Question
efer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through © below.
Click the icon to view a t distribution table.
What is the number of degrees of freedom that should be used for finding the critical value
?
pe a whole number.)
Find the critical value
corresponding to a
confidence level.
und to two decimal places as needed.)
ive a brief general description of the number of degrees of freedom.
A. The number of degrees of freedom for a collection of sample data is the number of sample values that are determined after certain restrictions have been imp
8. The number of degrees of freedom for a collection of sample data is the number of sample values that can vary after certain restrictions have been imposed o
C. The number of degrees of freedom for a collection of sample data is the number of unique, non-repeated sample values.
. The number of degrees of freedom for a collection of sample data is the total number of sample values
Click the icon to view a t distribution table.
pe a whole number.)
Find the critical value
ive a brief general description of the number of degrees of freedom.
A. The number of degrees of freedom for a collection of sample data is the number of sample values that are determined after certain restrictions have been imp
8. The number of degrees of freedom for a collection of sample data is the number of sample values that can vary after certain restrictions have been imposed o
C. The number of degrees of freedom for a collection of sample data is the number of unique, non-repeated sample values.
. The number of degrees of freedom for a collection of sample data is the total number of sample values
Ask by Zimmerman Erickson. in the United States
Mar 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
To find the critical value
for a
confidence level, first determine the degrees of freedom (df) using
. Then, look up
in the t-distribution table corresponding to the calculated df. The degrees of freedom represent the number of independent pieces of information that go into the estimate of a parameter.
Solution
To solve the problem, we need to follow these steps:
Step 1: Determine the Number of Degrees of Freedom
The number of degrees of freedom (df) for a sample is typically calculated as:
where
is the sample size.
Step 2: Find the Critical Value
For a
confidence level, we need to find
where
. Since this is a two-tailed test, we will look for
in the t-distribution table.
Step 3: General Description of Degrees of Freedom
The correct description of degrees of freedom is that it represents the number of values in the final calculation of a statistic that are free to vary.
Now, let’s proceed with the calculations. Please provide the sample size
so that we can calculate the degrees of freedom and find the critical value
.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
The number of degrees of freedom (df) is typically calculated as the sample size minus one (n - 1) when dealing with estimates of population parameters. So, if you have, for example, a sample size of 30, the degrees of freedom would be 29. This concept is crucial in statistical analyses, particularly when referring to t-distributions used in confidence intervals and hypothesis testing, ensuring that we accurately reflect sample variability.
When applying the t-distribution to find the critical value
for a 95% confidence interval, you will look up the value corresponding to both your degrees of freedom and a significance level of 0.025 in a t-table. For instance, with 30 samples (29 degrees of freedom), you’d find that
is approximately 2.045, giving a measure of how much your sample can vary when estimating the population mean. This characterizes the level of confidence in your sample estimate!