BUAL 2650 Exam Reviews (Gupta) |
Exam 1, Exam 2 & Final Study
Guides
Description:
Comprehensive study guide collection for BUAL 2650 covering Exam 1, Exam 2, and Final
Exam review materials under Gupta. This resource includes structured practice questions
and answers designed to reinforce key concepts in probability, statistics, and business
analytics.
Each section helps students strengthen understanding of statistical methods, improve
problem-solving skills, and prepare confidently for all major assessments throughout the
course.
Topics Covered:
• Probability and Distributions
• Normal and Binomial Distributions
• Sampling Distributions and Central Limit Theorem
• Z-Scores and Standardization
• Hypothesis Testing (t-test, z-test, chi-square)
• Confidence Intervals
• ANOVA Basics
• Correlation and Regression Analysis
• Statistical Inference
• Data Interpretation and Business Applications
• Exam 1 Core Concepts
• Exam 2 Core Concepts
• Final Exam Comprehensive Review
Ideal for students preparing for BUAL 2650 Exam 1, Exam 2, and Final Exam under Gupta.
,BUAL 2650 Exam 1 Review – (With
Answers)
● When is a uniform distribution appropriate?
ANSWER: When all values of a continuous random variable occur with
approximately equal frequency.
● When is the normal approximation to the binomial appropriate?
ANSWER: When np ≥ 5 and n(1 − p) ≥ 5.
● A negative z-score means what?
ANSWER: The value is below the mean.
● Which statement is NOT a property of the normal distribution?
ANSWER: “95.44% of values lie within ±3 standard deviations.” (Incorrect; correct is
99.73%)
● Within ±3 standard deviations of the mean, what percentage of values lie in a normal
distribution?
ANSWER: 99.73%
● What does a z-value represent?
ANSWER: The number of standard deviations a value is from the mean.
● What is a uniform distribution?
ANSWER: A distribution where probability is evenly distributed over an interval.
● What determines the shape of a normal distribution?
ANSWER: The mean and standard deviation.
● What is true about the area under any continuous probability distribution?
ANSWER: It must equal 1.
● What happens when standard deviation increases?
ANSWER: The normal curve becomes wider and flatter.
● Mean of the standard normal distribution is:
ANSWER: 0
● As sample size increases, what happens to sampling distribution of the mean?
ANSWER: It becomes approximately normal.
,● Central Limit Theorem states:
ANSWER: For large samples, the sampling distribution of the mean is approximately
normal.
● The t-distribution depends on:
ANSWER: Degrees of freedom.
● When σ is unknown and n is small, which distribution is used for confidence
intervals?
ANSWER: t-distribution.
● Effect of decreasing standard deviation on confidence interval:
ANSWER: The interval becomes narrower.
● A confidence interval is centered around:
ANSWER: The sample mean.
● 90% confidence interval (n=9, x̄=3, s=0.3):
ANSWER: 2.814 to 3.186
● 99% confidence interval (n=36, x̄=3, s=0.3):
ANSWER: 2.864 to 3.136
● Sample size needed (95% confidence, σ=0.25, error=0.02):
ANSWER: 601
● Rejecting a true null hypothesis is called:
ANSWER: Type I error.
● Null hypothesis for cigarette tax opinion (p > 0.66 test):
ANSWER: H₀: p ≤ 0.66
● Test statistic when n = 51 and σ is known:
ANSWER: z-test
● Area between z=0 and z=1 compared to z=1 and z=2:
ANSWER: Greater
● Which is NOT a continuous distribution?
ANSWER: Binomial distribution
● For continuous variables, P(X = a) equals:
ANSWER: 0
● Uniform distribution (115 to 151):
ANSWER: f(x) = 1/36
● Shape of sampling distribution when n = 64:
ANSWER: Approximately normal
● Sampling distribution (n=64, μ=20, σ=4):
ANSWER: Mean = 20, SD = 0.5
, ● Sampling distribution of proportion (p=0.6, n=241):
ANSWER: Mean = 0.6, Variance = 0.000996, SD = 0.0136
● Sampling proportion (p=0.8, n=116):
ANSWER: Mean = 0.8, SD = 0.04
● Test statistic is compared to:
ANSWER: A critical value
● If n < 30 and σ unknown, use:
ANSWER: t-distribution
● Bottling company hypothesis:
ANSWER: H₀: μ = 7, Hₐ: μ ≠ 7
● Power plant hypothesis test:
ANSWER: H₀: μ ≤ 60, Hₐ: μ > 60
● Degrees of freedom when n = 100:
ANSWER: 99
● If rejected at α = 0.01, then at α = 0.05:
ANSWER: Always rejected
●
●
Exam 1, Exam 2 & Final Study
Guides
Description:
Comprehensive study guide collection for BUAL 2650 covering Exam 1, Exam 2, and Final
Exam review materials under Gupta. This resource includes structured practice questions
and answers designed to reinforce key concepts in probability, statistics, and business
analytics.
Each section helps students strengthen understanding of statistical methods, improve
problem-solving skills, and prepare confidently for all major assessments throughout the
course.
Topics Covered:
• Probability and Distributions
• Normal and Binomial Distributions
• Sampling Distributions and Central Limit Theorem
• Z-Scores and Standardization
• Hypothesis Testing (t-test, z-test, chi-square)
• Confidence Intervals
• ANOVA Basics
• Correlation and Regression Analysis
• Statistical Inference
• Data Interpretation and Business Applications
• Exam 1 Core Concepts
• Exam 2 Core Concepts
• Final Exam Comprehensive Review
Ideal for students preparing for BUAL 2650 Exam 1, Exam 2, and Final Exam under Gupta.
,BUAL 2650 Exam 1 Review – (With
Answers)
● When is a uniform distribution appropriate?
ANSWER: When all values of a continuous random variable occur with
approximately equal frequency.
● When is the normal approximation to the binomial appropriate?
ANSWER: When np ≥ 5 and n(1 − p) ≥ 5.
● A negative z-score means what?
ANSWER: The value is below the mean.
● Which statement is NOT a property of the normal distribution?
ANSWER: “95.44% of values lie within ±3 standard deviations.” (Incorrect; correct is
99.73%)
● Within ±3 standard deviations of the mean, what percentage of values lie in a normal
distribution?
ANSWER: 99.73%
● What does a z-value represent?
ANSWER: The number of standard deviations a value is from the mean.
● What is a uniform distribution?
ANSWER: A distribution where probability is evenly distributed over an interval.
● What determines the shape of a normal distribution?
ANSWER: The mean and standard deviation.
● What is true about the area under any continuous probability distribution?
ANSWER: It must equal 1.
● What happens when standard deviation increases?
ANSWER: The normal curve becomes wider and flatter.
● Mean of the standard normal distribution is:
ANSWER: 0
● As sample size increases, what happens to sampling distribution of the mean?
ANSWER: It becomes approximately normal.
,● Central Limit Theorem states:
ANSWER: For large samples, the sampling distribution of the mean is approximately
normal.
● The t-distribution depends on:
ANSWER: Degrees of freedom.
● When σ is unknown and n is small, which distribution is used for confidence
intervals?
ANSWER: t-distribution.
● Effect of decreasing standard deviation on confidence interval:
ANSWER: The interval becomes narrower.
● A confidence interval is centered around:
ANSWER: The sample mean.
● 90% confidence interval (n=9, x̄=3, s=0.3):
ANSWER: 2.814 to 3.186
● 99% confidence interval (n=36, x̄=3, s=0.3):
ANSWER: 2.864 to 3.136
● Sample size needed (95% confidence, σ=0.25, error=0.02):
ANSWER: 601
● Rejecting a true null hypothesis is called:
ANSWER: Type I error.
● Null hypothesis for cigarette tax opinion (p > 0.66 test):
ANSWER: H₀: p ≤ 0.66
● Test statistic when n = 51 and σ is known:
ANSWER: z-test
● Area between z=0 and z=1 compared to z=1 and z=2:
ANSWER: Greater
● Which is NOT a continuous distribution?
ANSWER: Binomial distribution
● For continuous variables, P(X = a) equals:
ANSWER: 0
● Uniform distribution (115 to 151):
ANSWER: f(x) = 1/36
● Shape of sampling distribution when n = 64:
ANSWER: Approximately normal
● Sampling distribution (n=64, μ=20, σ=4):
ANSWER: Mean = 20, SD = 0.5
, ● Sampling distribution of proportion (p=0.6, n=241):
ANSWER: Mean = 0.6, Variance = 0.000996, SD = 0.0136
● Sampling proportion (p=0.8, n=116):
ANSWER: Mean = 0.8, SD = 0.04
● Test statistic is compared to:
ANSWER: A critical value
● If n < 30 and σ unknown, use:
ANSWER: t-distribution
● Bottling company hypothesis:
ANSWER: H₀: μ = 7, Hₐ: μ ≠ 7
● Power plant hypothesis test:
ANSWER: H₀: μ ≤ 60, Hₐ: μ > 60
● Degrees of freedom when n = 100:
ANSWER: 99
● If rejected at α = 0.01, then at α = 0.05:
ANSWER: Always rejected
●
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