According to the statistical surveys conducted by the Municipality of Balcova, students of Izmir University of Economics and small buses arrive to the bus stop around 4 PM with a Poisson distribution. A number of students come to a bus stop on average every 2 minutes with a rate of 10. At the same time a bus arrives to bus stop on average every 10 minutes and its passenger capacity is 20. Also, it is calculated that the average salary of the students is around 1200 TL per month and they are using this budget 8 hours per day and 30 days per months. The cost of small buses per hour is calculated as 1800 TL. According to this information, the Municipality of Balcova wants to re-design bus stop capacity. Therefore, what should be the optimal capacity for this bus-stop?

A survey conducted at a regional university in the northern Midwest revealed that 5% of the students were underweight, 48% of the students were of a normal weight, 32% were overweight, and 15% were obese. The university initiated a multi-faceted health promotion intervention and re-evaluated student weight status again one year later. The results are displayed in Table 1 below:

Weight Status Underweight Normal weight Overweight Obese Total

Number of Students: 45 885 420 150 1500

Based on this data, is there evidence of a shift in the distribution of weight status following the implementation of the health promotion intervention on campus? Run the test at a 5% level of significance.

Indicate the correct competing hypotheses:

Indicate the most accurate p-value associated with the above-mentioned conclusion:

Historically, the average score of PGA golfers for one round is 71.4 with a standard deviation of 3.29. A random sample of 102 golfers is taken. What is the probability that the sample mean is less than 72?

Professors in the Economics Department at Western want to determine how challenging the program was for students. Out of a random sample of 21 students, 16 indicated that the program was either "challenging" or "very challenging". The 95% confidence interval estimating the proprotion of all students in the department who thought the program was challenging is given by which of the following?

Question 9 options:

Ho: 72.7% of high school students (grade 9-12) do not get enough sleep at night. (minimum 8 hours) (article claim)

Ha: 72.7% of high school students (grade 9-12) do get enough sleep at night.

Record the hypothesis test. Use 5% level of significance Include 95% confidence interval on solution sheet.

Create graph to illustrates results.

Conclusion about article claim in light of your hypothesis test.

Sentence interpreting your confidence interval in the context of the situation.

Suppose that the national average for the math portion of the College Board's SAT is 548. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores.

If required, round your answers to two decimal places.

1. Suppose that the national average for the math portion of the College Board's SAT is 528. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores.

If required, round your answers to two decimal places. If your answer is negative use “minus sign”.

4. In a research project to determine the relationship between the numbers of articles read and students’ grades for the paper, 6 students were randomly chosen and below data was collected

a) Draw a scatter plot for the data;

b) Find the equation of the line of best fit. Draw the line of best fit on the scatter plot diagram. Round off the coefficients to one decimal place;

c) Find the coefficient of determination. Write a statement of interpretation for it.

5. Solve question 3 again, using a statistical software (i.e., Excel, StatDisk, etc.). Attach the printed output to your assignment.    

=> I need a screen shot

Chapter 5 Questions Bench Mark Data set

Assuming the bench mark data set has a normal distribution with a mean 65.54 and a standard deviation of 6.05 Answer the Following Questions

1. If Dennis scores 69 on the bench mark score, what is his percentile rank?

Z = 69 – 65.54 / 6.04

            Z= .57

21.57 + 50 = 71.57%

2. If Dennis Scores a 62 what percentage of students did better than Dennis?

Z = 62 – 65.54/ 6.05

Z= -.58

22.4 + 50 = 72.24%

3. What would the area between the scores of 63 and 78 and what would be the percentage of students between 63-78?

4. How would you use a z score to target the top 10% of students for enrichment and the bottom 10 percent of remediation?

6)  You have a group of 500 students.  On a particular test, μ = 72 and σ = 10.

      a)  How many students scored above 88?

      b)  What is the number of students scoring below 60?

7)  100 9-year old boys take turns throwing a baseball as far as they can.  For the group,

      average distance thrown is 80 feet and σ = 20 feet.      

      a) What percentage threw 100 feet or more?

      b) How many threw 45 feet or less?

      c) What distance would be the top 10%?

      d) What is the probability that a child picked at random threw between 59-99 feet?

      e) What distances are so extreme that only 1% did it?

      f) What distances are so extreme that only 5% did it?