An SRS of 380 high school seniors gained an average of ?¯=21.02 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation ?=49.89. We want to estimate the mean change in score ? in the population of all high school seniors. (a) Using the 68 – 95 – 99.7 Rule or the ?-table (Table A), give a 95% confidence interval (?,?) for ? based on this sample. ? :     ? :

Question
An SRS of 380 high school seniors gained an average of ?¯=21.02 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation ?=49.89. We want to estimate the mean change in score ? in the population of all high school seniors.

(a) Using the 68 – 95 – 99.7 Rule or the ?-table (Table A), give a 95% confidence interval (?,?) for ? based on this sample.

? :
 
 
? :
 
 
 

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Advanced Topics in Statistics

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: A small pilot study was conducted to compare cholesterol levels in individuals before and after a lo...

A: Preliminary calculation:Using the EXCEL formula “=NORM.S.INV(1– (0.05/2))”, the z-value for 95% conf...

Q: A personnel office is gathering data regarding working conditions. Employees are given a list of fiv...

A: Given situation:Data of working conditions. This list of five conditions given to employee which mig...

Q: The age of children in kindergarten on the first day of school is uniformly distributed between 4.73...

A: Let X be the random variable uniformly distributed between 4.73 and 5.75 seconds.Denote X as the age...

Q: How many different three-letter words (including nonsense words) can be formed allowing repetition o...

A: From the given information, three letter words formed allowing repetition of letters.Three letter in...

Q: I wanted help walking through this problem in order to gain a better understanding of Normal Probabi...

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any ...

Q: Discuss the differences between probability and nonprobability sampling. What are their comparative ...

A: The differences has been shown in the table

Q: Exercise 5.7.4 A UMass Boston student has earned 55 credits toward his degree but has a GPA of just ...

A: It is given that the GPA for 55 credits is 1.8.The minimum GPA to obtain is 2.Let G be the required ...

Q: Assume the random variable X has a binomial distribution with the given probability of obtaining a s...

A: Given datan = 18p= 0.8Applying Binomial theoremProbability of x success out of n trial is given by

Q: PBS News Hour reported in 2014 that 39.4% of Americans between the ages of 25 and 64 have at least a...

A: It is given that n =55 and p = 0.3940.The probability mass function of binomial distribution is give...