Grand Strand Family Medical Center treats minor medical emergencies for visitors to the Myrtle Beach area. There are two facilities, one in the Little River Area and the other in Murrells Inlet. The Quality Assurance Department wishes to compare the mean waiting time for patients at the two locations. Samples of the waiting times for each location, reported in minutes, follow:   Location Waiting Time Little River 31.73 28.77 29.53 22.08 29.47 18.60 32.94 25.18 29.82 26.49     Murrells Inlet 22.93 23.92 26.92 27.20 26.44 25.62 30.61 29.44 23.09 23.10 26.69 22.31     Assume the population standard deviations are not the same. At the 0.05 significance level, is there a difference in the mean waiting time?      Click here for the Excel Data File   Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.)     State the decision rule for 0.05 significance level: H0: μLitttle River = μMurrells Inlet; H1: μLitttle River ≠ μMurrells Inlet. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places for both answers)     Compute the value of the test statistic. (Round your answer to 2 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Grand Strand Family Medical Center treats minor medical emergencies for visitors to the Myrtle Beach area. There are two facilities, one in the Little River Area and the other in Murrells Inlet. The Quality Assurance Department wishes to compare the mean waiting time for patients at the two locations. Samples of the waiting times for each location, reported in minutes, follow:

 

Location Waiting Time
Little River 31.73 28.77 29.53 22.08 29.47 18.60 32.94 25.18 29.82 26.49    
Murrells Inlet 22.93 23.92 26.92 27.20 26.44 25.62 30.61 29.44 23.09 23.10 26.69 22.31
 

 

Assume the population standard deviations are not the same. At the 0.05 significance level, is there a difference in the mean waiting time?

 

 

 Click here for the Excel Data File

 

  1. Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.)

 

 
  1. State the decision rule for 0.05 significance level: H0: μLitttle River = μMurrells Inlet; H1: μLitttle RiverμMurrells Inlet. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places for both answers)

 

 
  1. Compute the value of the test statistic. (Round your answer to 2 decimal places.)

 

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