Question

Do drivers follow the posted speed limit of 65 mph on Interstate 270? The following data...

  1. Do drivers follow the posted speed limit of 65 mph on Interstate 270? The following data give the speeds (mph), as measured by radar, of 10 randomly selected cars traveling on Interstate 270:

76

72

80

68

76

74

71

78

82

64

           

            Assume all conditions are met for confidence intervals.

  1. Find a 99% confidence interval for the population mean speed of all drivers on I-270. [3]
  1. Find a 95% confidence interval for the population mean speed of all drivers on I-270. [3]

  1. Find a 90% confidence interval for the population mean speed of all drivers on I-270. [3]

  1. As your confidence level decreased what happened to your confidence interval? [2]

  1. Write a sentence interpreting your 90% confidence interval in the context of this problem. [3]

  1. Based on your confidence interval in (e), do you think drivers follow the posted speed limit of 65 mph on Interstate 270? Explain. [3]

  1. How could we change this study so that the margin of error in our confidence interval decreases without adjusting the confidence level? [2]

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Do drivers follow the posted speed limit of 65 mph on Interstate 270? The following data...
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
  • 2. Data was collected from a highway with a 65 mph speed limit. A speed “gun”...

    2. Data was collected from a highway with a 65 mph speed limit. A speed “gun” sampled 12 random vehicles and found the mean to be 60.67 mph with a standard deviation of 4.08 mph. i. Which model would be used to construct a confidence interval for the mean 2i) speed of all vehicles on that highway? a) students-t b) least squares linear regression c) Binomial d) Normal ii. The standard deviation for this sampling distribution would be calculated using,...

  • 1. Consider the following sample spot speed data. The speeds are in miles per hour Speed...

    1. Consider the following sample spot speed data. The speeds are in miles per hour Speed Grou Lower Limit Upper Limit Mid-point Frequenc 27.5 32.5 37.5 42.5 47.5 52.5 57.5 62.5 67.5 72.5 77.5 82.5 87.5 92.5 25 30 35 40 45 50 22.6 27.6 32.6 37.6 42.6 47.6 52.6 57.6 62.6 67.6 72.6 77.6 82.6 87.6 2 14 25 60 65 70 75 80 85 90 4 (a) Calculate the sample mean speed (b) Calculate the sample median speed...

  • 016 7. The following data give the speeds (mi/hr), as measured by radar of 16 cars...

    016 7. The following data give the speeds (mi/hr), as measured by radar of 16 cars traveling on the interstate 1-15. Assume the population is normal population. 75 72 80 68 76 74 71 78 82 62 65 70 64 79 74 66 a) What is point estimate of the mean and standard deviation of all cars traveling on this highway. b) Compute the 95% confidence interval for the mean speed of all cars traveling on this highway. c) Compute...

  • The California Highway patrol has asked you to assess whether drivers are exceeding the 65-mph speed...

    The California Highway patrol has asked you to assess whether drivers are exceeding the 65-mph speed limit on Route 15 during the hours of 1 a.m. and 6 a.m. The enclosed spreadsheet represents a simple random sample of 20 car speeds that you collected during this time interval. Test the claim at the 2 % significance level that the average speed of drivers exceeds the 65mph speed limit between the hours 1 am and 6 am. 1. What is the...

  • 1) The speed limit on College Terrace is 25 mph. Even after traffic-calming measures, a resident complains that car...

    1) The speed limit on College Terrace is 25 mph. Even after traffic-calming measures, a resident complains that cars still speed. 250 randomly selected cars were clocked with mean speed 25.55 mph and a standard deviation of 3.618. Is the mean speed of all cars greater than 25 mph? Use a significance level of a = 0.05. a) Write the hypotheses. (2 points) b) Perform the appropriate hypothesis test using a significance level of a = 0.05, report the test...

  • The Arizona Department of Transportation (ADOT) is considering changing statewide speed limits from 65 mph to...

    The Arizona Department of Transportation (ADOT) is considering changing statewide speed limits from 65 mph to 75 mph. They wish to perform analysis on p, the proportion of Arizona residents that favor this change. In order to prove that a majority of residents favor the change, ADOT wishes to test the following hypotheses using a level of significance of 0.05. Ho:p = 0.5 Hp > 0.5 ADOT wishes to design the test to have a power of 90% if the...

  • Listed below are speeds (mi/hr) measured from the Southbound traffic on I-280 freeway. The speed limit...

    Listed below are speeds (mi/hr) measured from the Southbound traffic on I-280 freeway. The speed limit for this road is 65 mph. 62 61 61 57 61 54 59 58 59 69 60 67 a) Construct a 95 confidence interval given that the population standard deviation is unknown b) Explain what will happen to the length of the confidence interval if we increased the sample size c) Explain what will happen to the margin of error if we decrease the...

  • 3. The data in the table gives the posted speed limits on a sample of roads...

    3. The data in the table gives the posted speed limits on a sample of roads and the measured speeds of a car on each road. All speeds are in mph Posted 45 50 25 25 30 55 70 70 35 30 45 65 55 Actual 47 47 32 26 38 46 82 65 42 28 45 71 63 3 pts) a. Sketch a scatterplot of the data. You may use your calculator. 9 pts) b. Use your calculator and...

  • 6. A construction zone on a highway has a posted speed limit of 40 Kilometers per...

    6. A construction zone on a highway has a posted speed limit of 40 Kilometers per hour. The speeds of the vehicles passing through this construction zone are normally distributed with a mean of 46 kilometers per hour and a standard deviation of 4 kilometers per hour. Find the percentage of vehicles passing through this construction zone that are: a) exceeding the posted speed limit b) traveling at speeds between 50 and 57 kilometers per hour. 7. A machine at...

  • The Arizona Department of Transportation (ADoT) is considering changing statewide speed limits from 65 mph to...

    The Arizona Department of Transportation (ADoT) is considering changing statewide speed limits from 65 mph to 75 mph. They wish to perform analysis on ?, the proportion of Arizona residents that favor this change. In order to prove that a majority of residents favor the change, ADoT wishes to test the following hypotheses using a level of significance of 0.05. H0: ? = 0.5 H1:? > 0.5 ADoT wishes to design the test to have a power of 90% if...

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