Suppose a new Director of Health Services for a district claims that she will reduce the average speed of emergency response to less than 30 minutes, which is thought to be the average response time with the current Director. There are no past records; so the actual standard deviation of such response times cannot be determined. Thanks to this promise, careful records are now kept. The response times for the first month are 26, 30, 28, 29, 25, 28, 32, 35, 24, and 23 minutes. Using the .05 level of significance, did she keep her promise? Explain your answer. Do not show full working steps.

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Asked Nov 19, 2019
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Suppose a new Director of Health Services for a district claims that she will reduce the average speed of emergency response to less than 30 minutes, which is thought to be the average response time with the current Director. There are no past records; so the actual standard deviation of such response times cannot be determined. Thanks to this promise, careful records are now kept. The response times for the first month are 26, 30, 28, 29, 25, 28, 32, 35, 24, and 23 minutes. Using the .05 level of significance, did she keep her promise? Explain your answer. Do not show full working steps.

 

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Expert Answer

Step 1

The one sample t-test is performed in MINITAB for the given data.

Step-by-step procedure to perform one sample t-test using MINITAB is given below:

  • Go to Stat > Basic statistics > 1 sample t.
  • Select the entered variable Speed.
  • Click on Perform hypothesis test.
  • Enter Hypothesized mean as 30.
  • Go to options and enter confidence level as 0.
  • I...
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One-Sample T: Speed Descriptive Statistics 95% Upper Bound for u N Mean StDev SE Mean 10 28.00 3.71 1.17 30.15 mean of Speed Test Ho: u30 Null hypothesis Alternative hypothesis H: 30 T-Value P-Value -1.70 0.061

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Hypothesis Testing

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