1) A corporation employs 2000 male and 500 female engineers. A stratified random sample of 200 male and 50 female engineers gives each engineer 1 chance in 10 to be chosen. This sample design gives every individual in the population the same chance to be chosen for the sample. Is it an SRS?
**I think it is an SRS b/c they make it random in the corporation among different genders, but I'm not sure....
-------------------------------------------------------------------------
2) Fizz Laboratories, a pharmaceutical company, has developed a new pain-relief medication. Sixty patients suffering from arthritis and needing pain relief are available. Each patient will be treated and asked an hour later, "About what percentage of pain relief did you experience?"
a) Why should Fizz not simply administer the new drug and record the patients responses?
b) Outline the design of an experiment to compare the drug's effectiveness with that of aspirin and of a placebo.
** (a) I said they should not b/c the way people react to the medication is different. Some will relax more and it will take less of an effect of pain relief. They would not be randomizing the sample b/c they are limiting it to 60 patients and they would be giving the same drug so the experiment would not replicated.
(b) I think you should give a random assignment between different groups of medication and divide them up among different types of medication. But I don't know how you would actually "outline" the experiment with a more detailed way...
-------------------
3)Twenty overweight females have agreed to participate in a study of the effectiveness of four weight-loss treatments: A, B, C, and D. The researcher first calculates how overweight each subject is by comparing the subject's actual weight with her "ideal" weight. The subjects and their excess weights in pounds are:
Birnbaum: 35, Brown: 34, Brunk: 30, Cruz: 34, Deng: 24, Hernandez: 25, Jackson: 33, Kendall: 28, Loren: 32, Mann: 28, Moses: 25, Nevesky: 39, Obrach: 30, Rodriguez: 30, Santiago: 27, Smith: 29, Stall: 33, Tran: 35: Wilansky: 42, Williams: 22.
*b/c a subject's excess weight will influence the response of weight loss after 8 weeks of treatment, a block design is appropriate. *
a)Arrange the subjects in order of increasing excess weight. Form 5 blocks of 4 subjects each by groupin gthe 4 least overweight, then the next 4, and so on.
(1) Williams-22, Deng-24, Hernandez-24, and Moses-25; (2) Santiago-27, Kendall-28, Mann-28, and Smith-29; (3) Brunk-30, Obrach-30, Rodriguez-30, and Loren-32; (4) Jackson-33, Stall-33, Brown-34, and Cruz-34; (5) Birnbaum-35, Tran-35, Nevesky-39, and Wilansky-42.
b) Use random digits table to randomly assign the 4 subjects in each block to the 4 weight loss treatments.
** I did part A and I arranged the subjects ... in part B, I understand I just start from a random line in the table but I don't understand HOW to assign the 4 subjects JUST by looking at the random digits. Like say the first digit starts off with 45 in line 133, I don't get how to use those random digits to assign the subjects.
-----------------------------------------------------------------
I did alot of work for these problems but I"m not sure at all about them . Please help me asap with these asap, thank you!!!!
**I think it is an SRS b/c they make it random in the corporation among different genders, but I'm not sure....
-------------------------------------------------------------------------
2) Fizz Laboratories, a pharmaceutical company, has developed a new pain-relief medication. Sixty patients suffering from arthritis and needing pain relief are available. Each patient will be treated and asked an hour later, "About what percentage of pain relief did you experience?"
a) Why should Fizz not simply administer the new drug and record the patients responses?
b) Outline the design of an experiment to compare the drug's effectiveness with that of aspirin and of a placebo.
** (a) I said they should not b/c the way people react to the medication is different. Some will relax more and it will take less of an effect of pain relief. They would not be randomizing the sample b/c they are limiting it to 60 patients and they would be giving the same drug so the experiment would not replicated.
(b) I think you should give a random assignment between different groups of medication and divide them up among different types of medication. But I don't know how you would actually "outline" the experiment with a more detailed way...
-------------------
3)Twenty overweight females have agreed to participate in a study of the effectiveness of four weight-loss treatments: A, B, C, and D. The researcher first calculates how overweight each subject is by comparing the subject's actual weight with her "ideal" weight. The subjects and their excess weights in pounds are:
Birnbaum: 35, Brown: 34, Brunk: 30, Cruz: 34, Deng: 24, Hernandez: 25, Jackson: 33, Kendall: 28, Loren: 32, Mann: 28, Moses: 25, Nevesky: 39, Obrach: 30, Rodriguez: 30, Santiago: 27, Smith: 29, Stall: 33, Tran: 35: Wilansky: 42, Williams: 22.
*b/c a subject's excess weight will influence the response of weight loss after 8 weeks of treatment, a block design is appropriate. *
a)Arrange the subjects in order of increasing excess weight. Form 5 blocks of 4 subjects each by groupin gthe 4 least overweight, then the next 4, and so on.
(1) Williams-22, Deng-24, Hernandez-24, and Moses-25; (2) Santiago-27, Kendall-28, Mann-28, and Smith-29; (3) Brunk-30, Obrach-30, Rodriguez-30, and Loren-32; (4) Jackson-33, Stall-33, Brown-34, and Cruz-34; (5) Birnbaum-35, Tran-35, Nevesky-39, and Wilansky-42.
b) Use random digits table to randomly assign the 4 subjects in each block to the 4 weight loss treatments.
** I did part A and I arranged the subjects ... in part B, I understand I just start from a random line in the table but I don't understand HOW to assign the 4 subjects JUST by looking at the random digits. Like say the first digit starts off with 45 in line 133, I don't get how to use those random digits to assign the subjects.
-----------------------------------------------------------------
I did alot of work for these problems but I"m not sure at all about them . Please help me asap with these asap, thank you!!!!
Last edited: