Question

According to a 2015 article reported in USA Today, the average age when college-educated students marry...

According to a 2015 article reported in USA Today, the average age when college-educated students marry for the first time is at age 25 years. A random sample of 25 college-educated adults yielded the following information about the ages of when they first married: x̄ = 26.3 years and s = 4.2 years. Consider a test to determine whether the average age when college-educated adults get married has increased.

a. What is your point estimate and standard error for this sample?

b. Using your data find a 98% confidence interval for the mean age when college-educated adults first marry.

c. Using your data find a 90% confidence interval for the mean age when college-educated adults first marry.

d. Other than changing your confidence level percentage, what is one other thing you could do to reduce the width of the confidence interval?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

hii... although I am trying to provide the detailed answer to you but if you have any doubt please ask by comment. your rating encourage us to provide the detailed and effective answers so please like the answer. thanks..

Add a comment
Know the answer?
Add Answer to:
According to a 2015 article reported in USA Today, the average age when college-educated students marry...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 1. Between 1900 and 2000, then mean age at which men in the US (who marry)...

    1. Between 1900 and 2000, then mean age at which men in the US (who marry) get married for the first time had a mean of 24.8 years. The historical and current standard deviation of age of first marriage is 2.9 years. Since 2000, for a sample of 96 men, the mean age of marriage is 25.6 years. Find the 95% Confidence interval for the mean age men marry since 2000. a. What does the confidence interval tell us about...

  • A random sample of 31 students at a community college showed an average age of 25...

    A random sample of 31 students at a community college showed an average age of 25 years. Assume the ages of all students at the college are normally distributed with a standard deviation of 1.8 years The 98% confidence interval for the average age of all students at this college is (Round your answers to 3 decimal places.) 1 Point Answer From 24.248 To 25.752

  • An admissions director wants to estimate the mean age of all students enrolled at a college....

    An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.7 years of the population mean. Assume the population of ages is normally distributed. ​(a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 1.8 years. ​(b) The sample mean is 20 years of age. Using the minimum sample size with a 90% level of​ confidence,...

  • Students in an introductory statistics class were asked to report the age of their mothers when...

    Students in an introductory statistics class were asked to report the age of their mothers when they were born. Summary statistics include Sample size: 28 students Sample mean: 29.643 years Sample standard deviation: 4.564 years a. Calculate the standard error of this sample mean. b. Determine and interpret a 90% confidence interval for the mother’s mean age (at student’s birth) in the population of all students at this university. c. How would a 99% confidence interval compare to the 90%...

  • Students in an introductory statistics class were asked to report the age of their mothers when...

    Students in an introductory statistics class were asked to report the age of their mothers when they were born. Summary statistics include Sample size: 28 students Sample mean: 29.643 years Sample standard deviation: 4.564 years a. Calculate the standard error of this sample mean. b. Determine and interpret a 90% confidence interval for the mother’s mean age (at student’s birth) in the population of all students at this university. c. How would a 99% confidence interval compare to the 90%...

  • A college admissions director wishes to estimate the mean age of all students currently enrolled. In...

    A college admissions director wishes to estimate the mean age of all students currently enrolled. In a random sample of 16 students, the mean age is found to be 21.8 years. From past studies, the ages of enrolled students are normally distributed with a standard deviation of 10.1 years. Construct a 90% confidence interval for the mean age of all students currently enrolled. 1. The critical value: 2. The standard deviation of the sample mean: 3. The margin of error:...

  • A college admissions director wishes to estimate the mean age of all students currently enrolled. In...

    A college admissions director wishes to estimate the mean age of all students currently enrolled. In a random sample of 24 students, the mean age is found to be 23.1 years. From past studies, the ages of enrolled students are normally distributed with a standard deviation of 10.6 years. Construct a 90% confidence interval for the mean age of all students currently enrolled. 1. The critical value: 2. The standard deviation of the sample mean: 3. The margin of error:...

  • A college admissions director wishes to estimate the mean age of all students currently enrolled. In...

    A college admissions director wishes to estimate the mean age of all students currently enrolled. In a random sample of 16 students, the mean age is found to be 21.8 years. From past studies, the ages of enrolled students are normally distributed with a standard deviation of 10.1 years. Construct a 90% confidence interval for the mean age of all students currently enrolled. 1. The critical value: 2. The standard deviation of the sample mean: 3. The margin of error

  • An admissions director wants to estimate the mean age of all students enrolled at a college....

    An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.1 years of the population mean. Assume the population of ages is normally distributed (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 1.7 years (b) The sample mean is 21 years of age. Using the minimum sample size with a 90% level of confidence,...

  • A random sample of 36 students at a community college showed an average age of 25...

    A random sample of 36 students at a community college showed an average age of 25 years. Assume the ages of all stodents at the college are normally dists confidence interval for the average age of all students at this college is distributed with a standard deviation of 1.8 years. The 98% a 24.301 to 25.699 b.23.200 to 26.800 23.236 to 26.764 d 24.385 t0 25.615 mail Instructor estions aseb06t.9.001 More evidence against Ho is indicated by O a. lower...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT