A local bank claims that the waiting time for its customers to be served is the lowest in the area. A competitor bank checks the waiting times at both banks. The sample statistics are listed below. Test the local bank’s claim. Use the information given below. Use a significance level of .05 and assume the variances are equal.   Sample statistics for a local bank and a competitor's bank Sample size Local Bank n1=46 Competitor Bank n2=50 Average waiting time in minutes for each sample X¯¯¯1=2.3 mins. X2__ =2.6 Sample Standard Deviation of each Sample s1= 1.1 mins s2=1.0 mins. Are the samples dependent or independent? State your Null/Alternative hypotheses What is the test-statistic?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A local bank claims that the waiting time for its customers to be served is the lowest in the area. A competitor bank checks the waiting times at both banks. The sample statistics are listed below. Test the local bank’s claim. Use the information given below. Use a significance level of .05 and assume the variances are equal.

 

Sample statistics for a local bank and a competitor's bank

Sample size

Local Bank

n1=46

Competitor Bank

n2=50

Average waiting time in minutes for each sample X¯¯¯1=2.3 mins. X2__ =2.6
Sample Standard Deviation of each Sample s1= 1.1 mins s2=1.0 mins.
  1. Are the samples dependent or independent?
  2. State your Null/Alternative hypotheses
  3. What is the test-statistic?
  4. What is the p-value?
  5. What are the critical values?
  6. Does the test-statistic lie in the rejection region?
  7. Interpret the Result?
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