SOLUTION: Question 1. • Suppose that you are an elementary school teacher and you are evaluating the reading levels of your students. You find an individual that reads 58.3 word per min

Question 1174463: Question 1.
• Suppose that you are an elementary school teacher and you are evaluating the reading levels of your students. You find an individual that reads 58.3 word per minute. You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 100 words per minute and a standard deviation of 23 words per minute.
• At what percentile is the child's reading level (round final answer to one decimal place).
• Create a graph with a normal curve that illustrates the problem.

For the graph do NOT make an empirical rule graph, just include the mean and the mark off the area that corresponds to the student's percentile. There is a Normal Distribution Graph generator linked in the resources area. Upload file containing your graph below.
• Make an argument to the parents of the child for the need for remediation. Structure your essay as follows:
 A basic explanation of the normal distribution
 Why the normal distribution might apply to this situation
 Describe the specific normal distribution for this situation (give the mean and standard deviation)
 Interpret the answer to part a. including a definition of percentile.
 Explain how the graph created in part b. represents the child's reading level.
 Use the answers to parts a. and b. to emphasize the gravity of the situation.
 Give a suggested course of action.

QUESTION 2
Suppose that you are working for a chain restaurant and wish to design a promotion to disabuse the public of notions that the service is slow. You decide to institute a policy that any customer that waits too long will receive their meal for free. You know that the wait times for customers are normally distributed with a mean of 16 minutes and a standard deviation of 3.3 minutes. Use statistics to decide the maximum wait time you would advertise to customers so that you only give away free meals to at most 1% of the customers.
• Determine an estimate of an advertised maximum wait time so that 1% of the customers would receive a free meal. Round to one decimal place minutes
• Include a graph illustrating the solution. For the graph do NOT make an empirical rule graph, just include the mean and the mark off the area that corresponds to the 1% who would receive the refund. There is a Normal Distribution Graph generator linked in the resources area. Combine the above into as single file and upload using the link below
• Write a response to the vice president explaining your prescribed maximum wait time. Structure your essay as follows:
 An advanced explanation of the normal distribution
 Why the normal distribution might apply to this situation
 Describe the specific normal distribution for this situation (give the mean and standard deviation)
 Explain how the graph created in part b. represents the waiting times of the customers.
 Explain the answer to part a. in terms of both the customers who get a free meal and those who do not. Feel free to use the accurate answer in part a to determine a "nice" wait time to be used in the actual advertising campaign.
 Use the answers to parts a. and b. to explain how the proposal will not result in a loss of profit for the company.

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!


Hi
Both previously posted
Normal Distribution:   μ= 100w/m  and   σ = 23w/m 
Per TI Calculator
P(x ≤ 58.3)= normalcdf(-9999, 58.3, 100, 23) = .0349
 At what percentile is the child's reading level  3.5%
     .
      keisan.casio.com

------------------

Normal Distribution:      μ = 16m   and   σ = 3.3m  

Determine an estimate"x" of an advertised maximum wait time so that
 1% of the customers would receive a free meal.  
z = 2.326 appropriate to use:  invNorm(.99) = 2.236 (invNorm(area to left of desired z)
 2.326(3.3) + 16 = 23.667min  0r 23.7min
23.7m of wait time would be the maximum for 99% of the people
.
keisan.casio.com

Wish You the Best in your Studies.

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