A random sample of 15 customers in two different banks were selected and their w

Question

A random sample of 15 customers in two different banks were selected and their wait times (in minutes) are given below. Use this data to complete parts (a) through (d).

a. Is there evidence of a difference in the variability of the waiting time between the two banks? (Use 0.05.) Determine the hypotheses. Choose the correct answer below. O A. H.: os O C. H,: os Compute the F test statistic STAT STAT (Round to two decimal places as needed. Determine the critical value. /2 (Round to two decimal places as needed.) Reach a decision. Ho. There is insufficient evidence of a difference in the variability of the waiting time between the two banks. b. Determine the p-value in (a) and interpret its meaning The p-value in part (a) is (Round to three decimal places as needed.) O B. H.: or

Explanation / Answer

(a) Option D

Data:     

n1 = 15    

n2 = 15    

s1^2 = 2.74    

s2^2 = 4.38    

Hypotheses:    

Ho: s1^2 = s2^2    

Ha: s1^2 s2^2    

Decision Rule:    

= 0.05    

Numerator DOF = 15 - 1 = 14

Denominator DOF = 15 - 1 = 14

Lower Critical F- score = 0.3357

Upper Critical F- score = 2.9786

Reject Ho if F < 0.33573 or F > 2.9786

Test Statistic:    

F = s1^2 / s2^2 = 2.74/4.38 = 0.6256

p- value = 0.804619    

F stat = 0.63

Lower Critical F- /2 = 0.3357

Upper Critical F- /2 = 2.9786

Since F value lies between the above values, we fail to reject Ho

There is insufficient evidence to reject Ho

(b) p- value = 0.805

Option A

(c) Option A

Option A

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