Do male and female college students have the same distribution of living arrangements? Use a level of significance of 0.05. Suppose that 121 randomly selected male college students and 82 randomly selected female college students were asked about their living arrangements: dormitory, apartment, or other. The results are shown in Table. Do male and female college students have the same distribution of living arrangements?

What is the chi-square test-statistic for this data?
χ2=χ2=

Report all answers accurate to three decimal places.

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The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean  and standard deviation .

(a) What is the probability that a single student randomly chosen from all those taking the test scores 545 or higher?
ANSWER:  

For parts (b) through (d), consider a simple random sample (SRS) of 30 students who took the test.

(b) What are the mean and standard deviation of the sample mean score , of 30 students?
The mean of the sampling distribution for  is:  
The standard deviation of the sampling distribution for  is:

(c) What z-score corresponds to the mean score  of 545?
ANSWER:

(d) What is the probability that the mean score  of these students is 545 or higher?
ANSWER:  

A student researcher compares the ages of cars owned by students and cars owned by faculty at a local state college. A sample of 212212 cars owned by students had an average age of 8.588.58 years. A sample of 180180 cars owned by faculty had an average age of 8.958.95 years. Assume that the population standard deviation for cars owned by students is 2.292.29 years, while the population standard deviation for cars owned by faculty is 3.583.58 years. Determine the 90%90% confidence interval for the difference between the true mean ages for cars owned by students and faculty.

Step 1 of 3:

Find the point estimate for the true difference between the population means.

Question 1:

A) If the mean GPA among students is 3.25 with a standard deviation of 0.75, what is the probability that a random sample of 300 students will have a mean GPA greater than 3.30?

B) If the mean GPA among students is 3.25 with a standard deviation of 0.75, and we select a random sample of 300 people, at what value for the sample mean would be greater than exactly 95% of possible sample means?

C) If the mean GPA among students is 3.25 with a standard deviation of 0.75, and we select a random sample of 300 people, at what value for the sample mean would be less than exactly 95% of possible sample means?

Prior to graduation high-school class 0f 2000 was surveyed about their plans. The table below displays the results for white and minority students. (The “minority” group includes African-American, Asian, Hispanic, and Native-American students).

1. Create an appropriate graph comparing white and minority students. (10 points)

1. Do you see any important differences in the post-graduation of white and minority students? Write a brief summary of what these data show. (6 points)

Urban Community College is planning to offer courses in Finite Math, Applied Calculus, and Computer Methods. Each section of Finite Math has 40 students and earns the college $40,000 in revenue. Each section of Applied Calculus has 40 students and earns the college $60,000, while each section of Computer Methods has 10 students and earns the college $23,000. Assuming the college wishes to offer a total of seven sections, accommodate 220 students, and bring in $286,000 in revenues, how many sections of each course should it offer? HINT [See Example 2.] Finite Math. section(s) Applied Calculus section(s) Computer Methods

The Test results of the Business Statistics were published and the scores were as followed

Students 12 14 10 13 17 12 11 15
Results 5 11 7 8 11 7 6 9

Only 2 decimal places

Determine the α (alpha) Coefficient in the regression equation *

4 points

Your answer

Advise if increasing the number of students to 50 will improve the students’ test scores *

2 points

Remain the same

Increase

Decrease

Determine the β Coefficient in the regression equation *

2 points

Your answer

The association between the students and the results is *

2 points

Positive

Zero

negative

Determine the Correlation Coefficient of the student’s results *

A group of researchers is interested in middle school students and their willingness to appear to stand out. A random sample of 260 middle school students is gathered, and the researchers ask them to wear bright orange shoes to school for a day. In the sample of 260 students, 192 were willing to wear the bright orange shoes. Estimate the overall proportion of middle school students that would be willing to wear bright orange shoes to school for the day. Use a 95% confidence level.

a) State the parameter of interest.  

b) Find the critical value and standard error. Critical Value: Standard Error:

c. c) Find the confidence interval: ( , )

d.d) Interpret the 95% confidence interval in context.

a starting lineup in basketball consist of a left guard, a right guard, a left forward, a right forward, and a center. Also, a certain regional high school serves students from the municipalities of Alicetown and Burridge, and this high school has a basketball team. Of the team's 4 guards, 2 are from Alicetown; of the team's 5 forwards, 2 are from Alicetown; and, of the team's 5 centers, 2 are from Alicetown.

a) How many ways are there to form a starting lineup consisting only of students from alicetown?

b) what is the probability that all the students in the starting lineup come from Alicetown?

c) What is the probability that all of the students in a starting lineup come from the same municipality?

Question 5 (1 point)
A high school math teacher believes that male and female students who graduated from the school perform equally well on SAT math test. She randomly chooses 10 male students and 10 female students who graduated from this school. The following are the SAT math scores of the 20 students:

Male: 23, 30, 27, 29, 22, 34, 36, 28, 28, 31
Female: 22, 33, 30, 28, 28, 31, 34, 25, 29, 21

Test the teacher's claim.

What is the p-value?

Question 5 options:

0.6268

0.0407

0.7223

0.0521