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.

Question

21-08-2022
Mathematics

contestada

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.

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okpalawalter8 okpalawalter8 · Answer 1 · 2022-08-23T20:32:39+02:00

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

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