Question

In: Statistics and Probability

(20) 2.A school boasts of its tutoring program offered to students. Two samples of 71 students...

(20) 2.A school boasts of its tutoring program offered to students. Two samples of 71 students each are taken. The first sample consists of students who have not taken part in the tutoring program while the second sample consists of students who have taken part in the tutoring program. An aptitude test was given to both samples. The first sample showed a mean score of 150 with a standard deviation of 20 while the second sample showed a mean score of 158 with a standard deviation of 23. Using a significance level of 1%, can you conclude that the two samples are different?

Solutions

Expert Solution


Related Solutions

A school boasts of its tutoring program offered to students. Two samples of 71 students each are taken.
A school boasts of its tutoring program offered to students.  Two samples of 71 students each are taken.  The first sample consists of students who have not taken part in the tutoring program while the second sample consists of students who have taken part in the tutoring program.  An aptitude test was given to both samples.  The first sample showed a mean score of 150 with a standard deviation of 20 while the second sample showed a mean score of 158 with a standard...
A school district developed an after-school math tutoring program for high school students. To assess the...
A school district developed an after-school math tutoring program for high school students. To assess the effectiveness of the program, struggling students were randomly selected into treatment and control groups. A pre-test was given to both groups before the start of the program. A post-test assessing the same skills was given after the end of the program. The study team determined the effectiveness of the program by comparing the average change in pre- and post-test scores between the two groups....
At the local high school, there are 297 students. 71 students are seniors, and out of...
At the local high school, there are 297 students. 71 students are seniors, and out of the 71 students, 53 participate in a sport (while 18 do not participate in a sport). Among those who are not seniors, 69 students participate in a sport and 157 do not. Suppose we choose one student at random from the entire class. A. Are events "drawing someone who is a senior" and "drawing someone who does not play a sport" mutually exclusive? Why/why...
Alice is operating a small nonprofit that provides subsidized tutoring services to high school students in...
Alice is operating a small nonprofit that provides subsidized tutoring services to high school students in underserved areas. Approximately 60% of the direct costs of tutoring are billed to schools attended by the clients, while approximately 20% are billed directly to the students. The remainder comes from general operating funds provided by foundations and individual donations. Assume that Alice knows the following: Of the funds billed directly to schools, two-thirds are paid in the month following the delivery of service,...
A nonprofit company concerned with the school dropout rates has designed a tutoring program aimed at...
A nonprofit company concerned with the school dropout rates has designed a tutoring program aimed at students between 16 to 18 years old. A national center for educational statistics reported that the high school dropout rate for the year 2000 was 10.9​%. One school​ district, who adopted the use of the​ nonprofit's tutoring program and whose dropout rate has always been very close to the national​ average, reported in 2004 that 183 of their 1772 students dropped out. Is their...
The Studious Frog provides study support and tutoring services for high school students during their finals....
The Studious Frog provides study support and tutoring services for high school students during their finals. All services require cash payment in advance. Studious Frog provides an Finals Prep course for $480, as well as a Post- Finals Review course for $120. The finals prep course takes place before the students have their final tests, and the finals review course takes place after finals are complete. During December 2022, The Studious Frog offered a promotional package where students could purchase...
Q1 You operate a small nonprofit that provides subsidized tutoring services to high school students in...
Q1 You operate a small nonprofit that provides subsidized tutoring services to high school students in underserved areas. Approximately 60% of the direct costs of tutoring are billed to schools attended by your clients, while approximately 20% are billed directly to the students. The remainder comes from general operating funds provided by foundations and individual donations. Assume that you know the following: Of the funds billed directly to schools, two thirds are paid in the month following delivery of service,...
In a university 20% students belong to the school of business (B), 15% to the school...
In a university 20% students belong to the school of business (B), 15% to the school of engineering(E) and 30% belong to the school of social sciences(S). Of the school of business students 35% have taken a statistics course, of the school of engineering students 45% have taken a statistics course, and of the school of social sciences students, 20% have taken a statistics course. Between the three schools, what fraction of students have taken a statistics course (Q)? If...
Ch. 11, 2. Given two dependent random samples with the following results: Population 1 71 68...
Ch. 11, 2. Given two dependent random samples with the following results: Population 1 71 68 50 84 76 76 80 79 Population 2 76 63 54 80 79 82 75 82 Can it be concluded, from this data, that there is a significant difference between the two population means? Let d= (Population 1 entry)−(Population 2 entry)d=(Population 1 entry)−(Population 2 entry). Use a significance level of α=0.2 for the test. Assume that both populations are normally distributed. Step 1 of...
In a large school, there are 60% students are athletes, 30% students in an honor program....
In a large school, there are 60% students are athletes, 30% students in an honor program. 25% athlete students are in the honor program. Let A = a randomly selected student is an athlete B = a randomly selected student is in the honor program Write the symbols of the following probabilities and find the value of the probabilities.. (a) The symbol for the probability a randomly selected athlete is in the honor program. (b) The probability that a randomly...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT