Question

 A random sample of 21 waiting times (in minutes) before patients saw a medical professional in a hospital’s

minor emergency department had a variance of 1.96 minutes. After a new admissions procedure was implemented, a random sample of 27 waiting times had a variance of 0.64 minute.
At α=0.01 can you support the hospital’s claim that the standard deviation of the waiting times has decreased?

Identify the claim and state H0 and Ha. Let σ^2/1 represent the initial variance and σ^2/2
represent the variance for the new process.

Determine the critical value and the rejection region. What is the critical F-value?

What is the rejection region for this F-test?

Calculate the test statistic

Decide whether to reject or fail to reject the null hypothesis.

Interpret the decision in the context of the claim. Can you support the hospital’s claim?

 

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Question

You work for an insurance company and are studying the relationship between types of crashes and the

vehicles involved. As part of your study, you randomly select 3495 vehicle crashes and organize the resulting data as shown in the contingency table. At 

α=0.01,can you conclude that the type of crash depends on the type of vehicle?

Identify the claim and state the null and alternative hypotheses.

Determine the degrees of freedom, find the critical value, and identify the rejection region.

Calculate the test statistic.

Decide to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim. How does this conclusion relate to the original claim?

Type of crash          Car  Pickup     Sport utility

 Single-vehicle        870    355         277

 Multiple-vehicle  1101   478       414

 

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