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


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 t a/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 :

The solution to the Question is given as

  • df= 49
  • t 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

t 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

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