A student at Cal Poly Pomona wondered what was the average SAT Math score of all Computer Science majors at Cal Poly Pomona. She selected a random sample of 35 Computer Science majors and found their average SAT math score was 586 with standard deviation 10s. a) What is the appropriate value for t for a 90% confidence interval? (3 decimal places) 1.307 b) Construct a 90% confidence interval to estimate the average SAT Math score for all Computer Science majors at Cal Poly Pomona. (2 decimal places) (55S 99 016 01 e) Interpret your confidence interval in the context of the question? O 90% of the SAT Math scores in aur sample are in this confidence interval. O There is a 90% probability that the average SAT Math score of al Compoter Science majors is in this confidence anterval O We are 90% confident that this interval captures the average SAT Math score of all Computer Science majors at Cal Poly Pomona We are 90% confident that the average SAT Math score of the Computer Science majors in this sample is in this confidence interval d) what is the value of your margin of error? (2 decimal places) 2320

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A student at Cal Poly Pomona wondered what was the average SAT Math score of all Computer Science majors at Cal Poly Pomona. She selected a random sample ot 35
Computer Science majors and found their average SAT math score was S86 with standard deviation 105
a) What is the appropriate value for t for a 90% confidence interval? (3 decimal places)
1307
b) Construct a 90% confidence interval to estimate the average SAT Math score for all Computer Science majors at Cal Poly Pomona. (2 decimal places)
560 99
016 01
e) Interpret your confidence interval in the context of the question?
O 90% of the SAT Math scores in aur sample are in this confidence interval.
O There is a 90% probabitity that the average SAT Math score of al Computer Science majors is in this confidence interval
O We are 90% confident that this interval captures the average SAT Math score of all Computer Science majons at Cal Poly Pomona
We are 90% confident that the average SAT Math score of the Computer Science majors in this sample is in this confidence interval
d) what is the value of your margin of error? (2 decimal places)
2320
Transcribed Image Text:A student at Cal Poly Pomona wondered what was the average SAT Math score of all Computer Science majors at Cal Poly Pomona. She selected a random sample ot 35 Computer Science majors and found their average SAT math score was S86 with standard deviation 105 a) What is the appropriate value for t for a 90% confidence interval? (3 decimal places) 1307 b) Construct a 90% confidence interval to estimate the average SAT Math score for all Computer Science majors at Cal Poly Pomona. (2 decimal places) 560 99 016 01 e) Interpret your confidence interval in the context of the question? O 90% of the SAT Math scores in aur sample are in this confidence interval. O There is a 90% probabitity that the average SAT Math score of al Computer Science majors is in this confidence interval O We are 90% confident that this interval captures the average SAT Math score of all Computer Science majons at Cal Poly Pomona We are 90% confident that the average SAT Math score of the Computer Science majors in this sample is in this confidence interval d) what is the value of your margin of error? (2 decimal places) 2320
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