312=0.211
c. 69/500=0.138
d. 69/56=1.232
24. Suppose you are trying to determine if Brand Loyalty exists among car owners and you interview a bunch of owners and come up with the info in the following table:
Chevy Ford Honda Total
Yes 69 120 123 312
No 56 80 52 188
125 200 175 500
How many people, in total, were interviewed in this experiment?
a. 125
b. 175
c. 188
d. 200
e. 312
f. None of the above is correct
25. Suppose you are trying to determine if Brand Loyalty exists among car owners and you interview a bunch of owners and come up with the info in the following table:
Chevy Ford Honda Total
Yes 69 120 123 312
No 56 80 52 188
125 200 175 500
What conclusion can be drawn at the 0.02 level of significance?
a. There is NOT enough evidence to conclude that brand loyalty exists.
b. There IS enough evidence to conclude that brand loyalty exists
