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A pharmaceutical company has developed a new drug called Antisubcillin to treat substance use disorder. They have just completed an experiment assessing the safety of the drug. To test safety, 100 rats were given 20 mg of Antisubcillin and 100 rats were given a placebo. The study was conducted as a double-blind controlled study and so the researchers did not know which rats were receiving the drug and which were receiving the placebo. The number of negative side effects displayed by each rat over the course of 8 weeks was recorded. Which statistical test should be used to analyze these data? Oz test one-sample t test

A pharmaceutical company has developed a new drug called Antisubcillin to treat substance use disorder. They have just completed an experiment assessing the safety of the drug. To test safety, 100 rats were given 20 mg of Antisubcillin and 100 rats were given a placebo. The study was conducted as a double-blind controlled study and so the researchers did not know which rats were receiving the drug and which were receiving the placebo. The number of negative side effects displayed by each rat over the course of 8 weeks was recorded. Which statistical test should be used to analyze these data? Oz test one-sample t test

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Title: Evaluating the Safety of a New Drug: Antisubcillin** **Introduction:** A pharmaceutical company has developed a new drug called Antisubcillin, aimed at treating substance use disorder. To ensure the drug's safety, an experiment was conducted on rats. Specifically, 200 rats were divided into two groups: one group received Antisubcillin, whereas the other received a placebo. **Study Design:** - **Subjects:** 200 rats - **Group 1:** 100 rats received 20 mg of Antisubcillin - **Group 2:** 100 rats received a placebo - **Method:** Double-blind controlled study - the researchers did not know which rats were receiving the drug and which were receiving the placebo. - **Data Collected:** The number of negative side effects displayed by each rat over the course of 8 weeks was recorded. **Question:** Which statistical test should be used to analyze these data? **Options:** - z test - one-sample t test - independent samples t test - dependent samples t test **Explanation of Statistical Tests:** 1. **z test:** Typically used for comparing means when the population variance is known and the sample size is large. 2. **one-sample t test:** Used to determine whether the mean of a single sample differs significantly from a known or hypothesized population mean. 3. **independent samples t test:** Used to compare the means of two independent groups to determine if there is statistical evidence that the associated population means are significantly different. Appropriate when the data comes from two different groups. 4. **dependent samples t test:** Used for comparing two related groups, where the measurements are paired or matched in some meaningful way. Given the nature of the study—comparing two independent groups (rats receiving Antisubcillin vs rats receiving the placebo)—the appropriate statistical test to analyze these data is the **independent samples t test**.
Transcribed Image Text:**Title: Evaluating the Safety of a New Drug: Antisubcillin** **Introduction:** A pharmaceutical company has developed a new drug called Antisubcillin, aimed at treating substance use disorder. To ensure the drug's safety, an experiment was conducted on rats. Specifically, 200 rats were divided into two groups: one group received Antisubcillin, whereas the other received a placebo. **Study Design:** - **Subjects:** 200 rats - **Group 1:** 100 rats received 20 mg of Antisubcillin - **Group 2:** 100 rats received a placebo - **Method:** Double-blind controlled study - the researchers did not know which rats were receiving the drug and which were receiving the placebo. - **Data Collected:** The number of negative side effects displayed by each rat over the course of 8 weeks was recorded. **Question:** Which statistical test should be used to analyze these data? **Options:** - z test - one-sample t test - independent samples t test - dependent samples t test **Explanation of Statistical Tests:** 1. **z test:** Typically used for comparing means when the population variance is known and the sample size is large. 2. **one-sample t test:** Used to determine whether the mean of a single sample differs significantly from a known or hypothesized population mean. 3. **independent samples t test:** Used to compare the means of two independent groups to determine if there is statistical evidence that the associated population means are significantly different. Appropriate when the data comes from two different groups. 4. **dependent samples t test:** Used for comparing two related groups, where the measurements are paired or matched in some meaningful way. Given the nature of the study—comparing two independent groups (rats receiving Antisubcillin vs rats receiving the placebo)—the appropriate statistical test to analyze these data is the **independent samples t test**.
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