SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SAT score of first year students at your college. If you would like to limit the margin of error of your 95% confidence interval to 25 points, how many students should you sample? Make sure to give a whole number answer.

Question
Asked Nov 18, 2019
22 views

SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SAT score of first year students at your college. If you would like to limit the margin of error of your 95% confidence interval to 25 points, how many students should you sample?

 

Make sure to give a whole number answer.

 
check_circle

Expert Answer

star
star
star
star
star
1 Rating
Step 1

Introduction:

The 100 (1 – α) % confidence interval for the population mean, μ, for given population standard deviation, σ is: ( – (/2­) (σ/√n), + (/2) (σ/√n)).

Here, n is the sample size, is the sample mean, and z&...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: #8. Please show TI 84 steps

A: The provided information is:

question_answer

Q: Find the z-score of 89.79 given µ = 10 and σ = 79

A: The Z-score is calculated by using the formula:

question_answer

Q: The recidivism rate for convicted sex offenders is 13%. A warden suspects that this percent is lower...

A: Introduction:Denote p as the true recidivism rate of sex offenders, who are also drug addicts.The nu...

question_answer

Q: A call center company requires it's operators to answer the phone in an average time of 0.17 minutes...

A: Introduction:Denote μ as the true mean time taken by the operators to answer the phone. The desired ...

question_answer

Q: an extensive study conducted in 1980 concluded that the mean mercury level in oysters from the white...

A: Ho :   µ =   0.020      Ha :   µ <   0.020 (claim) (Left tail test)Here, level of Significance, α...

question_answer

Q: Suppose we consider the following model: Xt2 = b0 + b1X2t-1 + ut The estimation of the model provide...

A: The hypotheses are given below:Null hypothesis: H0:B1=0Alternative hypothesis: H1:B1≠0Rejection rule...

question_answer

Q: Do Pinterest shoppers and Facebook shoppers differ with respect to spending behavior? A study of bro...

A: 1. The claim of the problem is testing whether there  is any evidence of a difference in the varianc...

question_answer

Q: Need the answer to question 10.

A: Given that,Population mean = $48000Population standard deviation = $9000

question_answer

Q: find the margin of error for a sample mean, given n=16, s=4, Xbar=17. for a 95% confidence interval.

A: The margin of error for sample mean is given by,