MATH 110 Module 6 Exam (Latest-2024) |
MATH110 Module 6 Exam | MATH 110 Statistics
Module 6 Exam | Portage Learning
Category 1: General Concepts & Definitions
1. What is the primary purpose of a confidence interval?
• A) To give a single, exact value for a population parameter.
• B) To provide a range of values that is likely to contain the true
population parameter.
• C) To calculate the standard deviation of a sample.
• D) To determine the p-value for a hypothesis test.
2. What does the "confidence level" (e.g., 95%) mean in the context
of a confidence interval?
• A) There is a 95% chance the sample mean is correct.
• B) If we took many samples and built a confidence interval from
each, about 95% of those intervals would contain the true
population parameter.
• C) 95% of the population data falls within the interval.
• D) The probability that our specific interval is correct is 95%.
3. What is the relationship between the confidence level and the
width of the confidence interval?
• A) A higher confidence level results in a wider interval.
• B) A higher confidence level results in a narrower interval.
, • C) The confidence level does not affect the width of the interval.
• D) The relationship is unpredictable.
Category 2: Confidence Intervals for a Population Mean (σ
Known)
4. When constructing a confidence interval for a population mean
(μ) where the population standard deviation (σ) is known, which
distribution is used?
• A) The t-distribution.
• B) The binomial distribution.
• C) The normal (z) distribution.
• D) The chi-square distribution.
5. What is the correct formula for a confidence interval for μ when σ
is known?
• A) x̄ ± t*(s/√n)
• B) x̄ ± z*(σ/√n)
• C) p̂ ± z*√(p̂(1-p̂)/n)
• D) x̄ ± ME
6. A sample of 50 students has a mean test score of 78. The population
standard deviation is known to be 5. What is the margin of error for a
95% confidence interval? (z for 95% is 1.96)*
• A) 1.96 * (5/√50) ≈ 1.39
• B) 1.96 * (78/√50) ≈ 21.67
MATH110 Module 6 Exam | MATH 110 Statistics
Module 6 Exam | Portage Learning
Category 1: General Concepts & Definitions
1. What is the primary purpose of a confidence interval?
• A) To give a single, exact value for a population parameter.
• B) To provide a range of values that is likely to contain the true
population parameter.
• C) To calculate the standard deviation of a sample.
• D) To determine the p-value for a hypothesis test.
2. What does the "confidence level" (e.g., 95%) mean in the context
of a confidence interval?
• A) There is a 95% chance the sample mean is correct.
• B) If we took many samples and built a confidence interval from
each, about 95% of those intervals would contain the true
population parameter.
• C) 95% of the population data falls within the interval.
• D) The probability that our specific interval is correct is 95%.
3. What is the relationship between the confidence level and the
width of the confidence interval?
• A) A higher confidence level results in a wider interval.
• B) A higher confidence level results in a narrower interval.
, • C) The confidence level does not affect the width of the interval.
• D) The relationship is unpredictable.
Category 2: Confidence Intervals for a Population Mean (σ
Known)
4. When constructing a confidence interval for a population mean
(μ) where the population standard deviation (σ) is known, which
distribution is used?
• A) The t-distribution.
• B) The binomial distribution.
• C) The normal (z) distribution.
• D) The chi-square distribution.
5. What is the correct formula for a confidence interval for μ when σ
is known?
• A) x̄ ± t*(s/√n)
• B) x̄ ± z*(σ/√n)
• C) p̂ ± z*√(p̂(1-p̂)/n)
• D) x̄ ± ME
6. A sample of 50 students has a mean test score of 78. The population
standard deviation is known to be 5. What is the margin of error for a
95% confidence interval? (z for 95% is 1.96)*
• A) 1.96 * (5/√50) ≈ 1.39
• B) 1.96 * (78/√50) ≈ 21.67
