Question

In: Statistics and Probability

As part of its freshman orientation process, a college gives a math placement exam to incoming...

As part of its freshman orientation process, a college gives a math placement exam to incoming freshmen. The math department is interested in whether there is a statistically significant difference in the average exam score for students in different programs, at a level of α=0.01. The exam scores for random samples of science, engineering, humanities, and business majors are shown in the following table. The math department has confirmed that the samples were randomly selected and independent, that the populations are normally distributed, and that the population variances of scores are equal. Use Excel to calculate the degrees of freedom, critical value, and test statistic for the data set, rounding the critical value and test statistic to two decimal places.

Science Engineering Humanities Business
89 83 86 78
89 85 82 78
90 86 86 82
88 82 85 81
83 82 82 79
82 87 88 87
85 83 85 85
83 85 87 83
83 83 86 82
87 87 86 79
87 86 81 76
81 87 85 78
87 90 84 79
83 85 85 74
85 86 86 88
88 81 86 83
85 88 79 82
85 87 82 81
89 88 82 78
89 91 79 78

Numerator degrees of freedom =

denominator degrees of freedom =

critical value =

test statistic =

Solutions

Expert Solution



Related Solutions

As part of its freshman orientation process, a college gives a math placement exam to incoming...
As part of its freshman orientation process, a college gives a math placement exam to incoming freshmen. The math department is interested in whether there is a statistically significant difference in the average exam score for students in different programs, at a level of α=0.01. The exam scores for random samples of science, engineering, humanities, and business majors are shown in the following table. The math department has confirmed that the samples were randomly selected and independent, that the populations...
A university gives every student an entrance exam at the beginning of their freshman year. The...
A university gives every student an entrance exam at the beginning of their freshman year. The exam includes general knowledge questions and specific subject questions. Scores are recorded in each students file and used for course placement purposes. Each year 25 students are randomly sampled for further questioning and testing. The scores for all students in the Fall of 2019 are normally distributed with mean 81 and standard deviation 5. Suppose you were asked the next two questions (don’t answer...
1. The average of a random sample of 10 scores on a college placement exam is...
1. The average of a random sample of 10 scores on a college placement exam is x ¯= 75, and the sample standard deviation is s = 8.4. Assuming that the collection of all scores on the exam is approximately normally distributed, find a 90 percent confidence interval for the mean score. 2. In a random sample of 100 eligible voters, 85 preferred candidate A over candidate B. Find a 99 percent confidence interval for the proportion p of voters...
1. The results of a mathematics placement exam at two different campuses of Mercy College follow:...
1. The results of a mathematics placement exam at two different campuses of Mercy College follow:   Campus Sample size Mean Population Std. Deviation 1       1,995       50       14               2       303       47       12               What is the computed value of the test statistic? 3.0 4.0 2.0 11.9 2. The results of a mathematics placement exam at two different campuses of Mercy College follow:   Campus Sample size Mean Population Std. Deviation 1       2,631       33       15               2       300       30       13               Is there a difference in...
In a college freshman Math course, the following grades were recorded: 45 57 38 56 45...
In a college freshman Math course, the following grades were recorded: 45 57 38 56 45 64 29 49 48 41 37 48 61 36 34 72 47 54 41 50 55 26 47 41 47 36 49 71 55 62 Determine the mean, median, mode(s), quartile 1, quartile 3, and IQR for the data given
The Department of Mathematics and Computer Science of Dickinson College gives an exam each fall to...
The Department of Mathematics and Computer Science of Dickinson College gives an exam each fall to freshmen that intend to take calculus; scores on the exam are used to determine into which level of calculus a student should be placed. The exam consists of 20 multiple-choice questions. Scores for the 213 students who took the exam in 1992 are tallied in the following table. Score 1 2 3 4 5 6 7 8 9 10 Count 1 1 5 7...
This problem has 6 parts. This is part 1 of 6. Freshman college students are often...
This problem has 6 parts. This is part 1 of 6. Freshman college students are often wary of the “freshman 15”, gaining 15 pounds during the first year of college.  A dietitian on a local college campus decided to collect data to see the validity of the “freshmen 15”.  She randomly samples 15 students and measures their weight at the beginning of their first year of college and then again at the end.  A summary of the data is below. The dietitian claims,...
This problem has 6 parts. This is part 1 of 6. Freshman college students are often...
This problem has 6 parts. This is part 1 of 6. Freshman college students are often wary of the “freshman 15”, gaining 15 pounds during the first year of college.  A dietitian on a local college campus decided to collect data to see the validity of the “freshmen 15”.  She randomly samples 15 students and measures their weight at the beginning of their first year of college and then again at the end.  A summary of the data is below. The dietitian claims,...
A math department gives all college algebra students a test to test rather or not students...
A math department gives all college algebra students a test to test rather or not students taking college algebra on site perform better on Final than students that take class completely online. The Math department gathers random samples of 40 on-site students (Students who take class in the classroom) and 35 online students. The test score for each student in the random sample is determined. The mean score for the on-site students is 75, with a standard deviation of 12....
Estimating Mean SAT Math Score The SAT is the most widely used college admission exam. (Most...
Estimating Mean SAT Math Score The SAT is the most widely used college admission exam. (Most community colleges do not require students to take this exam.) The mean SAT math score varies by state and by year, so the value of µ depends on the state and the year. But let’s assume that the shape and spread of the distribution of individual SAT math scores in each state is the same each year. More specifically, assume that individual SAT math...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT