Your friend has two different bags that they like to travel with: a duffel bag and a rolling suitcase. They will choose one of these bags for this trip. From previous trips, they know that they pack an average of 25 pounds in the rolling suitcase. They decide to practice packing the duffel bag 15 times with different combinations of clothing options for the trip and weigh each of the duffel bags after they have completed the practice packing. They want to know if they typically pack less (in pounds) in the duffel bag based on this sample than they would if they packed the rolling suitcase. A. Determine and select if the appropriate method to address the problem would be to make a confidence interval (CI) or to conduct a test of hypotheses (HT). B. Select the appropriate notation for the corresponding parameter (p or μ).
Your friend has two different bags that they like to travel with: a duffel bag and a rolling suitcase. They will choose one of these bags for this trip. From previous trips, they know that they pack an average of 25 pounds in the rolling suitcase. They decide to practice packing the duffel bag 15 times with different combinations of clothing options for the trip and weigh each of the duffel bags after they have completed the practice packing. They want to know if they typically pack less (in pounds) in the duffel bag based on this sample than they would if they packed the rolling suitcase.
A. Determine and select if the appropriate method to address the problem would be to make a confidence interval (CI) or to conduct a test of hypotheses (HT).
B. Select the appropriate notation for the corresponding parameter (p or μ).
In case of single population parameter comparison with a specific value, known population standard deviation and large enough sample size, a single sample z-test is conducted.
In case of single population parameter comparison with a specific value, unknown population standard deviation or small sample size, a single sample t-test is conducted.
In case of two independent population parameters comparison, independent samples t-test is conducted.
In case of paired data from a single population or from two identical populations, related samples t-test or paired samples t-test is conducted.
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