Suppose that the national average for the math portion of the College Board's SAT is 518. 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.

Suppose that the national average for the math portion of the College Board's SAT is 518. The College Board periodically rescales the test scores such that the standard deviation is approximately 50. 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. (a) What percentage of students have an SAT math score greater than 568? % (b) What percentage of students have an SAT math score greater than 618? % (c) What percentage of students have an SAT math score between 468 and 518? % (d) What is the z-score for student with an SAT math score of 620? (e) What is the z-score for a student with an SAT math score of 405?

Avoiding an accident while driving can depend on reaction time. That time, measured from the time the driver first sees the danger until the driver gets his/her foot on the brake pedal, can be described by a normal model with mean 1.9 seconds and standard deviation 0.13 seconds. Use the 68-95-99.7 rule (NOT a z table) to answer the following questions. The pictures of the 68-95-99.7 rule at this link might help.
http://www.oswego.edu/~srp/stats/6895997.htm

What percentage of drivers have a reaction time more than 2.16 seconds?

________%

What percentage of drivers have a reaction time less than 1.77 seconds?
________%

What percentage of drivers have a reaction time less than 2.03 seconds?
________%

please i want solution for this question with algorithm and step by step with c++ language

1. write a program using for loop that calculates the total grade for N classroom exercises as a percentage. The user should input the value for N followed by each of the N scores and totals. Calculate the overall percentage (sum of the total points earned divided by the total points possible) and output it as a percentage. Sample input and output is shown below.How many exercises to input? 3
   
   Score received for exercise 1: 10
   Total points possible for exercise 1: 10
   
   Score received for exercise 2: 7
   Total points possible for exercise 2: 12
   
   Score received for exercise 3: 5
   Total points possible for exercise 3: 8
   
   Your total is 22 out of 30, or 73.33%.

Refer to the article “Control of Cardiovascular Risk Factors in Patients With Diabetes and Hypertension at Urban Academic Medical Centers” (http://care.diabetesjournals.org/content/25/4/718.long)

a) Construct a 4x2 contingency table that illustrates the relationship between the following two variables: Hospital at which the patient was seen, and whether or not the patient had LDL £ 100 mg/dl. Use the Hospital names as the row headings and whether or not the patient had LDL £ 100 mg/dl as the column headings. Include the overall total as well as row and column totals. Use your table to answer the questions in parts b – e. (Note: Be careful when filling in your table - not all patients have data for these variables. When answering the questions below, use totals from your table.)

b) What percentage of all patients had LDL > 100 mg/dl?

c) What percentage of the patients at VAMC Brooklyn had LDL > 100 mg/dl?

d) What percentage of the patients at VAMC Detroit had LDL > 100 mg/dl?

e) What percentage of the patients having LDL £ 100 were seen at SUNY Brooklyn?

5) Here are summary statistics for randomly selected weights of newborn girls: n=197, x=32.7hg, s=6.7 hg. Construct a confidence interval estimate of the mean. Use a 98% confidence level. Are these results very different from the confidence interval 31.6 hg< μ < 34.8 hg with only 12 sample values, x=33.2 hg, and s=2.5 hg? What is the confidence interval for the population mean μ?

3) The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be 80% confident that his estimate is within five percentage points of the true population​ percentage?

Complete parts​ (a) through​ (c) below.

A) Assume that nothing is known about the percentage of adults who have heard of the brand.
a.n=_________​(Round up to the nearest​ integer.)

B) Assume that a recent survey suggests that about 85​% of adults have heard of the brand.

b.n=_________(Round up to the nearest​ integer.)

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet.

1.    If X = distance in feet for a fly ball, then X ~ _____(_____,_____) ?

2.    Find the z-scores for fly balls that travel 200 feet and 300 feet.

3.    What is the approximate percentage of fly balls that travel between 200 and 300 feet? (Use Empirical Rule)

4.    Find the z-score for a fly ball that travels 150 feet.

5.    What is the approximate percentage of fly balls that travel fewer than 150 feet? (Use Empirical Rule)

6.    What is the approximate percentage of fly balls that travel more than 200 feet? (Use Empirical Rule)

7.    99.7% of fly balls travel between what two distances? (Use Empirical Rule)

8.    What is the percentage of fly balls that travel more than the mean distance? (Use Empirical Rule)

9.    What is the z-score for a fly ball that travels 270 feet?

10. What fly ball distance has z-score of -1.30?

Management of Mittel Rhein AG of Köln, Germany, would like to reduce the amount of time between when a customer places an order and when the order is shipped. For the first quarter of operations during the current year the following data were reported:

Inspection time 0.4 days Wait time (from order to start of production) 16.2 days Process time 3.4 days Move time 1.0 days Queue time 3.5 days

Required: 1. Compute the throughput time. (Round your answer to 1 decimal place.) 2. Compute the manufacturing cycle efficiency (MCE) for the quarter. (Round your percentage answer to nearest whole percent.) 3. What percentage of the throughput time was spent in non–value-added activities? (Round your percentage answer to nearest whole percent.) 4. Compute the delivery cycle time. (Round your intermediate calculations and final answer to 1 decimal place.) 5. If by using Lean Production all queue time during production is eliminated, what will be the new MCE? (Do not round intermediate calculations. Round your percentage answer to 1 decimal place.)

Consider the following stock price and shares outstanding information.

Consider the following stock price and shares outstanding information.

1. Compute the beginning and ending values for a price-weighted index and a market-value-weighted index. Assume a base value of 100 and Year 1 as the base period. Do not round intermediate calculations. Round your answers to two decimal places.

             PWI_{Year 1}:

             PWI_{Year 2}:

             VWI_{Year 1}:

             VWI_{Year 2}:

2. Compute the percentage change in the value of each index during the year. Do not round intermediate calculations. Round your answers to two decimal places.

   Percentage change in PWI:   %

   Percentage change in VWI:   %

3. Compute the percentage change for an unweighted index assuming $1,000 is invested in each stock. Do not round intermediate calculations. Round your answer to two decimal places.

     %