STT 200 Final Exam: Questions & Complete Answers
Information on a packet of seeds claims that the germination rate is 84%. The
packet contains 150 seeds. Let represent the proportion of seeds in the packet
that will germinate.
The sampling distribution model for is:
a. N(0.84, 0.0299)
b. N(0.16, 0.0299)
c. N(0.84, 0.0001)
d. N(0.0215, 0.92) Right Ans - A. N(0.84, 0.0299)
Information on a packet of seeds claims that the germination rate is 84%. The
packet contains 150 seeds. Let represent the proportion of seeds in the packet
that will germinate
What's the approximate probability that more than 90% of the 150 seeds in
the packet will germinate?
a. 0.9778
b. 0.0224
c. 0.0299
d. 0.90
e. 0.16 Right Ans - B. 0.0224
When a truckload of apples arrives at a packing plant, a random sample of 180
is selected and examined for bruises, discoloration, and other defects. The
whole truckload will be rejected if more than 4% of the sample is
unsatisfactory. Suppose that in fact 7% of the apples on the truck do not meet
the desired standard. What's the probability that the shipment will be
accepted anyway?
a. 0.0571
b. 0.981
c. -1.578
d. 0.943
e. 0.0409 Right Ans - A. 0.0571
It's believed that 5% of children have a gene that may be linked to juvenile
diabetes. Researchers hoping to track 30 of these children for several years
test 742 newborns for the presence of this gene.
The sampling distribution of the proportion of children with gene linked to
juvenile diabetes is best described as:
,a. N(0.04, 0.0072)
b. N(0.0072, 0.04)
c. N(0.008, 0.05)
d. N(0.05, 0.008) Right Ans - D. N(0.05, 0.008)
It's believed that 5% of children have a gene that may be linked to juvenile
diabetes. Researchers hoping to track 30 of these children for several years
test 742 newborns for the presence of this gene.
What is the probability that they find enough subjects for their study?
a. 0.0404
b. 0.0072
c. 0.960
d. 0.1170
e. 0.884 Right Ans - E. 0.884
Suppose that 65% of the adult residents in North Dakota favor the death
penalty. In a simple random sample of 100 North Dakota adult residents, let p-
hat denote the proportion that favor the death penalty.
What is the mean (expected) value of P-hat?
a. 50
b. 60
c. 65
d. 0.50
e. none of these Right Ans - E. none of these
Suppose that 65% of the adult residents in North Dakota favor the death
penalty. In a simple random sample of 100 North Dakota adult residents, let p-
hat denote the proportion that favor the death penalty.
What is the standard deviation of p-hat?
a. 0.15
b. 0.048
c. 5
d. 0.09
e. none of these Right Ans - b. 0.048
Suppose that 65% of the adult residents in North Dakota favor the death
penalty. In a simple random sample of 100 North Dakota adult residents, let p-
hat denote the proportion that favor the death penalty.
,What is the approximate probability that 57% or less of the sample residents
favor death penalty, that is, what is P(p-hat is less than or equal to 0.57)
a. 0.50
b. 0.40
c. 0.28
d. 0.16
e. 0.05 Right Ans - e. 0.05
Information on a packet of seeds claims that the germination rate is 92%. The
packet contains 160 seeds. Let p represent the proportion of seeds in the
packet that will germinate.
The sampling distribution model for p is:
a. N(0.92, 0.0215)
b. N(0.08, 0.0215)
c. N(147.2, 12.8)
d. N(0.0215, 0.92) Right Ans - a. N(0.92, 0.0215)
Information on a packet of seeds claims that the germination rate is 92%. The
packet contains 160 seeds. Let p represent the proportion of seeds in the
packet that will germinate.
What's the approximate probability that more than 95% of the 160 seeds in
the packet will germinate?
a. 0.92
b. 0.081
c. 0.0215
d. 0.95 Right Ans - B. 0.081
When a truckload of apples arrives at a packing plant, a random sample of 150
is selected and examined for bruises, discoloration, and other defects. The
whole truckload will be rejected if more than 5% of the sample is
unsatisfactory. Suppose that in fact 8% of the apples on the truck do not meet
the desired standard. What's the probability that the shipment will be
accepted anyway?
a. 0.0222
b. 0.9778
c. 0.088
d. 0.912 Right Ans - C. 0.088
, It's believed that 4% of children have a gene that may be linked to juvenile
diabetes. Researchers hoping to track 20 of these children for several years
test 732 newborns for the presence of this gene.
The sampling distribution of the proportion of children with gene linked to
juvenile diabetes is best described as:
a. N(0.04, 0.0072)
b. N(0.0072, 0.04)
c. N(0.027, 0.04)
d. N(0.027, 0.0072) Right Ans - A. N(0.04, 0.0072)
It's believed that 4% of children have a gene that may be linked to juvenile
diabetes. Researchers hoping to track 20 of these children for several years
test 732 newborns for the presence of this gene.
What is the probability that they find enough subjects for their study?
a. 0.0273
b. 0.0072
c. 0.960
d. 0.04 Right Ans - C. 0.960
Statistics from Cornell's Northeast Regional Climate Center indicate that
Ithaca, NY, gets an average of 35.4 inches of rain each year, with a standard
deviation of 4.2 inches.
During what percentage of years does Ithaca get more than 30 inches of rain?
a. approximately 10.03%
b. approximately 10.95%
c. approximately 90.07%
d. approximately 5.82
e. approximately 94.18% Right Ans - C. approximately 90.07%
Statistics from Cornell's Northeast Regional Climate Center indicate that
Ithaca, NY, gets an average of 35.4 inches of rain each year, with a standard
deviation of 4.2 inches.
Less than how much rain falls in the driest 25% of all years?
a. 13.7 inches
b. 10.03 inches
c. 10.4 inches
d. 32.6 inches Right Ans - D. 32.6 inches
Information on a packet of seeds claims that the germination rate is 84%. The
packet contains 150 seeds. Let represent the proportion of seeds in the packet
that will germinate.
The sampling distribution model for is:
a. N(0.84, 0.0299)
b. N(0.16, 0.0299)
c. N(0.84, 0.0001)
d. N(0.0215, 0.92) Right Ans - A. N(0.84, 0.0299)
Information on a packet of seeds claims that the germination rate is 84%. The
packet contains 150 seeds. Let represent the proportion of seeds in the packet
that will germinate
What's the approximate probability that more than 90% of the 150 seeds in
the packet will germinate?
a. 0.9778
b. 0.0224
c. 0.0299
d. 0.90
e. 0.16 Right Ans - B. 0.0224
When a truckload of apples arrives at a packing plant, a random sample of 180
is selected and examined for bruises, discoloration, and other defects. The
whole truckload will be rejected if more than 4% of the sample is
unsatisfactory. Suppose that in fact 7% of the apples on the truck do not meet
the desired standard. What's the probability that the shipment will be
accepted anyway?
a. 0.0571
b. 0.981
c. -1.578
d. 0.943
e. 0.0409 Right Ans - A. 0.0571
It's believed that 5% of children have a gene that may be linked to juvenile
diabetes. Researchers hoping to track 30 of these children for several years
test 742 newborns for the presence of this gene.
The sampling distribution of the proportion of children with gene linked to
juvenile diabetes is best described as:
,a. N(0.04, 0.0072)
b. N(0.0072, 0.04)
c. N(0.008, 0.05)
d. N(0.05, 0.008) Right Ans - D. N(0.05, 0.008)
It's believed that 5% of children have a gene that may be linked to juvenile
diabetes. Researchers hoping to track 30 of these children for several years
test 742 newborns for the presence of this gene.
What is the probability that they find enough subjects for their study?
a. 0.0404
b. 0.0072
c. 0.960
d. 0.1170
e. 0.884 Right Ans - E. 0.884
Suppose that 65% of the adult residents in North Dakota favor the death
penalty. In a simple random sample of 100 North Dakota adult residents, let p-
hat denote the proportion that favor the death penalty.
What is the mean (expected) value of P-hat?
a. 50
b. 60
c. 65
d. 0.50
e. none of these Right Ans - E. none of these
Suppose that 65% of the adult residents in North Dakota favor the death
penalty. In a simple random sample of 100 North Dakota adult residents, let p-
hat denote the proportion that favor the death penalty.
What is the standard deviation of p-hat?
a. 0.15
b. 0.048
c. 5
d. 0.09
e. none of these Right Ans - b. 0.048
Suppose that 65% of the adult residents in North Dakota favor the death
penalty. In a simple random sample of 100 North Dakota adult residents, let p-
hat denote the proportion that favor the death penalty.
,What is the approximate probability that 57% or less of the sample residents
favor death penalty, that is, what is P(p-hat is less than or equal to 0.57)
a. 0.50
b. 0.40
c. 0.28
d. 0.16
e. 0.05 Right Ans - e. 0.05
Information on a packet of seeds claims that the germination rate is 92%. The
packet contains 160 seeds. Let p represent the proportion of seeds in the
packet that will germinate.
The sampling distribution model for p is:
a. N(0.92, 0.0215)
b. N(0.08, 0.0215)
c. N(147.2, 12.8)
d. N(0.0215, 0.92) Right Ans - a. N(0.92, 0.0215)
Information on a packet of seeds claims that the germination rate is 92%. The
packet contains 160 seeds. Let p represent the proportion of seeds in the
packet that will germinate.
What's the approximate probability that more than 95% of the 160 seeds in
the packet will germinate?
a. 0.92
b. 0.081
c. 0.0215
d. 0.95 Right Ans - B. 0.081
When a truckload of apples arrives at a packing plant, a random sample of 150
is selected and examined for bruises, discoloration, and other defects. The
whole truckload will be rejected if more than 5% of the sample is
unsatisfactory. Suppose that in fact 8% of the apples on the truck do not meet
the desired standard. What's the probability that the shipment will be
accepted anyway?
a. 0.0222
b. 0.9778
c. 0.088
d. 0.912 Right Ans - C. 0.088
, It's believed that 4% of children have a gene that may be linked to juvenile
diabetes. Researchers hoping to track 20 of these children for several years
test 732 newborns for the presence of this gene.
The sampling distribution of the proportion of children with gene linked to
juvenile diabetes is best described as:
a. N(0.04, 0.0072)
b. N(0.0072, 0.04)
c. N(0.027, 0.04)
d. N(0.027, 0.0072) Right Ans - A. N(0.04, 0.0072)
It's believed that 4% of children have a gene that may be linked to juvenile
diabetes. Researchers hoping to track 20 of these children for several years
test 732 newborns for the presence of this gene.
What is the probability that they find enough subjects for their study?
a. 0.0273
b. 0.0072
c. 0.960
d. 0.04 Right Ans - C. 0.960
Statistics from Cornell's Northeast Regional Climate Center indicate that
Ithaca, NY, gets an average of 35.4 inches of rain each year, with a standard
deviation of 4.2 inches.
During what percentage of years does Ithaca get more than 30 inches of rain?
a. approximately 10.03%
b. approximately 10.95%
c. approximately 90.07%
d. approximately 5.82
e. approximately 94.18% Right Ans - C. approximately 90.07%
Statistics from Cornell's Northeast Regional Climate Center indicate that
Ithaca, NY, gets an average of 35.4 inches of rain each year, with a standard
deviation of 4.2 inches.
Less than how much rain falls in the driest 25% of all years?
a. 13.7 inches
b. 10.03 inches
c. 10.4 inches
d. 32.6 inches Right Ans - D. 32.6 inches
