Question

In: Statistics and Probability

Suppose your statistics instructor gave six examinations during the semester. You received the following exam scores...

Suppose your statistics instructor gave six examinations during the semester. You received the following exam scores (percent correct): 95, 64, 82, 88, 92, and 73. To compute your final course grade, the instructor decided to randomly select two exam scores, compute their mean, and use this score to determine your final course grade.

  1. Compute the population mean. This is your average grade based on all of your grades. (Round your answer to 2 decimal places.)

  1. Compute the population standard deviation. (Round your answer to 2 decimal places.)

  1. How many difference scores could be calculated if your instructor decided to random sample two of your exam scores?

  1. List all possible samples of size 2 and compute the mean of each. (Round your answers to 1 decimal place.)

  1. Compute the mean of the sample means and the standard error of the sample means. (Round your answers to 2 decimal places.)

  1. Applying the central limit theorem, if the instructor randomly samples two of your exam scores to compute an average as your final course grade, what is the probability your final course grade will be less than 82.33? What is the probability that your final course grade will be more than 82.33? (Round your answers to 1 decimal places.)

Solutions

Expert Solution


Related Solutions

Suppose your statistics instructor gave six examinations during the semester. You received the following exam scores...
Suppose your statistics instructor gave six examinations during the semester. You received the following exam scores (percent correct): 92, 70, 84, 87, 90, and 75. To compute your final course grade, the instructor decided to randomly select two exam scores, compute their mean, and use this score to determine your final course grade. Compute the population mean. This is your average grade based on all of your grades. (Round your answer to 2 decimal places.) Compute the population standard deviation....
Suppose you had six homework assignments during the semester and received the following scores: 79, 64,...
Suppose you had six homework assignments during the semester and received the following scores: 79, 64, 84, 82, 92, and 77. Your professor decided to randomly select two scores, compute the mean, and use this score to determine your final grade What is the population mean? How many different samples of two test grades are possible? List all of them and compute the mean of each. Compute the mean of the sample means and compare it to the population mean....
Suppose you had six homework assignments during the semester and received the following scores: 79, 64,...
Suppose you had six homework assignments during the semester and received the following scores: 79, 64, 84, 82, 92, and 77. Your professor decided to randomly select two scores, compute the mean, and use this score to determine your final grade What is the population mean? How many different samples of two test grades are possible? List all of them and compute the mean of each. Compute the mean of the sample means and compare it to the population mean....
A) Suppose that the mean and standard deviation of the scores on a statistics exam are...
A) Suppose that the mean and standard deviation of the scores on a statistics exam are 89.2 and 6.49, respectively, and are approximately normally distributed. Calculate the proportion of scores below 77. 1) 0.0301 2) 0.9699 3) We do not have enough information to calculate the value. 4) 0.2146 5) 0.7854 B) When students use the bus from their dorms, they have an average commute time of 8.974 minutes with standard deviation 3.1959 minutes. Approximately 66.9% of students reported a...
Suppose the scores on a recent exam in your statistics class were as follows: 78, 96,...
Suppose the scores on a recent exam in your statistics class were as follows: 78, 96, 60, 93, 55, 84, 76, 92, 62, 83, 80, 90, 64, 75, 79, 31, 75, 64, 99, 74, 88, 61, 82, 68, 79, 78, 80, 85. a) Create a stemplot for these test scores using each 10s value once on the stem and ordered leaves on each branch. Refer to the test scores in the Question above a) Create a histogram for the test...
PART I Suppose that the mean and standard deviation of the scores on a statistics exam...
PART I Suppose that the mean and standard deviation of the scores on a statistics exam are 78 and 6.11, respectively, and are approximately normally distributed. Calculate the proportion of scores above 74. 1) 0.8080 2) 0.1920 3) 0.2563 4) We do not have enough information to calculate the value. 5) 0.7437 PART II When students use the bus from their dorms, they have an average commute time of 9.969 minutes with standard deviation 3.9103 minutes. Approximately 27.23% of students...
You were told that the mean score on a statistics exam is 75 with the scores...
You were told that the mean score on a statistics exam is 75 with the scores normally distributed. In addition, you know the probability of a score between 55 and 60 is 4.41% and that the probability of a score greater than 90 is 6.68%. What is the probability of a score between 55 and 95?
The following are final exam scores for 30 students in an elementary statistics class.
The following are final exam scores for 30 students in an elementary statistics class. 91            59            82            91            79            76            90            69            77            83 59            88            95            72            88            81            77            52            80            96 62            97            76            75            75            89            61            72            90            85 a.              Find the quartiles for this data______________________________. b.             What is the Interquartile Range (IQR)_________________________? c.              What percent of students got at least a 72 on their final exam______________? d.              Build a boxplot using the graphing calculator.
On the following page are the exam scores on the first Statistics test for all my classes.
  On the following page are the exam scores on the first Statistics test for all my classes. Using everything we covered in the first three chapters of our textbook, describe the data. I recommend going through your notes and textbook, chapter by chapter. Include as much as you can – type of data, frequency distribution, histogram, numerical methods, etc. The standard deviation for the data is 16.7. For problems 2 and 3, identify the null and alternative hypotheses, test...
The following data represent exam scores in a statistics class taught using traditional lecture and a...
The following data represent exam scores in a statistics class taught using traditional lecture and a class taught using a​ "flipped" classroom. Complete parts​ (a) through​ (c) below. Traditional 71.071.0 69.969.9 80.580.5 67.567.5 84.384.3 77.677.6 57.057.0 82.582.5 81.281.2 70.970.9 64.364.3 70.370.3 60.160.1 Flipped 76.776.7 71.771.7 64.064.0 72.672.6 77.577.5 90.990.9 79.879.8 77.277.2 81.681.6 69.269.2 92.592.5 77.777.7 75.775.7 ​(a) Which course has more dispersion in exam scores using the range as the measure of​ dispersion? The traditional course has a range of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT