Question

In: Statistics and Probability

1. Data on students in liberal arts colleges in the U.S. was collected, and the average...

1. Data on students in liberal arts colleges in the U.S. was collected, and the average cost per student was recorded for each school. The following five-number summary was calculated for this data set: minimum= $17,554; first quartile = $23,115; median = $26,668; third quartile = $45,879; maximum=$102,262.

WHEN TYPING CORRECT NUMERICAL ANSWER TYPE: 12,345 NOT 12345 or $12345 or $12,345

a. Calculate the Upper Fence

__________________

b. Using the definition of outlier discussed in your textbook, is the maximum an outlier (Yes/No)?

__________________

c. Calculate the Lower Fence

___________________

d. Using the definition of outlier discussed in your textbook, is the maximum an outlier (Yes/No)?

___________________

2.

Suppose an algebra professor found that the correlation (r) between study time (in hours) and exam score (out of 100) is +.80, and the regression line was found to be ExamScore = 20 + 4*HoursStudied. He arrived at this equation through years of collecting data on his students.

What is the explanatory variable?

What is the response variable?

Is there a positive relationship, a negative relationship or no relationship?

Is the relationship strong or weak?

What is the slope (type number):

What is the intercept (type number):

Predict the exam score for a student who studies 10 hours. (type number)

3.

The quantitative reasoning GRE scores are known to approximately have a Normal distribution with a mean of μ = 151 points and a standard deviation of σ = 8 points.

FORMAT FOR PARTS 1-3: lowerbound, upperbound. using numbers as example: 5,10

1. Use the Empirical Rule to specify the ranges into which 68% of test takers fall.

2. Use the Empirical Rule to specify the ranges into which 95% of test takers fall.

3. Use the Empirical Rule to specify the ranges into which 99.7% of test takers fall .

FOR ANSWERS 4-5 type number ONLY: for example if 10% just type 10

4. What percentage of test takers score lower than 159?

5. What percentage of test takers scored between 135 and 151?

Expert Solution

orchestra answered 1 year ago

The average cost of tuition, room and board at small private liberal arts colleges is reported...

The average cost of tuition, room and board at small private liberal arts colleges is reported to be $8,500 per term, but a financial administrator believes that the average cost is different. A study conducted using 50 small liberal arts colleges showed that the average cost per term is $8,745 with a standard deviation of $1,200. Let α= 0.05. What are the null and alternative hypotheses for this study? What is the critical value for this test? Assuming the value...

Only 30% of the students in a certain liberal arts college are males. Question 10 of...

Only 30% of the students in a certain liberal arts college are males. Question 10 of 11 If two students from this college are selected at random, what is the probability that they are both males? 0 0.25 0.51 0.60 0.09 Again, only 30% of the students in a certain liberal arts college are males. If two students from this college are selected at random, what is the probability that they are of the same...

At a small liberal arts college, students can register for one to six courses. In a...

At a small liberal arts college, students can register for one to six courses. In a typical fall semester, 5% of students take one class, 26% take four classes, and 15% take six classes. a) If 77% of students take four or more classes, find the probability that a randomly selected student takes five courses. What is the probability that a randomly selected student takes three classes, if 10% take at most two classes? b) Calculate the expected value and...

The average cost of tuition and room and board for a small private liberal arts college...

The average cost of tuition and room and board for a small private liberal arts college is reported to be $8,500 per term, but a financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745. The population standard deviation is $1,200. Let α = 0.05. What are the null and alternative hypotheses for this study? rev: 06_20_2017_QC_CS-91792 Multiple Choice H0: µ ≤ $9,000;...

The average cost of tuition and room and board at a small private liberal arts college...

The average cost of tuition and room and board at a small private liberal arts college is reported to be $8,500 per term. A financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745. The population standard deviation is $1,200. Let α = 0.05. Based on the computed test statistic or p-value, what is our decision about the average cost? Equal to $8,500...

People in a random sample of 235 students enrolled at a liberal arts college were asked...

People in a random sample of 235 students enrolled at a liberal arts college were asked questions about how many hours of sleep they get each night. The sample mean sleep duration (average hours of daily sleep) was 7.72 hours and the sample standard deviation was 1.04 hours. The recommended number of hours of sleep for college-age students is 8.4 hours. Is there convincing evidence that the population mean sleep duration for students at this college is less than the...

At one liberal arts college, students are classified as humanities majors, science majors, or undecided. The...

At one liberal arts college, students are classified as humanities majors, science majors, or undecided. The chances are 36% that a humanities major will change to a science major from one year to the next, and 17% that a humanities major will change to undecided. A science major will change to humanities with probability 0.31, and to undecided with probability 0.34. An undecided will switch to humanities or science with probabilities of 0.31 and 0.23, respectively. Find the long-range prediction...

(10) The average tuition and room and board cost at a small private liberal arts college...

(10) The average tuition and room and board cost at a small private liberal arts college is reported to be $20,000 per term. A study of 400 small liberal arts colleges find that the average cost per term is $20,100. The population standard deviation is $1,500. If α = 0.05, what is the critical Z value for the test: Ho: µ= 20,000?

A group of 43 college students from a certain liberal arts college were randomly sampled and...

A group of 43 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. The purpose of this study was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his...

A group of 70 college students from a certain liberal arts college were randomly sampled and...

A group of 70 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. The purpose of this study was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his...