Solve the following problems involving parametric inferential statistics in theseinteractive notes, based on the following context.

One of the longest and largest breeds of domesticated cats in the world is the Maine Coon.A histogram of the weight of the cats of this breed reportedly approximately resembles a routine bell curve, and is distributed accordingly.The population standard deviation for the weight of this breedis approximately 2.5pounds, according to one interpretation of veterinary statistics.Animal scientist and amateurstatistician Angel Solstice collected an SRS of64 Maine Coon cats and found their sample mean weight to be 20.425 pounds.If she wants to be 80% confident in her prediction of the true mean weight for all the cats of this breed, can she reasonably estimate the average weight for a Maine Coon at 20 pounds?

#1:Based on this context, is this an illustration of descriptive or inferential statistics?

1. descriptive statistics
2. inferential statistics

#2:As a reminder, the acronymSRSis an abbreviation for what phrase?

Answer:

#3:FALSEorTRUEThe random variable in this context would represent the weight, in pounds, of a Maine Coon cat.

TrueFalse

#4:FALSEorTRUEThe probability distribution that best describes the random variable in this context is thenormalor when standardized thestandard normalbecause the sample size is sufficiently large but most importantly because the approximate population standard deviation,, is known.

TrueFalse

#5:Based on this context, which probability distribution is most appropriate?

1. x^2
2. F
3. t
4. z

#6: Is it fundamentally appropriate to interpret confidence level, such as 80%in this instance,asonlythe chance or likelihood of getting the inference, or statistically based educated guess,completely correct?

1. Yes
2. No

#7: Is itmoreappropriate to interpretconfidence 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 capturedwithin the bounds of the confidence interval 80 times, and it would fall outside the interval 20 times, on average?

1. Yes
2. No

#8:FALSEorTRUE: The confidence level, 80% in this example, can routinely be represented symbolically as.

1. True
2. False

#9: Is it reasonable to consider the main area centrally locatedunder a bell-shaped curve as the graphical representation of the confidence level for this context?

1. Yes
2. No

#10:What is the level of significance, or, that corresponds to an 80% confidence level, expressed as a percentage?

Answer:

#11:Is it reasonable to consider the tailareasunder a bell-shaped curve located at the extremesas the graphical representation of the significance level for this context?

1. Yes
2. No

#12: Is it reasonable to observe that the probabilities associated with confidence and significance arecomplementary?

1. Yes
2. No

#13:In other words, the probabilities associated with confidence and significance should add to what percentage?

Answer:

#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?

Answer:

#15:What is the corresponding software output using theCONFIDENCEorCONFIDENCE.NORMfunctions in statistical spreadsheets, expressed and rounded to six decimal places?

Answer:

#16:What is the lower bound for the 80% confidence interval about the population mean, rounded to two decimal places?

Answer:

#17:What is the upper bound for the 80% confidence interval about the population mean, rounded to two decimal places?

Answer:

#18: Does the hypothesized value of 20pounds for the mean weight of a Maine Coon cat fall within the bounds of this 80%confidence interval?

1. Yes
2. No

#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?

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

a.YES, highly reasonable as an estimateofthe population mean

b.YES, reasonable as an estimateofthe population mean

c.YES, marginally reasonable as an estimateofthe population mean

d.NO, marginally unreasonable as an estimate of the population mean

e.NO, unreasonable as an estimateofthe population mean

f.NO, highly unreasonable as an estimateofthe population mean

#20:Can this parametric inferential method be considered an alternative approach to hypothesis testing?

1. Yes
2. No