MAS 291 - Final Exam Questions and Answers Latest Update 2025
a - Answers Suppose data is obtained from 27 pairs of (x,y) and the sample correlation
coefficient is 0.7.
Test the hypothesis that H : ρ =0 agianst H :ρ≠0 with α =0.05. Let t =2.06.
Select one:
a. reject the null hypothesis
b. do not reject the null hypothesis
a, d - Answers The nine measurements that follow are furnace temperatures
recorded on successive batches in a semiconductor
manufacturing process: 953, 950, 948, 955, 951,
949, 957, 954, 955. Which the following statement is FALSE?
Select one or more:
a. Median: 952.44
b. Sample Standard Deviation: 3.09
c. Sample Variance: 9.53
d. Sample Mean: 953
b - Answers If a psychologist observed that four 5-year-old children initiated 2, 4, 6, and 12
incidents of
aggression during a play period, the mean number of aggressive incidents for this group of
four children was
Select one:
a. 9
b. 6
c. 4
d. None of the other choices is correct
e. 5
,a - Answers The time between calls to a plumbing supply business is exponentially distributed
with a
mean time between calls of 15 minutes. What is the probability that there are no calls within
a 45-minute interval?
Select one:
a. e^-3
b. e^3
c. e^-2
d. None of others
c - Answers Given the equation of a regression line is 1= 3.5x - 5.4, what is the
best predicted value for y given x = - 1.2 .Assume that the variables x
and y have a significant correlation.
Select one:
a. 12.3
b. -6.9
c. -9.6
d. -12.3
c - Answers Let C(n,k) be k-combination from n elements. You pick a bit string from the set of all
bit
strings of length ten. Which the following statement is TRUE ? .
Select one:
a. All of the others.
b. P (the bit string begins and ends with 0) = 2^8/2^10
c. P(the bit string has exactly two 1s) = C(10,2)/2^10
d. P (the bit string has the sum of its digits equal to seven) = C(10,7)/2^10
c, d - Answers In a particular production run, 20% of the chips are subjected to high levels of
,contamination, 30% to medium levels of contamination, and 50% to low levels of
contamination. We have
Select one or more:
a. P(Not Fail | High) = 0.02
b. P(Fail | Low) = 0.4995
c. P(Not Fail | Medium) = 0.297
d. P(Fail | Medium) = 0.003
b - Answers The daily intakes of milk (in ounces) for ten randomly selected people were: 22.3
12.9 23.1
26.3 10.8 26.8 27.4 29.7 19.0 19.9 Find a 99% confidence interval for the population
standard deviation σ. Given that s^2 =39.18. Let X^2 (0,0059) = 23,59; X^2 (0,9959) = 1.73.
Select one:
a. [0.89, 3.40]
b. [3.87, 14.28]
c. None of the other choices is correct
d. [3.74, 12.81]
e. [3.87, 12.81]
b - Answers Which statement is true for the scores of 1, 2, 3, 4, 5, 5, 7, 8, 9, and 10?
Select one:
a. The mean is less than the mode.
b. The mean is greater than the median.
c. The mode is greater than the median.
d. The median is greater than the mean.
b - Answers The national weather service says that the mean daily high temperature for October
in a
large Midwestern city is 56°F. A local weather service wants to test the claim of 56°F
, because it believes it is lower. A sample of mean daily high temperatures for October over
the past 31 years yields =54°F and s=5.6°F. Test the claim at α=0.01 significance level.
z(0.005) =2.58, z(0.01) =2.33
Select one:
a. I can say with 99 % confidence that the true mean temp is less than 56 F.
b. I can not say with 99 % confidence that the true mean temp is less than 56 F.
d - Answers A random sample of size n₁ =16 is selected from a normal population with a mean
of 84 and
a standard deviation of 8. A second random sample of size n₂ =9 is taken from another
normal population with a mean of 80 and standard deviation 12. Let X₁ and X₂ be the two
sample means. Find P(X₁ - X₂ ≤ 4.5).
Let P(Z≤ 0.11)=0.5438; Z is a normal standard random variable.
Select one:
a. None of others.
b. 0.4562
c. 0.6438
d. 0.5438
e. 1
a - Answers A normal population has mean 96 and variance 14. How large must be the random
sample
be if we want the standard error of the sample mean to be 1.5?
Select one:
a. 7
b. 9
c. 6
d. 8
a - Answers Suppose data is obtained from 27 pairs of (x,y) and the sample correlation
coefficient is 0.7.
Test the hypothesis that H : ρ =0 agianst H :ρ≠0 with α =0.05. Let t =2.06.
Select one:
a. reject the null hypothesis
b. do not reject the null hypothesis
a, d - Answers The nine measurements that follow are furnace temperatures
recorded on successive batches in a semiconductor
manufacturing process: 953, 950, 948, 955, 951,
949, 957, 954, 955. Which the following statement is FALSE?
Select one or more:
a. Median: 952.44
b. Sample Standard Deviation: 3.09
c. Sample Variance: 9.53
d. Sample Mean: 953
b - Answers If a psychologist observed that four 5-year-old children initiated 2, 4, 6, and 12
incidents of
aggression during a play period, the mean number of aggressive incidents for this group of
four children was
Select one:
a. 9
b. 6
c. 4
d. None of the other choices is correct
e. 5
,a - Answers The time between calls to a plumbing supply business is exponentially distributed
with a
mean time between calls of 15 minutes. What is the probability that there are no calls within
a 45-minute interval?
Select one:
a. e^-3
b. e^3
c. e^-2
d. None of others
c - Answers Given the equation of a regression line is 1= 3.5x - 5.4, what is the
best predicted value for y given x = - 1.2 .Assume that the variables x
and y have a significant correlation.
Select one:
a. 12.3
b. -6.9
c. -9.6
d. -12.3
c - Answers Let C(n,k) be k-combination from n elements. You pick a bit string from the set of all
bit
strings of length ten. Which the following statement is TRUE ? .
Select one:
a. All of the others.
b. P (the bit string begins and ends with 0) = 2^8/2^10
c. P(the bit string has exactly two 1s) = C(10,2)/2^10
d. P (the bit string has the sum of its digits equal to seven) = C(10,7)/2^10
c, d - Answers In a particular production run, 20% of the chips are subjected to high levels of
,contamination, 30% to medium levels of contamination, and 50% to low levels of
contamination. We have
Select one or more:
a. P(Not Fail | High) = 0.02
b. P(Fail | Low) = 0.4995
c. P(Not Fail | Medium) = 0.297
d. P(Fail | Medium) = 0.003
b - Answers The daily intakes of milk (in ounces) for ten randomly selected people were: 22.3
12.9 23.1
26.3 10.8 26.8 27.4 29.7 19.0 19.9 Find a 99% confidence interval for the population
standard deviation σ. Given that s^2 =39.18. Let X^2 (0,0059) = 23,59; X^2 (0,9959) = 1.73.
Select one:
a. [0.89, 3.40]
b. [3.87, 14.28]
c. None of the other choices is correct
d. [3.74, 12.81]
e. [3.87, 12.81]
b - Answers Which statement is true for the scores of 1, 2, 3, 4, 5, 5, 7, 8, 9, and 10?
Select one:
a. The mean is less than the mode.
b. The mean is greater than the median.
c. The mode is greater than the median.
d. The median is greater than the mean.
b - Answers The national weather service says that the mean daily high temperature for October
in a
large Midwestern city is 56°F. A local weather service wants to test the claim of 56°F
, because it believes it is lower. A sample of mean daily high temperatures for October over
the past 31 years yields =54°F and s=5.6°F. Test the claim at α=0.01 significance level.
z(0.005) =2.58, z(0.01) =2.33
Select one:
a. I can say with 99 % confidence that the true mean temp is less than 56 F.
b. I can not say with 99 % confidence that the true mean temp is less than 56 F.
d - Answers A random sample of size n₁ =16 is selected from a normal population with a mean
of 84 and
a standard deviation of 8. A second random sample of size n₂ =9 is taken from another
normal population with a mean of 80 and standard deviation 12. Let X₁ and X₂ be the two
sample means. Find P(X₁ - X₂ ≤ 4.5).
Let P(Z≤ 0.11)=0.5438; Z is a normal standard random variable.
Select one:
a. None of others.
b. 0.4562
c. 0.6438
d. 0.5438
e. 1
a - Answers A normal population has mean 96 and variance 14. How large must be the random
sample
be if we want the standard error of the sample mean to be 1.5?
Select one:
a. 7
b. 9
c. 6
d. 8
