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STAT2112 Statistics and Probability Second Quarter Exam 4
(50)
Fundamentals of Acountancy and business management (AMA Computer Learning
Center)
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Home / My courses / BAED-STAT2112-2022S / Week 20: Quarterly Exam / Second Quarter Exam
Question 1
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Suppose that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2
decimal places. µ = 25, σ = 5, n = 80, x̄ = 23.4
Answer:
-2.86
Question 2
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Identify the following formula:
z α ∙σ 2
p^ ∙ (1 − p^) ∙ ( E )
2
Select one:
a. Confidence Coefficient
b. Standard Deviation
c. Sample Size
d. Confidence Interval
Clear my choice
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Question 3
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King Lo Electronics claims that the new brand of computer will last for 25,000 hours. A research company conducted a test on the
information. The company randomly select and test 100 cellular phone. The data from the sample shows that the mean life of the cellular
phone is 20,000 hours, with a standard deviation of 1000 hours. Determine the 95% confidence interval of the mean life of the cellular
phone.
Select one:
a. (26,928, 27,375)
b. (23,467, 24,639)
c. (17,482, 18,649)
d. (19,804, 20,196)
Clear my choice
Question 4
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Given the sample size (n=200) and sample proportion (p=0.70), find the approximate margin of error for the 90% confidence interval:
Select one:
a. 0.085
b. 0.039
c. 0.053
d. 0.072
Clear my choice
Question 5
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Point estimate is
Select one:
a. Equal to the population mean
b. Always equal to the number or samples
c. A statistical that estimates a population parameter
d. A range of possible values for a population parameter.
Clear my choice
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Question 6
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Given the formula in determining the minimum sample size needed when estimating the population proportion and if no approximation is
known, what value of p̂ will be used?
Select one:
a. 2
b. 1
c. 0.5
d. 0
Clear my choice
Question 7
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In a ____________, high values in one variable correspond to high values in the other variable.
Select one:
a. Scattered Correlation
b. Perfect Correlation
c. Positive Correlation
d. Negative Correlation
Clear my choice
Question 8
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The variable that causes an effect
Select one:
a. Correlation variable
b. Response variable
c. Trend variable
d. Explanatory variable
Clear my choice
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Question 9
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Given the data below, what is the direction of the association between the two variables.
Select one:
a. Positive linear association
b. Strong linear association
c. Negative linear association
d. Weak linear association
e. None of the choices
Clear my choice
Question 10
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It is also called independent variable
Select one:
a. Explanatory variable
b. Response variable
c. Trend variable
d. Correlation variable
Clear my choice
Question 11
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A building contractor/engineer is increasing his price for building projects, claiming that the cost of labor and material is going up and
accounts for 65% of his budget. In a random sample of 30 of his projects it is found that in 20 of the projects the cost of the material is
higher. At the 5% level of significance, test the contractor/engineer’s claim. Based on the test, what can you conclude?
Select one:
a. Accept the null hypothesis
b. Reject the null hypothesis
Clear my choice
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Question 12
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Given the equation y = 8x+ 14, what is the slope?
Answer:
8
Question 13
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Given the sample size (n=400) and sample proportion (p=0.70), find the approximate margin of error for the 99% confidence interval:
Select one:
a. 0.039
b. 0.330
c. 0.086
d. 0.059
Clear my choice
Question 14
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The equation y=mx + b is also known as
Select one:
a. correlation intercept form
b. y intercept
c. slope intercept form
d. xy intercept form
Clear my choice
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Question 15
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A survey of 200 people finds that they work on average of 8 hours a day. If the margin of error at 98% confidence level is 1.2 hours. How do
you compute for the lower confidence interval?
Select one:
a. 8 hours less 1.2 hours multiplied by the z score at 98% confidence level
b. None of the choices
c. 8 hours less 1.2 hours
d. Z score plus less the square root of 8 hours less 1.2 hours
Clear my choice
Question 16
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Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2
decimal places.
µ = 31.2, σ = 3, n = 66, x̄ = 32
Answer:
2.17
Question 17
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Given the table below, what is the slope?
Select one:
a. 2
b. 1
c. 8
d. 7
Clear my choice
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Question 18
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What is the null hypothesis to the claim that people like android phone than IOS? State the null hypothesis.
Select one:
a. More people like IOS phone than android phone
b. Less people like IOS than android
c. Less people like android and IOS phone
d. More people like android than IOS phone
Clear my choice
Question 19
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Expenditure is an example of a
Select one:
a. Correlation variable
b. Trend variable
c. Response variable
d. Explanatory variable
Clear my choice
Question 20
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Given α=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
1.0
Select one:
a. Do not Reject
b. Cannot be determined
c. Reject
Clear my choice
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Question 21
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A survey was conducted to 200 Grade 6 students who uses the internet in research instead of the school library. Based on the survey, 160
students responded Yes. What is the population proportion to students who uses the library in their research?
Select one:
a. Insufficient information to compute the proportion.
b. 30%
c. 20%
d. 80%
Clear my choice
Question 22
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Point estimate is
Select one:
a. Always equal to the number or samples
b. A statistical that estimates a population parameter
c. Equal to the population mean
d. A range of possible values for a population parameter.
Clear my choice
Question 23
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Given the sample size (n=250) and sample proportion (p=0.40), find the approximate margin of error for the 90% confidence interval:
Select one:
a. 0.07
b. 0.03
c. 0.08
d. 0.05
Clear my choice
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Question 24
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Margin of error is
Select one:
a. the product of confidence coefficient and standard deviation divided by the square root of the sample size
b. the quotient of confidence coefficient and standard deviation multiplied by the square root of the sample size
c. the quotient of confidence coefficient and square root of the sample size divided standard deviation
d. the product of confidence coefficient and square root of the sample size divided by standard deviation
Clear my choice
Question 25
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About 30% of the male population living in an urban area smokes cigarette. A researcher believes that male aged 16-30 are more likely
smokes cigarette than other ages in the urban area population. The researcher surveys 300 male aged 16-30 and finds that 80 of them
smokes cigarette: What is the test statistic for this scenario?
Select one:
a. -0.998
b. -1.260
c. -3.661
d. -2.729
Clear my choice
Question 26
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Given the sample size (n=300) and sample proportion (p=0.56), find the approximate margin of error for the 90% confidence interval:
Select one:
a. 0.055
b. 0.069
c. 0.039
d. 0.047
Clear my choice
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Question 27
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The equation y=mx + b is also known as
Select one:
a. xy intercept form
b. slope intercept form
c. correlation intercept form
d. y intercept
Clear my choice
Question 28
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Given n=10, x̄ =28, s=2.0, 95% confidence. Assuming that the samples come from a normal distribution, find the margin of error.
Select one:
a. 0.63
b. 1.24
c. 3.16
d. 26.76
Clear my choice
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Question 29
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Given the table, determine the slope intercept equation.
X
1
2
3
Y
3
5
7
Select one:
a. y = x + 3
b. y = x + 2
c. y = 2x + 1
d. y = 3x - 2
Clear my choice
Question 30
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Suppose a new cancer treatment is given to a sample of 500 patients. The treatment was successful for 300 of the patients. Assume that
these patients are representative of the population of individuals who have this cancer.
Calculate the sample proportion that was successfully treated.
Select one:
a. 0.85
b. 0.60
c. 0.72
d. 0.30
Clear my choice
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Question 31
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Sampling distribution of proportions is randomly distributed.
Select one:
a. TRUE
b. FALSE. Replace the word proportion with “p hat”
c. FALSE. Replace the word randomly with normally.
d. FALSE. Replace the word Sampling distribution with Confidence Coefficient
Clear my choice
Question 32
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What is the formula of z score?
Select one:
a.
z=
x̄−σ
μ/√−
n
b. All of the choices
c.
z=
(x̄−μ)
σ/√−
n
2
d. None of the choices
e.
z=
x̄−μ
σ/√−
n
Clear my choice
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Question 33
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Given the table below, what is the slope?
Select one:
a. 8
b. 9
c. 3
d. 11
Clear my choice
Question 34
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Compute for the correlation coefficient.
X
Y
22
86
25
89
30
92
26
90
28
90
29
91
Select one:
a. 0.911
b. 0.928
c. 0.937
d. 0.964
Clear my choice
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Question 35
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Find the sample size given 95% confidence, Margin of Error = 0.05 and ̂p=0.15.
Answer:
196
Question 36
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Find the sample size given 99% confidence, Margin of Error = 0.11 and ̂p = 0.35.
Answer:
126
Question 37
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Year is an example of a
Select one:
a. Response variable
b. Explanatory variable
c. Correlation variable
d. Trend variable
Clear my choice
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Question 38
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The traffic management office claims that 65% of road accidents are related to motorcycles. In a random sample of 200 accidents, it is found
that 135 of the accidents are related to motorcycles.
What is the standard error of the proportion?
Select one:
a. 0.077
b. 0.062
c. 0.045
d. 0.034
Clear my choice
Question 39
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Given the following data, find the upper bound of confidence interval. Your answer must be in two decimal places.
Sample size = 100, Mean = 75, Standard Deviation = 20, 99% confidence
Answer:
80.16
Question 40
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A survey of 900 people finds that they work on average of 9 hours a day. If the margin of error at 98% confidence level is 1.5 hours. What is
the solution to find the lower confidence interval?
Select one:
a. Z score plus less the square root of 9 hours less 1.5 hours
b. All of the choices
c. 9 hours less 1.5 hours multiplied by the z score at 98% confidence level
d. 9 hours less 1.5 hours
e. None of the choices
Clear my choice
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Question 41
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Find the sample size given 90% confidence, Margin of Error = 0.15 and ̂p =0.25.
Select one:
a. 23
b. 22
c. 21
d. 20
Clear my choice
Question 42
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A private organization telephone poll of 900 adults, aged 18 and older, living in the country found that 75% of citizen feel confident in the
accuracy of their doctor's advice, and don't feel the need to check for a second opinion or do additional research. The margin of error for
this survey was given as ±10 percentage points. Find a 90% upper confidence interval estimate of the percent of adults who feel confident in
the accuracy of their doctor’s advice and don’t feel the need to check for a second opinion.
Select one:
a. 0.329
b. 0.290
c. 0.077
d. 0.834
Clear my choice
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Question 43
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What is the formula in determining the minimum sample size needed in estimating the population mean?
Select one:
α∙
n = (z E σ)
b.
n = ( σz αE )
a.
2
∙
2
2
2
z α ∙E 2
n=( σ )
d.
n = z α2 2 ( Eσ )
c.
2
Clear my choice
Question 44
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A building contractor/engineer is increasing his price for building projects, claiming that the cost of labor and material is going up and
accounts for 65% of his budget. In a random sample of 30 of his projects it is found that in 20 of the projects the cost of the material is
higher.
What is the observed value of the sample proportion?
Select one:
a. 0.667
b. 0.921
c. 0.739
d. 0.429
Clear my choice
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Question 45
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Three characteristics of a bivariate are
Select one:
a. X axes, Y axes & points
b. Points, line, XY axes
c. Dependent, independent & response variables
d. Shape, direction and strength
Clear my choice
Question 46
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Given the equation 3y = 21x + 9, what is the slope?
Answer:
7
Question 47
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This separates the rejection region to the region where we do not reject the null hypothesis.
Select one:
a. Z score
b. chi value
c. Null value
d. Critical value
Clear my choice
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Question 48
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Given the table below, what is the linear equation?
Select one:
a. y=7x + 1
b. y=2x + 7
c. y=7x + 5
d. y=5x + 2
Clear my choice
Question 49
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A Police Sub Station claims that 45% of crimes are related to cell phone snatching. In a random sample of 150 accidents, it is found that 60
of the accidents are related to cell phone snatching.
What is the test statistic for this scenario?
Select one:
a. 2.112
b. -1.231
c. 1.992
d. -0.066
Clear my choice
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Question 50
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Point estimate is
Select one:
a. A statistical that estimates a population parameter
b. A range of possible values for a population parameter.
c. Equal to the population mean
d. Always equal to the number or samples
Clear my choice
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