Question

Question 1 Construct a 95% confidence interval for the average value of y for the following data. x 12 21 288 20 y 17 15 22 19 24 Use x = 25, se 3.94, and the equation of the regression line, y = 16.5 + 0.162x Do not round the intermediate values. Round your answers to 2 decimal places.)

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

Ans:

degree of freedom=5-2=3

critical t value=tinv(0.05,3)=3.182

y'(25)=16.5+0.162*25=20.55

95% confidence interval for average value of y

=20.55+/-3.182*3.94

=20.55+/-12.54

=(8.01,33.09)

Add a comment
Know the answer?
Add Answer to:
Question 1 Construct a 95% confidence interval for the average value of y for the following...
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
  • Question Help 9.3.26 Construct a 95% prediction interval for the medan age of trucks in use...

    Question Help 9.3.26 Construct a 95% prediction interval for the medan age of trucks in use when the median age of cars is 8.7 years. The equation of the regression line is 0198x 5089 and the standard ernor of estimate is Cars, x Trucks, y 0.199. 9.1 8.3 6.5 6.5 6.1 65 58 6 8 Round the final answer to three decimal places as needed. Round all intermediste values to three decimal places as needed.)

  • Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the...

    Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the point estimate. Assume the data come from a normally distributed population. 13.4 11.6 11.9 12.9 12.5 11.4 12.0 11.7 11.8 13.4 (Round the intermediate values to 4 decimal places. Round your answers to 2 decimal places.) 90% confidence interval: ______ ≤ μ ≤ ______ 95% confidence interval: ______ ≤ μ ≤ ______ 99% confidence interval: ______ ≤ μ ≤ ______ The point estimate is...

  • Current Attempt in Progress Construct 90%, 95%, and 99% confidence intervals to estimate from the following...

    Current Attempt in Progress Construct 90%, 95%, and 99% confidence intervals to estimate from the following data. State the point estimate. Assume the data come from a normally distributed population 12.4 11.6 11.9 12.9 12.5 11.4 120 11.7 118 12.4 Appendix A Statistical Tables (Round the intermediate values to 4 decimal places. Round your answers to 2 decimal places.) SUS 90% confidence interval: SM 95% confidence interval: sus 99% confidence interval: The point estimate is

  • Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the...

    Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the point estimate. Assume the data come from a normally distributed population. 12.1 11.6 11.9 12.3 12.5 11.4 12.0 11.7 11.8 12.1 Appendix A Statistical Tables (Round the intermediate values to 4 decimal places. Round your answers to 2 decimal places.) 90% confidence interval: ≤ μ ≤ 95% confidence interval: ≤ μ ≤ 99% confidence interval: ≤ μ ≤ The point estimate is .

  • Construct a 90% confidence interval for the population average home sale price in Whatcom county. (b)...

    Construct a 90% confidence interval for the population average home sale price in Whatcom county. (b) What does the confidence interval mean? (c) How is the confidence interval related to the Central Limit Theorem? (d) What is the difference between a hypothesis test and a confidence interval? House Price 1 819500 2 499950 3 569000 4 220000 5 110000 6 499999 7 389900 8 399000 9 650000 10 459000 11 975000 12 749000 13 848000 14 529000 15 325000 16...

  • Find the critical value za/2 needed to construct a confidence interval with level 95%.

    Find the critical value za/2 needed to construct a confidence interval with level 95%. Round the answer to two decimal places. The critical value for the 95% confidence level is _______ .

  • second part: What assumptions need to be made about this population? Construct a 95% confidence interval to estimat...

    second part: What assumptions need to be made about this population? Construct a 95% confidence interval to estimate the population mean using the data below, X = 22 s=4.8 n 18 What assumptions need to be made about this population? The 95% confidence interval for the population mean is from a lower limit of (Round to two decimal places as needed.)

  • Use the given set of points to construct a 95% confidence interval for the population slope...

    Use the given set of points to construct a 95% confidence interval for the population slope B1 8 6 6 12 14 11 V 21 18 21 21 28 28 24 PC Based on the data, the following are computed: x = 71, y = 176, x2 = 703, 2y = 4016, and xy = 1658 O 9.8187< B, <10.7988 0.8763 < B1 <1.7584 0.8273 < B1 <1.8074 0.8028 B, <1.8319

  • Construct a 99% confidence interval to estimate the population mean using the data below. X =...

    Construct a 99% confidence interval to estimate the population mean using the data below. X = 46 o = 12 n42 With 99% confidence, when n = 42 the population mean is between a lower limit of (Round to two decimal places as needed.) and an upper limit of Construct a 95% confidence interval to estimate the population mean with X = 102 and o = 25 for the following sample sizes. a) n = 32 b) n = 45...

  • Current Attempt in Progress Construct 90%, 95%, and 99% confidence intervals to estimate μ from the...

    Current Attempt in Progress Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the point estimate. Assume the data come from a normally distributed population. 13.3 11.6 11.9 13.1 12.5 11.4 12.0 11.7 11.8 13.3 Appendix A Statistical Tables (Round the intermediate values to 4 decimal places. Round your answers to 2 decimal places.) 90% confidence interval: enter the lower limit of the 90% confidence interval  ≤ μ ≤ enter the upper limit of the...

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