Question
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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

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!

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