W#4 NOTE Parametric Inference Confidence Intervals

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Fairleigh Dickinson University *

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2023

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Statistics

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Apr 3, 2024

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Wi#4 NOTE Parametric Inference Confidence Intervals Question 1 #1: Based on this context, is this an illustration of descriptive or inferential statistics? a. descriptive statistics b. inferential statistics Selected Answer: b. Inferential statistics Question 2 #2: As a reminder, the acronym SRS is an abbreviation for what phrase? Selected Answer: simple random sample Question 3 #3: The random variable in this context would represent the weight, in pounds, of a Maine Coon cat. Agree or disagree? Selected Answer: Agree Question 4 1.5 out of 1.5 points 2 out of 2 points 1 out of 1 points 1 out of 1 points #4: The probability distribution that best describes the random variable in this context is the normal or when standardized the standard normal because the sample size is sufficiently large but most importantly because the approximate population standard deviation,o, is known. Agree or disagree? Selected Answer: Agree

Question 5 1.5 out of 1.5 points #5: Based on this context, which probability distribution is most appropriate? a. 112 b. F c. t d z Selected Answer: d.z Question 6 0.5 out of 0.5 points #6: It is fundamentally appropriate to interpret confidence level, such as 80% in this instance, as only the chance or likelihood of getting the inference, or statistically based educated guess, completely correct. Agree or disagree? Selected Answer: Disagree Question 7 0.5 out of 0.5 points #7: It is more appropriate to interpret confidence levels as follows: if an experiment, such as weighing random samples of 20 Maine Coon cats, is similarly repeated for 100 iterations, the true parametric value of their mean weight would likely be captured within the bounds of the confidence interval 80 times, and it would fall outside the interval 20 times, on average. Agree or disagree? Selected Answer: Agree Question 8 0.5 out of 0.5 points #8: The confidence level, 80% in this example, can routinely be represented symbolically as 1 — a. Agree or disagree? Selected Answer: Agree Question 9 0.5 out of 0.5 points #9: It is reasonable to consider the main area centrally located under a bell-shaped curve as the graphical representation of the confidence level for this context. Agree or disagree? Selected Answer: Agree Question 10 2 out of 2 points #10: What is the level of significance, or @, that corresponds to an 80% confidence level, expressed as a percentage? Selected Answer: 20% Question 11 0.5 out of 0.5 points #11: Itis reasonable to consider the tail areas under a bell-shaped curve located at the extremes as the graphical representation of the significance level for this context. Agree or disagree? Selected Answer: Agree Question 12 0.5 out of 0.5 points #12: It is reasonable to observe that the probabilities associated with confidence and significance are complementary. Selected Answer: Agree Question 13 1 out of 1 points #13: In other words, the probabilities associated with confidence and significance should add to what percentage? Selected Answer: 100%

Question 14 2 out of 2 points #14: What is the absolute value of the critical value associated with 80% confidence for a normally distributed random variable, rounded to two decimal places? Selected Answer: Question 15 1.28 2.5 out of 2.5 points #15: What is the corresponding software output using the CONFIDENCE or CONFIDENCE.NORM functions in statistical spreadsheets, expressed and rounded to six decimal places? Selected Answer: Question 16 #16: What is the lower bound for the 80% confidence interval about the population mean, rounded to two decimal places? Selected Answer: Question 17 #17: What is the upper bound for the 80% confidence interval about the population mean, rounded to two decimal places? Selected Answer: Question 18 #18: The hypothesized value of 20 pounds for the mean weight of a Maine Coon cat fall within the bounds of this 80% confidence interval. Agree or disagree? Selected Answer: Question 19 #19: Based on these statistics, is a hypothesized value of 20 pounds a reasonable estimation of the population mean weight of these Maine Coon cats? ~0Q00Tp Selected Answer: Question 20 #20: This parametric inferential method can be considered an alternative approach to hypothesis testing. Agree or disagree? Selected Answer: 0.400485 20.02 20.83 Disagree . YES, highly reasonable as an estimate YES, reasonable as an estimate YES, marginally reasonable as an estimate NO, marginally unreasonable as an estimate NO, unreasonable as an estimate . NO, highly unreasonable as an estimate 4. NO, marginally unreasonable as an estimate of the population mean Agree 2.5 out of 2.5 points 2.5 out of 2.5 points 0.5 out of 0.5 points 1.5 out of 1.5 points 0.5 out of 0.5 points

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W#4 NOTE Parametric Inference Confidence Intervals

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