Question

In: Statistics and Probability

Chapter 5 Questions Bench Mark Data set Assuming the bench mark data set has a normal...

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%

  1. 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%

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

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

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Question: A set of data has a normal distribution with a mean of 53 and a...
Question: A set of data has a normal distribution with a mean of 53 and a standard deviation of 6. Find the... A set of data has a normal distribution with a mean of 53 and a standard deviation of 6. Find the percent of data within each interval... a. from 47 to 65 b. from 41 to 47 c. greater than 59 d. less than 65 Please show all steps. Note: a - d are NOT potential answers, they...
A set of data has a normal distribution with a mean of 47 and a standard...
A set of data has a normal distribution with a mean of 47 and a standard deviation of 7. Find the percent of data within the following interval. less than 47
1153 – Chapter 12 & 5 HW Questions 1. ACT scores follow an approximately normal distribution....
1153 – Chapter 12 & 5 HW Questions 1. ACT scores follow an approximately normal distribution. One year, the mean score was 18.2 with standard deviation 5.8. Round proportions to 4 decimal places and scores to the appropriate integer. (a) What proportion of students scored below 20? Above 25? Between 20 and 30? (b) What score did someone at the 80th percentile have? (c) Describe the top 10% of ACT scores: (d) Describe the middle 50% of ACT scores: 2....
Assuming a normal distribution with a mean of 5 and standard deviation of 1.2, what is...
Assuming a normal distribution with a mean of 5 and standard deviation of 1.2, what is the P(X = 6)? 0 0.2033 -0.8333 0.8333   Assuming the expected value of a distribution is 4 and the standard deviation is 0.85, what would be the expected value if a constant of 1 added to each value of x? 4.00 4.85 5.00 5.85 What distribution would you use if you want to find the expected number of heads when you flip a coin...
7. Chapter 13, Question 2: Use the attached data file “Chapter 13 Data Set 1” to...
7. Chapter 13, Question 2: Use the attached data file “Chapter 13 Data Set 1” to answer this question in the book. Do you agree with the author’s conclusion about whether practice time makes a difference? <15 Hours Practice 15-25 Hours Practice More than 25 Hours Practice 58.7 64.4 68 55.3 55.8 65.9 61.8 58.7 54.7 49.5 54.7 53.6 64.5 52.7 58.7 61 67.8 58.7 65.7 61.6 65.7 51.4 58.7 66.5 53.6 54.6 56.7 59 51.5 55.4 54.7 51.5 61.4...
Using R program and with a For loop. Assuming a data set of 1000 observations and...
Using R program and with a For loop. Assuming a data set of 1000 observations and 10 predictors. How would one use a for loop to cycle through different proportions of training and test sizes. For example, 20% of data goes to training and 80% for test in first iteration. Each iteration adding another 10% to the training set. So first set= (20% train, 80% test), second set = (30% train, 70% test), third set= (40% train,60%test) and so on....
Data Analysis and Probability: For Questions 6-7: A normal distribution has a mean of 2.5 and...
Data Analysis and Probability: For Questions 6-7: A normal distribution has a mean of 2.5 and a standard deviation of 0.6. Find the probability that a randomly selected x-value from the distribution is in the given interval. Round your decimal answer to the nearest hundredth and your percent to the nearest whole number. 6) Between 3.3 and 3.9 7) At least 2.1 8) After sending, the email of a certain system has normally distributed arrival times with a mean of...
5. Use the data set given below to answer these questions: (24 marks) Income 52.1 49.3...
5. Use the data set given below to answer these questions: Income 52.1 49.3 48.9 44.4 53.5 48.0 49.2 50.6 53.2 43.7 46.9 45.5 50.1 48.1 52.7 49.5 44.5 52.0 51.1 54.9 54.0 54.2 44.2 47.2 51.9 52.8 52.3 53.6 44.2 38.4 a. What is the sample mean of the variable Income? b. What is the sample median the variable Income? c. Find the range of Income. d. Find the sample standard deviation of Income. e. Compute the first and...
For questions 1-5 (and additional practice question if desired) please use the below data set: Seattle...
For questions 1-5 (and additional practice question if desired) please use the below data set: Seattle is known for its love of coffee (after all its where Starbucks originated). We sampled one hundred people in the city of Seattle asking them how much they spend a month on coffee in dollars. Our responses are listed below: 31 18 94 50 72 86 21 38 24 38 11 51 69 50 91 32 41 88 20 36 53 20 36 21...
5. Use the data set given below to answer these questions: (24 marks) Income 52.1 49.3...
5. Use the data set given below to answer these questions: Income 52.1 49.3 48.9 44.4 53.5 48.0 49.2 50.6 53.2 43.7 46.9 45.5 50.1 48.1 52.7 49.5 44.5 52.0 51.1 54.9 54.0 54.2 44.2 47.2 51.9 52.8 52.3 53.6 44.2 38.4 a. What is the sample mean of the variable Income? b. What is the sample median the variable Income? c. Find the range of Income. d. Find the sample standard deviation of Income. e. Compute the first and...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT