For each case below, state what type of statistical test you would use to analyze each dataset. Explain your answer!Hemoglobin is a protein responsible for carrying oxygen throughout your blood stream. Blood hemoglobin levels in humans average at about 14.5g/dL. We are interested in whether a sample of 20 iron deficient individuals have lower blood hemoglobin levels compared to the general population. The average hemoglobin level for our sample is 10.9g/dL, with an estimated population standard deviation of 1.92g/dL.A researcher is looking at whether the time it takes for rats to relearn how to run a maze decreases after they’ve been exposed to the maze more than once. Using 15 rats, he measures how quickly they are able to successfully run a maze at two different times points: once when they are first exposed to the maze, and again after they’ve run the maze three times. A social psychologist is curious about whether social rejection increases aggression in narcissists. He randomly samples 5 narcissists, exposes them to a scenario where they are socially rejected and measures how aggressively they respond. He then samples another 5 narcissists, exposes them to a control scenario and assesses their aggression. A social psychologist is curious about whether social rejection increases aggression in narcissists. He randomly samples 5 narcissists, exposes them to a scenario where they are socially rejected and measures how aggressively they respond. He then samples another 5 narcissists, exposes them to a control scenario and assesses their aggression. A psychiatrist reads that the average age of someone who’s first diagnosed with schizophrenia is 24 years, with a standard deviation of 2 years. The psychiatrist suspects that the schizophrenic patients in her clinic were diagnosed at a younger age than 24. She examines records for a random sample of 50 clinic patients and finds that the age at first diagnosis in the sample is 23.5 years on average. Viveiros investigated the influence of video game playing on arousal. She had participants rate their arousal on a seven-point scale (1 = very low arousal and 7 = very high arousal). Participants rated their arousal at the beginning of the study and then after one hour of video game A prison warden wants to see whether it’s beneficial or harmful to give prisoners access to the Internet. She randomly assigns prisoners in 100 cells to receive such access another 100 cells to be observed as controls. The outcome variable is whether each cell had a report of a behavioral problem during the week following introduction of internet access.A psychologist at a private psychiatric hospital was asked to determine whether there was any clear difference in the length of stay (in terms of weeks) of patients with different categories of diagnosis: 1) affective disorders, 2) cognitive disorders, and 3) drug-related conditions.

Question

For each case below, state what type of statistical test you would use to analyze each dataset. Explain your answer!Hemoglobin is a protein responsible for carrying oxygen throughout your blood stream. Blood hemoglobin levels in humans average at about 14.5g/dL. We are interested in whether a sample of 20 iron deficient individuals have lower blood hemoglobin levels compared to the general population. The average hemoglobin level for our sample is 10.9g/dL, with an estimated population standard deviation of 1.92g/dL.A researcher is looking at whether the time it takes for rats to relearn how to run a maze decreases after they’ve been exposed to the maze more than once. Using 15 rats, he measures how quickly they are able to successfully run a maze at two different times points: once when they are first exposed to the maze, and again after they’ve run the maze three times. A social psychologist is curious about whether social rejection increases aggression in narcissists. He randomly samples 5 narcissists, exposes them to a scenario where they are socially rejected and measures how aggressively they respond. He then samples another 5 narcissists, exposes them to a control scenario and assesses their aggression. A social psychologist is curious about whether social rejection increases aggression in narcissists. He randomly samples 5 narcissists, exposes them to a scenario where they are socially rejected and measures how aggressively they respond. He then samples another 5 narcissists, exposes them to a control scenario and assesses their aggression. A psychiatrist reads that the average age of someone who’s first diagnosed with schizophrenia is 24 years, with a standard deviation of 2 years. The psychiatrist suspects that the schizophrenic patients in her clinic were diagnosed at a younger age than 24. She examines records for a random sample of 50 clinic patients and finds that the age at first diagnosis in the sample is 23.5 years on average. Viveiros investigated the influence of video game playing on arousal. She had participants rate their arousal on a seven-point scale (1 = very low arousal and 7 = very high arousal). Participants rated their arousal at the beginning of the study and then after one hour of video game A prison warden wants to see whether it’s beneficial or harmful to give prisoners access to the Internet. She randomly assigns prisoners in 100 cells to receive such access another 100 cells to be observed as controls. The outcome variable is whether each cell had a report of a behavioral problem during the week following introduction of internet access.A psychologist at a private psychiatric hospital was asked to determine whether there was any clear difference in the length of stay (in terms of weeks) of patients with different categories of diagnosis: 1) affective disorders, 2) cognitive disorders, and 3) drug-related conditions.

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