If 25% of students are expected to take a summer course, how many students must the department survey to be 95% certain that the margin of error no greater than 5?Question 6Answera.38.4b.138.3c.288.1d.345.7Clear my choiceQuestion 7Not yet answeredMarked out of 1.00Flag questionTipsQuestion textWhich method of data measurement has meaningful distances between measurements defined, but an arbitrary zero value?Question 7Answera.nominalb.ratioc.intervald.ordinalClear my choiceQuestion 8Not yet answeredMarked out of 1.00Flag questionTipsQuestion textWhich of the following is NOT a reason that an observational study would be performed?Question 8Answera.A subject is able to be randomly assigned to a treated group or a control group.b.A randomized experiment may be impractical.c.A randomized experiment would violate ethical standards.d.The investigator may lack the requisite influence.Clear my choiceQuestion 9Not yet answeredMarked out of 1.00Flag questionTipsQuestion textWhen comparing the means of two independent samples in a t-test, what should be considered?Question 9Answera.The data should be sampled independently from the two populations being comparedb.Each of the two populations being compared should follow a normal distributionc.The two populations being compared should have the same varianced.All of these answersClear my choiceQuestion 10Not yet answeredMarked out of 1.00Flag questionTipsQuestion textGiven the ages of college students (18, 19, 19, 19, 20, 22, 24), what is the mean of the class's ages?Question 10Answera.19.5b.20.6c.20.1d.19
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If 25% of students are expected to take a summer course, how many students must the department survey to be 95% certain that the margin of error no greater than 5?Question 6Answera.38.4b.138.3c.288.1d.345.7Clear my choiceQuestion 7Not yet answeredMarked out of 1.00Flag questionTipsQuestion textWhich method of data measurement has meaningful distances between measurements defined, but an arbitrary zero value?Question 7Answera.nominalb.ratioc.intervald.ordinalClear my choiceQuestion 8Not yet answeredMarked out of 1.00Flag questionTipsQuestion textWhich of the following is NOT a reason that an observational study would be performed?Question 8Answera.A subject is able to be randomly assigned to a treated group or a control group.b.A randomized experiment may be impractical.c.A randomized experiment would violate ethical standards.d.The investigator may lack the requisite influence.Clear my choiceQuestion 9Not yet answeredMarked out of 1.00Flag questionTipsQuestion textWhen comparing the means of two independent samples in a t-test, what should be considered?Question 9Answera.The data should be sampled independently from the two populations being comparedb.Each of the two populations being compared should follow a normal distributionc.The two populations being compared should have the same varianced.All of these answersClear my choiceQuestion 10Not yet answeredMarked out of 1.00Flag questionTipsQuestion textGiven the ages of college students (18, 19, 19, 19, 20, 22, 24), what is the mean of the class's ages?Question 10Answera.19.5b.20.6c.20.1d.19
Solution
Question 6: To calculate the sample size needed, we can use the formula for the sample size of a proportion, which is n = (Z^2 * P * (1-P)) / E^2. Here, Z is the z-score (which is 1.96 for a 95% confidence level), P is the proportion (which is 0.25), and E is the margin of error (which is 0.05). Plugging these values into the formula gives us n = (1.96^2 * 0.25 * (1-0.25)) / 0.05^2 = 288. Therefore, the department must survey approximately 288 students to be 95% certain that the margin of error is no greater than 5%. So, the answer is c.288.1.
Question 7: The method of data measurement that has meaningful distances between measurements defined, but an arbitrary zero value is the interval scale. So, the answer is c.interval.
Question 8: The statement "A subject is able to be randomly assigned to a treated group or a control group" is NOT a reason that an observational study would be performed. This is because in an observational study, subjects are not assigned to groups but are observed in their natural settings. So, the answer is a.A subject is able to be randomly assigned to a treated group or a control group.
Question 9: When comparing the means of two independent samples in a t-test, all of the given options should be considered. So, the answer is d.All of these answers.
Question 10: To calculate the mean of the class's ages, add up all the ages and divide by the number of students. The sum of the ages is 141 and there are 7 students, so the mean age is 141 / 7 = 20.1. So, the answer is c.20.1.
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