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Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts​ (a) through​ (c) below.

TInterval
​(13.046,22.15)
17.598
Sx16.01712719
n50
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Part 1
a. What is the number of degrees of freedom that should be used for finding the critical value ​t a/2?
df=
​(Type a whole​ number.)
Part 2
b. Find the critical value ta/2 corresponding to a​ 95% confidence level.
t a/2=
​(Round to two decimal places as​ needed.)
Part 3
c. Give 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 imposed on all data values.
B. The number of degrees of freedom for a collection of sample data is the number of​ unique, non-repeated sample values.
C. The number of degrees of freedom for a collection of sample data is the total number of sample values.
D. 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 on all data values.

Respuesta :

okpalawalter8

An answer to the question is as follows:

  • df= 49
  • test critical value = 2.01
  • 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 imposed on all data values.

What is the number of degrees of freedom that should be used for finding the critical value ​t a/2?

a)

Generally, the equation for degrees of freedom is  mathematically given as

df= n-1

Therefore

df= 50-1

df= 49

b)

For the  critical value

Confidence interval= 95%

df= 49

Solving using a critical value  calculator we have

test critical value = 2.01

c)

In conclusion, 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 imposed on all data values. Option D is correct

Read more about degrees of freedom

at brainly.com/question/16254305

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