Test: EXAM3 Submit Te This Question: 1 pt 18 of 21 (6 complete) This Test: 21 pt

Question

Test: EXAM3 Submit Te This Question: 1 pt 18 of 21 (6 complete) This Test: 21 pts poss Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (o) below Tinterval (13.046,22.15) x 1 7.598 Sx 16.01712719 n 50 Click the icon to view a t distribution table a. What is the number of degrees of freedom that should be used for finding the critical value t/2 (Type a whole number.) b. Find the critical value a/2 2 corresponding to a 95% confidence love. Round to two decimal places as needed.) c. Give a brief general description of the number of degrees of freedom O 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 O B. 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 imposed on all data values C. D. all data values. 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.

Explanation / Answer

Answer

(A) degree of freedom = n-1

we have n = 50

so, degree of freedom = 50-1 = 49

(B) For critical value, we can use excel functionTINV(probability, degree of freedom)

where probability = 0.05 and degree of freedom =49

so, we get

t critical = TINV(0.05,49) = 2.01(rounded to two decimals)

(C) we know that degree of freedom is the number of observations which are allowed to move free when calculating sample statistics,

If we look at all the available options, then only option B is matching with our definition of degree of freedom

thus, we can say that option B is correct answer

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