Question

Take a sample of 40 ACT scores with a sample mean of 21 and a known...

Take a sample of 40 ACT scores with a sample mean of 21 and a known population standard deviation of 5.

Construct a 95% Confidence Interval for the mean ACT score.

Homework Answers

Answer #1

n = 40

SE = /

= 5/

= 0.7906

= 0.05

From Table, critical values of Z = 1.96

Confidence Interval:

21 (1.96 X 0.7906)

= 21 1.5495

= ( 19.4505 ,22.5495)

Confidence Interval:

19.4505 <   < 22.5495

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
2. A sample of ACT scores for 20 students in Basic Math revealed a mean score...
2. A sample of ACT scores for 20 students in Basic Math revealed a mean score of 10 with a standard deviation of 3. Find a 96 percent confidence interval for the mean ACT score for all basic math students.
Given a random sample of 15 HW scores with the sample mean 82. If it is...
Given a random sample of 15 HW scores with the sample mean 82. If it is known that the HW scores follow normal distribution with standard deviation 5, what is the 95% confidence interval for the mean HW score? (76.5, 87.5) (77.5, 84.5) (78.5, 85.5) (79.5, 84.5)
a) If a sample of SAT scores for 20 student has a score mean of 500...
a) If a sample of SAT scores for 20 student has a score mean of 500 with a standard deviation of 48. What is the 99% Confidence interval for the true mean? b) The birth weights in a population are normally distributed with a standard deviation of 13 oz. If sample of 25 was taken and its mean was 105, what is the 95% Confidence interval lower bound for the true mean?
A simple random sample is drawn from a population for estimating the mean of the population....
A simple random sample is drawn from a population for estimating the mean of the population. The mean from the sample is 25.6 and the sample size is 60.\ 1. If the population standard deviation is known to be 10.5, construct a 95% confidence interval for the population mean. 2. If the population standard deviation is not known but the sample standard deviation is calculated to be 11.5, construct a 95% confidence interval for the population mean. 3. Do we...
Suppose scores exams in statistics with an unknown population mean and a sample standard deviation of...
Suppose scores exams in statistics with an unknown population mean and a sample standard deviation of 2 points. A random sample of 16 scores is taken and gives a sample mean. (sample mean score) of 8. Find the confidence interval estimate for the population mean test score ( the mean score of all tests). Find a 90% confidence interval for the true (population) mean of statistics test scores.
a random sample of 40 transmission replavement costs find the mean to be $2520.00. Assume the...
a random sample of 40 transmission replavement costs find the mean to be $2520.00. Assume the population standard deviation is $400.00. A 95% confidence interval for the population mean repair cost is (2396.0,2644.0) Change the sample to n=80. Construct a 95% confidence interval for the population mean repair cost. which confidence interval its wider?
ACT and SAT scores are both known to be normally distributed. In 2010, the mean and...
ACT and SAT scores are both known to be normally distributed. In 2010, the mean and standard deviation for the ACT were μ=21 and σ=7, respectively. The mean and standard deviation for the SAT were μ=1510 and σ=310, respectively. a. What ACT score would place a student in the same percentile as a student who scored 1980 on the SAT in 2010? (In other words, what ACT score is "equivalent" to an SAT score of 1980?) Round your answer to...
ACT and SAT scores are both known to be normally distributed. In 2017, the mean and...
ACT and SAT scores are both known to be normally distributed. In 2017, the mean and standard deviation for the ACT were μ=20 and σ=6, respectively. The mean and standard deviation for the SAT were μ=1060 and σ=200, respectively. a. What ACT score would place a student in the same percentile as a student who scored 1370 on the SAT in 2010? (In other words, what ACT score is "equivalent" to an SAT score of 1370?) Round your answer to...
A random sample of 40 home theater system has a mean price of $142.00. Assume the...
A random sample of 40 home theater system has a mean price of $142.00. Assume the population standard deviation is $24.10. Use this information to a construct a 95% confidence interval for the population mean. a. The critical corresponding to 95% level of confidence is ___________.
A random sample of 40 students has a mean annual earnings of $3120. Assume the population...
A random sample of 40 students has a mean annual earnings of $3120. Assume the population standard deviation is $677. Construct a 95% confidence interval for the population mean, μ
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT