Problemas

5. The student council of your high school wants to conduct a surve)regarding theomsample of the stude dances. You have advised them that it might be best to conduct a body. Which of the following is not a valid stratified design? (A)Two random samples are to be conducted: one for boys in the student body, the other for girls. (B) Four random samples are to be conductod: one in each of the four classes. (C) Two random samples are to be conducted in randomly selected homerooms; one of the boys in the selected homerooms and the other of the girls in the selected homerooms. (D)Two random samples are conducted: one of the students whose GPA's are 2.5 or higher and the other of students whose GPA 's are less than 25 (E) All are valid stratified samples. 6. A high school statistics class wants to conduct a survey to determine what percentage of students in the school would be willing to pay a fee for participating in after school activities. Twenty students are randomly selected from each of the freshman, sophomore.junior, and senior classes to complete the survey. This plan is an example of which type of sampling? (A) cluster (B) convenience (C) simple random (D) stratified random (E)systematic 7. Placebos are a tool for (B) blocking (C) blinding (D) control (E) randomization (A) sampling 8. A chemistry professor who teaches a large lecture class surveys his students who attend his class about how he can make the class more interesting hoping he can get more students to attend.This survey method suffers from (E) none (A) voluntary response (B) nonresponse (C) response bias (D) undercoverage 9. Which of the following is a true statement: (A) We do not need to randomize if our sample size is sufficiently large. (B) A large sample size always ensures that our sample is representative of the population. (C) If all other things are equal, we need a larger sample size for a larger population. (D)In a properly chosen sample, any results will be less variable with a large sample size. (E) In random samples.the randomization ensures that we get accurate results every time. 10. To check the effect of cold temperature on the elasticity of two brands of rubber bands, one box of Brand A and one box of Brand B rubber bands are tested. Ten bands from the Brand A box are placed in a freezer for two hours and ten bands from the Brand B box are kept at room temperature. The amount of stretch before the breakage is measured on each rubber band, and the mean for the cold bands is compared to the mean for the others. Is this a good experimental design? (A)No.because the means are not proper statistics for comparison. (B) No, because more than two brands should be used. (C) No, because more temperatures should be used. (D)No, because temperature is confounded with brand. (E) Yes
Solución
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5. (D)<br />6. (D)<br />7. (D)<br />8. (A)<br />9. (D)<br />10. (D)
Explicar
## Step1<br />For question 5, we need to identify which of the given options does not represent a valid stratified design. A stratified design involves dividing the population into subgroups (strata) and then taking a random sample from each stratum.<br /><br />## Step2<br />For question 6, we need to identify the type of sampling method used in the given scenario. The students are randomly selected from each of the four classes, which is a characteristic of stratified random sampling.<br /><br />## Step3<br />For question 7, we need to identify the role of placebos in an experiment. Placebos are used to control for the placebo effect, which is a psychological phenomenon where participants experience improvements in their condition simply because they believe they are receiving treatment.<br /><br />## Step4<br />For question 8, we need to identify the bias in the survey method used by the chemistry professor. The professor is only surveying students who attend his class, which introduces voluntary response bias because the students who choose to attend his class may not be representative of the entire student population.<br /><br />## Step5<br />For question 9, we need to identify the true statement among the given options. The statement that in a properly chosen sample, any results will be less variable with a large sample size is true. This is because as the sample size increases, the variability of the sample mean decreases, leading to more precise estimates.<br /><br />## Step6<br />For question 10, we need to evaluate the experimental design. The design is flawed because the temperature is not controlled for both brands of rubber bands. This means that any differences in the elasticity could be due to the temperature rather than the brand of the rubber band.
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