Question

In: Statistics and Probability

A study of 50 randomly selected students from a particular college who did not go to...

A study of 50 randomly selected students from a particular college who did not go to the campus Learning Center for statistics tutoring had a mean overall grade (at the end of the semester) of 68.41% with a standard deviation of 9.60%. The same study also found that 48 randomly selected students who did take advantage of the tutoring at the campus Learning Center had a mean overall grade of 79.25% with a standard deviation of 8.71%. The standard deviation for both populations (students who did not use the Learning Center’s tutoring, and those students who did use it) is assumed to be equal. Construct a 99% confidence interval for the difference of the mean overall grade of students who did not use the Learning Center minus the mean overall grade of students who did use it.

a. (-15.70%, -5.997%)

b. (-15.71%, -5.968%)

c. (-15.23%, -6.454%)

d. (-15.61%, -6.071%)

Solutions

Expert Solution


Related Solutions

A particular college has a 30% graduation rate. If 212 students are randomly selected, answer the...
A particular college has a 30% graduation rate. If 212 students are randomly selected, answer the following. a) Which is the correct wording for the random variable? Select an answer b) Pick the correct symbol: ? = 212 c) Pick the correct symbol: ? = 0.3 d) What is the probability that exactly 65 of them graduate with a degree? Round final answer to 4 decimal places. e) What is the probability that less than 65 of them graduate with...
A survey of 36 randomly selected students who dropped a course was conducted at a college....
A survey of 36 randomly selected students who dropped a course was conducted at a college. The following results were collected. Complete parts​ (a) through​ (c). a) Construct a contingency table for the two variables. CourseCourse PersonalPersonal WorkWork Male FemaleFemale ​(b) Test whether gender is independent of drop reason at the alphaαequals=0.1 level of significance. What are the​ hypotheses? A. Upper H 0H0​: pSubscript Upper CCequals=pSubscript Upper PPequals=pSubscript Upper WW Upper H 1H1​: At least one of the proportions is...
In a time-use study, 20 randomly selected college students were found to spend a mean of...
In a time-use study, 20 randomly selected college students were found to spend a mean of 1.4 hours on the internet each day. The standard deviation of the 20 scores was 1.3 hours. Construct a 90% confidence interval for the mean time spent on the internet by college students. Assume t* = 1.729 If you increased the sample size for the problem above, what would happen to your confidence interval, assuming the sample mean and standard deviation remain unchanged?
A randomly selected sample of 14 students who stayed up all night to study for an...
A randomly selected sample of 14 students who stayed up all night to study for an exam received an average grade of 68% with a standard deviation of 8%. Another randomly selected sample of 12 students who wrote the same exam after a good night’s sleep received an average grade of 75% with a standard deviation of 7%. At a 5% significance level, does the sample provide enough statistical evidence to support a claim that students who stay awake all...
Thirty GPAs from a randomly selected sample of statistics students at a college reported a mean...
Thirty GPAs from a randomly selected sample of statistics students at a college reported a mean of 3.11 and the standard deviation was 0.36. Assume that the population distribution is approximately Normal. The technician in charge of records claimed that the population mean GPA for the whole college is 2.88. The chair of the mathematics department claims that students typically have higher GPAs than the typical college student. Test this claim. State the null and alternative hypotheses Find the test...
A 2014 study examined how college students feel about solitude. The reserachers gave the randomly selected...
A 2014 study examined how college students feel about solitude. The reserachers gave the randomly selected volunteers in the study a choice between sitting in solitude for 15 minutes or volunatrily giving themselves an electrical shock. Of the 18 men in the study, 12 gave themselves an electrical shock, while 6 of the 24 women in study gave themselves an elecrical shock. Bower, B., "People will take pain over being left alone with their thoughts, " Science News, 186(3), August...
The following data were collected from a survey of 10 randomly selected college students: Find the...
The following data were collected from a survey of 10 randomly selected college students: Find the mean, median, mode, variance, standard deviation, the five number summary report of the hours per week of the sample of students’ studied. Show your work. Student ID Facebook # hours of study per week 244701130 Yes 8 302896051 no 5 734077249 yes 11 891072704 yes 5 730265917 yes 9 894866913 no 6 644678646 no 1 369417477 yes 1 388511718 yes 2 554470987 no 1
2.Thirty GPAs from a randomly selected sample of statistics students at a college are linked below....
2.Thirty GPAs from a randomly selected sample of statistics students at a college are linked below. Assume that the population distribution is approximately Normal. The technician in charge of records claimed that the population mean GPA for the whole college is 2.81. a. What is the sample​ mean? Is it higher or lower than the population mean of 2.81​? b. The chair of the mathematics department claims that statistics students typically have higher GPAs than the typical college student. Use...
Suppose 250 randomly selected students in a college are surveyed to determine if they own a...
Suppose 250 randomly selected students in a college are surveyed to determine if they own a tablet. Of the 250 surveyed, 98 reported owning a tablet. a. explain whether normal model can be used in this situation b. find the standard error. c. Construct the 95% confidence interval and explain what it means in the context of the problem d. based on the college database, the proportion of students that owns a tablet in this college is 36% What is...
At a local college, 65 female students were randomly selected and it was found that their...
At a local college, 65 female students were randomly selected and it was found that their mean monthly income was $609. Seventy-five male students were also randomly selected and their mean monthly income was found to be $651. Test the claim that male students have a higher monthly income than female students. Assume the population standard deviation for the females is $121.50 and for the males $131. Use α = 0.01
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT