EXST 2201 EXAM QUESTIONS AND ANSWERS WITH COMPLETE
SOLUTIONS LATEST UPDATE
[calc] A fishery graduate student went fishing in the university lake where the fish
were known to be 14 inches long on average. The graduate student caught 8 fish
and calculated a standard deviation length of 1.5 inches. What would he expect to
be the shortest and the longest average length of the middle 99% of samples?
Between 12.14 and 15.85 inches long.
[calc] A kindergarten teacher had an incoming class of 28 students that seemed
to be both shorter and taller than usual. She measured these students, calculated
the sample average height, and calculated a standard deviation height of 2.6
inches. If the population mean height of incoming kindergarten students was
known to be 39 inches, what is the probability of the average height of this class
being less than 37.5 inches or greater than 40.5 inches?
0.005
[calc] A new workout app claims that users could burn 350 calories on average
per workout session. A local statistics student questions this claim so she looked
at samples of 12 people with a standard deviation of 25 calories burned.
What would be the least number and the greatest number of calories burned for
the middle 95% these residents?
Between 334 and 366 calories burned.
,[know] Use the t-table to find the correct tail area for a sample size of 40 and a t-
value 3.313.
0.001
[know] Use the t-table to find the correct tail area for a sample size of 32 and a t-
value 1.309.
0.10
[know] Use the t-table to find the correct tail area for a sample size of 20 and a t-
value 2.539
0.01
[know] Use the t-table to find the correct t-value for a sample size of 18 and a left
tail area of 0.05.
1.740
[know] Use the t-table to find the correct t-value for a sample size of 12 and a
right tail area of 0.025.
2.201
[know] Use the t-table to find the correct t-value for a sample size of 6 and a right
tail area of 0.10.
1.476
[know] Select the correct equation for the t-Equation.
x-μ
t = -------
s/ √n
, a) In the top row of the t-Table.
b) In the left column of the t-Table.
c) In the body of the t-Table.
A. α (area in one tail)
B. n-1 (degrees of freedom)
C. t (t-values)
a) The area in the tail (right or left) of the curve
.b) A point on the x-axis.
c) A point on the x-axis.
A. α
B. t
C. n-1
True or False: [know] The t-Distribution cannot be used to find the probability of
an event.
false
[know] Why is the t-Curve wider than the z-Curve?
Because the sample standard deviation has a wider spread than the population
standard deviation.
[know] There is only one possible value for the population standard deviation for
a given population, . How many possible values are there for the sample standard
deviation taken from this population?
There are many, many possible values for the sample standard deviation.
SOLUTIONS LATEST UPDATE
[calc] A fishery graduate student went fishing in the university lake where the fish
were known to be 14 inches long on average. The graduate student caught 8 fish
and calculated a standard deviation length of 1.5 inches. What would he expect to
be the shortest and the longest average length of the middle 99% of samples?
Between 12.14 and 15.85 inches long.
[calc] A kindergarten teacher had an incoming class of 28 students that seemed
to be both shorter and taller than usual. She measured these students, calculated
the sample average height, and calculated a standard deviation height of 2.6
inches. If the population mean height of incoming kindergarten students was
known to be 39 inches, what is the probability of the average height of this class
being less than 37.5 inches or greater than 40.5 inches?
0.005
[calc] A new workout app claims that users could burn 350 calories on average
per workout session. A local statistics student questions this claim so she looked
at samples of 12 people with a standard deviation of 25 calories burned.
What would be the least number and the greatest number of calories burned for
the middle 95% these residents?
Between 334 and 366 calories burned.
,[know] Use the t-table to find the correct tail area for a sample size of 40 and a t-
value 3.313.
0.001
[know] Use the t-table to find the correct tail area for a sample size of 32 and a t-
value 1.309.
0.10
[know] Use the t-table to find the correct tail area for a sample size of 20 and a t-
value 2.539
0.01
[know] Use the t-table to find the correct t-value for a sample size of 18 and a left
tail area of 0.05.
1.740
[know] Use the t-table to find the correct t-value for a sample size of 12 and a
right tail area of 0.025.
2.201
[know] Use the t-table to find the correct t-value for a sample size of 6 and a right
tail area of 0.10.
1.476
[know] Select the correct equation for the t-Equation.
x-μ
t = -------
s/ √n
, a) In the top row of the t-Table.
b) In the left column of the t-Table.
c) In the body of the t-Table.
A. α (area in one tail)
B. n-1 (degrees of freedom)
C. t (t-values)
a) The area in the tail (right or left) of the curve
.b) A point on the x-axis.
c) A point on the x-axis.
A. α
B. t
C. n-1
True or False: [know] The t-Distribution cannot be used to find the probability of
an event.
false
[know] Why is the t-Curve wider than the z-Curve?
Because the sample standard deviation has a wider spread than the population
standard deviation.
[know] There is only one possible value for the population standard deviation for
a given population, . How many possible values are there for the sample standard
deviation taken from this population?
There are many, many possible values for the sample standard deviation.
