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WorksheetsEstimating Parameters and Determining Sample Sizes 7-2
Total questions: 25
Worksheet time: 17mins
What is a Point Estimate in statistics?
A single value estimate of a population parameter
A range of values estimate of a population parameter
A hypothesis test result
A type of data distribution
A Confidence Interval is used in statistics to:
estimate the range within which a population parameter lies
determine the exact value of a population parameter
test a hypothesis about a population parameter
calculate the mean of a sample
Sample Size is important in estimating a population mean because:
it determines the accuracy of the estimate.
it has no effect on the estimate.
it complicates the calculation process.
it is only needed for large populations.
What does the symbol 'μ' represent in the context of confidence intervals?
A) Sample mean
B) Population mean
C) Sample standard deviation
D) Margin of error
What does the symbol 'x̄' represent in the context of confidence intervals?
A) Sample mean
B) Population mean
C) Sample standard deviation
D) Margin of error
What does the symbol 's' represent in the context of confidence intervals?
A) Sample mean
B) Population mean
C) Sample standard deviation
D) Margin of error
What does the symbol 'E' represent in the context of confidence intervals?
A) Sample mean
B) Population mean
C) Sample standard deviation
D) Margin of error
The format of a confidence interval when sigma is not known is:
(a) Z-interval
(b) T-interval
(c) Chi-square interval
(d) F-interval
For a 0.95 (or 95%) confidence level, α = ____.
0.05
0.10
0.01
0.15
How is the degrees of freedom calculated when finding the critical value?
Degrees of Freedom: df = n - 1 is the number of degrees of freedom used when finding the critical value.
Degrees of Freedom: df = n + 1 is the number of degrees of freedom used when finding the critical value.
Degrees of Freedom: df = n is the number of degrees of freedom used when finding the critical value.
Degrees of Freedom: df = n - 2 is the number of degrees of freedom used when finding the critical value.
What is the round-off rule when using an original set of data values for confidence intervals?
A) Round to the nearest whole number.
B) Round to one more decimal place than the original data.
C) Do not round.
What does the Student t distribution depend on?
Sample size
Mean
Median
Mode
What is the mean of the Student t distribution?
t = 1
t = 0
t = -1
t = 2
What are the two requirements that must be satisfied for constructing a confidence interval for Mu?
The sample must be random and the population must be normally distributed.
The sample size must be large and the population mean must be known.
The sample must be random and the sample mean must be known.
The sample size must be large and the population standard deviation must be known.
With σ unknown, what degrees of freedom should be used to find the critical value for the desired confidence level?
n
n-1
n+1
2n
What is the point estimator for the interval (-5 , 13)?
10
9.5
9
-5
Which of the following is the definition of a "point estimate?"
The average of a population.
The average of a sample.
The midpoint of a confidence interval.
The confidence interval.
What is a single value that is used to estimate an unknown parameter of a population based on sample data?
Point estimate
Parameter
Confidence level
Standard error
What is the point estimate of 71 and 79?
71
78
75
150
Identify the confidence level used in the figure below if each shaded area is equal to 0.05.
In a random sample of 1000 adult Americans, only 430 could name at least one justice who is currently serving on the US Supreme Court. A claim is that fewer than half of adult Americans can name at least one justice who is currently serving on the US Supreme Court. State the alternative hypothesis.
Ha: p=.5, where p is the true proportion of Americans who can name one justice currently serving.
Ha: p>.5, where p is the true proportion of Americans who can name one justice currently serving.
Ha: p<.5, where p is the true proportion of Americans who can name one justice currently serving.
Inferential vs descriptive statistics??
4) Uses the data to provide descriptions of the population, either through numerical calculations or graphs or tables.
Descriptive
Inferential
