A customer service representative was interested in comparing the average time (in minutes) customers are placed on hold when calling Southern California Edison and Southern California Gas companies. The representative obtained two independent random samples and calculated the following summary information: So Cal Edison     Southern Cal Edison Southern Cal Gas Sample Size 9 12 Sample Mean 3.2 min 2.8 min Sample Standard deviation 0.5 min 0.7 min     Assume the distributions of time a customer is on hold are approximately normal. Using the null and alternate hypothesis: H0:mu1-mu2=0 vs. Ha:mu1-mu2 not equal 0 The test statistic was computed to be -1.455 Assuming alpha = 0.10, set up the appropriate rejection region for the hypothesis test.   A. Reject H0 if |t| > t(alpha =0.05, df=19)   B. Reject H0 if |t| > t(alpha =0.05, df=20)   C. Reject H0 if |t| > t(alpha =0.1, df=20)   D. Reject H0 if |t| > t(alpha =0.1, df=19)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A customer service representative was interested in comparing the average time (in minutes) customers are placed on hold when calling Southern California Edison and Southern California Gas companies. The representative obtained two independent random samples and calculated the following summary information: So Cal Edison

 

 

Southern Cal Edison

Southern Cal Gas

Sample Size

9

12

Sample Mean

3.2 min

2.8 min

Sample Standard deviation

0.5 min

0.7 min

 

 

Assume the distributions of time a customer is on hold are approximately normal.

Using the null and alternate hypothesis:

H0:mu1-mu2=0 vs. Ha:mu1-mu2 not equal 0

The test statistic was computed to be -1.455

Assuming alpha = 0.10, set up the appropriate rejection region for the hypothesis test.

  A.

Reject H0 if |t| > t(alpha =0.05, df=19)

  B.

Reject H0 if |t| > t(alpha =0.05, df=20)

  C.

Reject H0 if |t| > t(alpha =0.1, df=20)

  D.

Reject H0 if |t| > t(alpha =0.1, df=19)

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