Question

A student researcher compares the ages of cars owned by students and cars owned by faculty...

A student researcher compares the ages of cars owned by students and cars owned by faculty at a local state college. A sample of 78 cars owned by students had an average age of 5.04 years. A sample of 118 cars owned by faculty had an average age of 8 years. Assume that the population standard deviation for cars owned by students is 3.06 years, while the population standard deviation for cars owned by faculty is 3.24 years. Determine the 98%

confidence interval for the difference between the true mean ages for cars owned by students and faculty.

Step 2 of 3 :

Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places.

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

Answer

Given that

z critical for 98% confidence interval is 2.32635

Margin of error =

Add a comment
Know the answer?
Add Answer to:
A student researcher compares the ages of cars owned by students and cars owned by faculty...
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
  • 7. A group of university students are interested in comparing the average age of cars owned...

    7. A group of university students are interested in comparing the average age of cars owned by students and the average age of cars owned by faculty. They randomly selected 25 cars that are own by students and 20 cars that are owned by faculty. The average age and standard deviation obtained from the students' cars are 6.78 years and 5.21 years, respectively. The sample of faculty cars produced a mean and a standard deviation of 5.86 years, and 2.72....

  • A researcher compares the effectiveness of two different instructional methods for teaching anatomy. A sample of...

    A researcher compares the effectiveness of two different instructional methods for teaching anatomy. A sample of 59 students using Method 1 produces a testing average of 85.5. A sample of 31 students using Method 2 produces a testing average of 74.4. Assume that the population standard deviation for Method 1 is 19, while the population standard deviation for Method 2 is 7.55. Determine the 98% confidence interval for the true difference between testing averages for students using Method 1 and...

  • 7. A student researcher compares the heights of men and women from the student body of...

    7. A student researcher compares the heights of men and women from the student body of a certain college in order to estimate the difference in their mean heights. A random sample of 14 men had a mean height of 67.7 inches with a standard deviation of 3.06 inches. A random sample of 17 women had a mean height of 64.7 inches with a standard deviation of 1.97 inches. Determine the 90% confidence interval for the true mean difference between...

  • Randomly selected 17 student cars have ages with a mean of 7.9 years and a standard...

    Randomly selected 17 student cars have ages with a mean of 7.9 years and a standard deviation of 3.6 years, while randomly selected 18 faculty cars have ages with a mean of 5 years and a standard deviation of 3.5 years. Construct a 95% confidence interval estimate of the difference μs−μf, where μs is the mean age of student cars and μf is the mean age of faculty cars.

  • Randomly selected 20 student cars (population 1) have ages with a mean of 7 years and...

    Randomly selected 20 student cars (population 1) have ages with a mean of 7 years and a standard deviation of 3.6 years, while randomly selected 22 faculty cars (population 2) have ages with a mean of 5.4 years and a standard deviation of 3.5 years. (For the purposes of this exercise, the two populations are assumed to be normally distributed.) 1. Use a 0.01 significance level to test the claim that student cars are older than faculty cars. The test...

  • A student researcher compares the heights of men and women from the student body of a...

    A student researcher compares the heights of men and women from the student body of a certain college in order to estimate the difference in their mean heights. A random sample of 12 men had a mean height of 70.7 inches with a standard deviation of 2.41 inches. A random sample of 17 women had a mean height of 62.7 inches with a standard deviation of 3.07 inches. Determine the 98 % confidence interval for the true mean difference between...

  • Randomly selected 80 student cars have ages with a mean of 8 years and a standard...

    Randomly selected 80 student cars have ages with a mean of 8 years and a standard deviation of 3.6 years, while randomly selected 95 faculty cars have ages with a mean of 5.4 years and a standard deviation of 3.7 years. 1.    Use a 0.03 significance level to test the claim that student cars are older than faculty cars. The test statistic is   The critical value is   Is there sufficient evidence to support the claim that student cars are older than...

  • (1 point) Randomly selected 20 student cars (population 1) have ages with a mean of 8...

    (1 point) Randomly selected 20 student cars (population 1) have ages with a mean of 8 years and a standard deviation of 3.4 years, while randomly selected 22 faculty cars (population 2) have ages with a mean of 5.7 years and a standard deviation of 3.3 years. (For the purposes of this exercise, the two populations are assumed to be normally distributed.) Use a 0.03 significance level to test the claim that student cars are older than faculty cars The...

  • (1 pt) Randomly selected 22 student cars have ages with a mean of 7.6 years and...

    (1 pt) Randomly selected 22 student cars have ages with a mean of 7.6 years and a standard deviation of 3.4 years, while randomly selected 10 faculty cars have ages with a mean of 5.4 years and a standard deviation of 3.5 years. 1. Use a 0.05 significance level to test the claim that student cars are older than faculty cars. (a) The test statistic is (b) The critical value is (c) Is there sufficient evidence to support the claim...

  • (1 point) Randomly selected 20 student cars (population 1) have ages with a mean of 7.8...

    (1 point) Randomly selected 20 student cars (population 1) have ages with a mean of 7.8 years and a standard deviation of 3.4 years, while randomly selected 22 faculty cars (population 2) have ages with a mean of 5.2 years and a standard deviation of 3.5 years. (For the purposes of this exercise, the two populations are assumed to be normally distributed.) 1. Use a 0.04 significance level to test the claim that student cars are older than faculty cars....

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