Question

In: Statistics and Probability

A researcher was interested in comparing the GPAs of students at two different colleges. Independent simple...

A researcher was interested in comparing the GPAs of students at two different colleges. Independent simple random samples of 8 students from college A and 13 students from college B yielded the following GPAs.

College A: 3.7, 3.2, 3.0, 2.5, 3.4, 2.8, 3.6, 2.7

College B: 3.8, 3.2, 3.0, 3.9, 3.8, 2.5, 2.8, 4.0, 3.6, 2.6, 4.0, 3.6, 3.9

Find a 95% confidence interval for the difference, μ1 - μ2, between the mean GPA of college A students and the mean GPA of college B students. Also, find the margin of error. What is the parameter of interest? What is the underlying distribution?

Solutions

Expert Solution


Related Solutions

A. A researcher was interested in comparing the GPAs of students at two different colleges. Independent...
A. A researcher was interested in comparing the GPAs of students at two different colleges. Independent simple random samples of 8 students from college A and 13 students from college B yielded the following results. The mean GPA for college A was x1 = 3.11, with a standard deviation s1 = 0.44. The GPA for college B was 2 = 3.44, with a standard deviation s2 = 0.55. Determine a 95% confidence interval for the difference, µ1-µ2 between the mean...
1 A researcher was interested in comparing the response times of two different cab companies. Companies...
1 A researcher was interested in comparing the response times of two different cab companies. Companies A and B were each called at n = 20 randomly selected times. The calls to company A were made independently of the calls to company B. The response times were recorded and the summary statistics were as follows: Company A Company B Mean response time 12.3 mins 15.0 mins Standard deviation 1.5 mins 1.7 mins Find the margin of error, E, for a...
A researcher is interested in comparing the effectiveness of two reading programs to see if there...
A researcher is interested in comparing the effectiveness of two reading programs to see if there is a difference in the average amount of student reading score improvements reported in either program. The following data is collected from students in each program after four months of participation. Using the below data, conduct the appropriate two-sided hypothesis test to answer the researchers' question. Experimental Comparison 35 2 40 27 12 38 15 31 21 1 14 19 46 1 10 34...
Two-Sample Z-test Q1. A researcher is interested in comparing the happiness scores of married and single...
Two-Sample Z-test Q1. A researcher is interested in comparing the happiness scores of married and single men. The data is below: Married Men: average happiness rating = 8.7; standard deviation = 1.4; n =100 Single Men: average happiness rating = 7.9; standard deviation = 1.2; n =80 Test whether the difference between the means of the two groups is significant at an alpha (significance level) of .10. (a) What are the null and alternate hypotheses? (b) Draw the picture of...
3) Suppose we are interested in comparing the effectiveness of two different antibiotics, A and B,...
3) Suppose we are interested in comparing the effectiveness of two different antibiotics, A and B, in treating gonorrhea. Each person receiving antibiotic A is matched with an equivalent person (age within 5 years, same sex), to whom antibiotic B is given. These people are asked to return to the clinic within 1 week to see if the gonorrhea has been eliminated. Suppose the results are as follows:             1) For 40 pairs of people, both antibiotics are successful.            ...
A researcher is interested in heart rates of university students. The researcher randomly selects 52 students...
A researcher is interested in heart rates of university students. The researcher randomly selects 52 students from a class they are teaching and measures the students’ heart rates. The data obtained is in the file “Heart Rates.csv”. 1. What is the target population? What is the study population? What is an individual? 2. Is this an observational study or an experiment? 3. The tools you have learned for doing statistical inference require that certain assumptions be met. Check whether these...
A researcher is interested in determining if the more than two thirds of students would support...
A researcher is interested in determining if the more than two thirds of students would support making the Tuesday before Thanksgiving a holiday. The researcher asks 1,000 random selected students if they would support making the Tuesday before Thanksgiving a holiday. Seven hundred students said that they would support the extra holiday. Define the parameter. a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday. b. phat = the sample...
Becoming more interested in what students do with their free time, a researcher collects several different...
Becoming more interested in what students do with their free time, a researcher collects several different samples of students and also notes the gender of the student. The results are below. Test to see whether or not activity is independent of gender at an alpha level of .01. Movie Party Dancing Dinner Tv Reading Other Males 65 82 81 24 30 41 27 Females 12 55 30 12 30 48 33
SPSS NEEDED Person is interested in comparing the success of two different mnemonics (memorization methods) on...
SPSS NEEDED Person is interested in comparing the success of two different mnemonics (memorization methods) on performance in a memory task. He assigns students to two groups, one which learns and uses a language-based rhyming memory technique, and one which learns and uses a visual “method of loci” spatial memory technique. He then administers a memory task to each group of students. The students are scored based on the percentage of correct answers. Using this table, enter the data into...
Q3. A researcher is interested in comparing the foreclosure rates on mortgages issued to men and...
Q3. A researcher is interested in comparing the foreclosure rates on mortgages issued to men and women. The data is below: Men: Out of 500 mortgages issued to men, 65 resulted in a foreclosure. Women: Out of 200 mortgages issued to women, 18 resulted in a foreclosure. Test whether the difference between the proportions of the two groups is significant at an alpha (significance level) of .05. (a) What are the null and alternate hypotheses? (b) Draw the picture of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT