SAT scores:The mean mathematics SAT score was 505, and the standard deviation was 114. A sample of 64 scores is chosen. Use the Cumulative Normal Distribution Table if needed. Part 1 of 5 (a) What is the probability that the sample mean score is less than 492? Round the answer to at least four decimal places. The probability that the sample mean score is less than 492 is Part 2 of 5 (b) What is the probability that the sample mean score is between 470 and 515? Round the answer to at least four decimal places. The probability that the sample mean score is between 470 and 515 is Part 3 of 5 (c) Find the 25th percentile of the sample mean. Round the answer to at least two decimal places. The 25th percentile of the sample mean is X X
SAT scores:The mean mathematics SAT score was 505, and the standard deviation was 114. A sample of 64 scores is chosen. Use the Cumulative Normal Distribution Table if needed. Part 1 of 5 (a) What is the probability that the sample mean score is less than 492? Round the answer to at least four decimal places. The probability that the sample mean score is less than 492 is Part 2 of 5 (b) What is the probability that the sample mean score is between 470 and 515? Round the answer to at least four decimal places. The probability that the sample mean score is between 470 and 515 is Part 3 of 5 (c) Find the 25th percentile of the sample mean. Round the answer to at least two decimal places. The 25th percentile of the sample mean is X X
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**SAT Scores: Probability and Percentile Calculations**
The mean mathematics SAT score was 505, and the standard deviation was 114. A sample of 64 scores is chosen. Use the Cumulative Normal Distribution Table if needed.
### Part 1 of 5
**(a)** What is the probability that the sample mean score is less than 492? Round the answer to at least four decimal places.
- The probability that the sample mean score is less than 492 is [Input box].
### Part 2 of 5
**(b)** What is the probability that the sample mean score is between 470 and 515? Round the answer to at least four decimal places.
- The probability that the sample mean score is between 470 and 515 is [Input box].
### Part 3 of 5
**(c)** Find the 25th percentile of the sample mean. Round the answer to at least two decimal places.
- The 25th percentile of the sample mean is [Input box].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78020af4-edac-45d4-a6db-c9f21dc2273f%2F0cc57e14-d6f9-4465-9c3d-2b08a8c9faa9%2Fm98eitf_processed.png&w=3840&q=75)
Transcribed Image Text:**SAT Scores: Probability and Percentile Calculations**
The mean mathematics SAT score was 505, and the standard deviation was 114. A sample of 64 scores is chosen. Use the Cumulative Normal Distribution Table if needed.
### Part 1 of 5
**(a)** What is the probability that the sample mean score is less than 492? Round the answer to at least four decimal places.
- The probability that the sample mean score is less than 492 is [Input box].
### Part 2 of 5
**(b)** What is the probability that the sample mean score is between 470 and 515? Round the answer to at least four decimal places.
- The probability that the sample mean score is between 470 and 515 is [Input box].
### Part 3 of 5
**(c)** Find the 25th percentile of the sample mean. Round the answer to at least two decimal places.
- The 25th percentile of the sample mean is [Input box].
![Part 4 of 5
(d) Would it be unusual if the sample mean were greater than 535? Round the answer to at least four decimal places.
It [Choose one ▼] be unusual if the sample mean were greater than 535, since the probability is [ ].
Part 5 of 5
(e) Do you think it would be unusual for an individual to get a score greater than 535? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places.
It [Choose one ▼] be unusual for an individual to get a score greater than 535, since the probability is [ ].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78020af4-edac-45d4-a6db-c9f21dc2273f%2F0cc57e14-d6f9-4465-9c3d-2b08a8c9faa9%2Fx6uo178_processed.png&w=3840&q=75)
Transcribed Image Text:Part 4 of 5
(d) Would it be unusual if the sample mean were greater than 535? Round the answer to at least four decimal places.
It [Choose one ▼] be unusual if the sample mean were greater than 535, since the probability is [ ].
Part 5 of 5
(e) Do you think it would be unusual for an individual to get a score greater than 535? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places.
It [Choose one ▼] be unusual for an individual to get a score greater than 535, since the probability is [ ].
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VIEWStep 2: Determine the probability that the sample mean score is less than 492.
VIEWStep 3: Determine the probability that the sample mean score is between 470 and 515.
VIEWStep 4: Determine the 25th percentile of the sample mean.
VIEWStep 5: Determine whether it is unusual if the sample mean is greater than 535.
VIEWStep 6: Determine whether it is unusual if the individual score is greater than 535.
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