Question

A random sample of vehicles n=36 were selected and fitted with a new brake design. a standardized...

A random sample of vehicles n=36 were selected and fitted with a new brake design. a standardized breaking test was then performed on all the vehicles and the stopping distance was recorded. the population stopping distance using this test is a mean of 65 ft with a standard deviation of 12 ft. you find the mean stopping distance for your sample is 60 ft. your job is to determine if the new brake design significantly decreased the stopping distance of these vehicles at an alpha level of .05

1. compute the test statistic (z test) for this sample.

2. what is the z critical value for a one tailed (directional) z test in the negative direction with an alpha = .05

3. what is your statistical decision and conclusion regarding the effectiveness of the new brake design?

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

Pee Sample mean ←-60 1 1236 tne tailed. Koit =-1,645 The test Mataticマlies en the aepdien7eabr . ho reject Ho Thes ciunt wid

Add a comment
Know the answer?
Add Answer to:
A random sample of vehicles n=36 were selected and fitted with a new brake design. a standardized...
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
  • A random sample of vehicles (n=36) were selected and fitted with a new brake design. A standardized braking test was then performed on all the vehicles and the stopping distances were recorded. The po...

    A random sample of vehicles (n=36) were selected and fitted with a new brake design. A standardized braking test was then performed on all the vehicles and the stopping distances were recorded. The population stopping distance using this test is a mean of μ=65 feet with a standard deviation of σ= 12 feet. You find that the mean stopping distance for your sample is 60 feet. Your job is too determine is the new brake design significantly decreased the stopping...

  • Last fall, a sample of n = 36 freshmen was selected to participate in a new...

    Last fall, a sample of n = 36 freshmen was selected to participate in a new 4-hour training program designed to improve study skills. To evaluate the effectiveness of the new program, the sample was compared with the rest of the freshman class. All freshmen must take the same English Language Skills course, and the mean score on the final exam for the entire freshman class was μ = 74.The students in the new program had a mean score of...

  • A sample of n = 16 individuals is selected from a population with µ = 40...

    A sample of n = 16 individuals is selected from a population with µ = 40 and σ = 12, and a treatment is administered to the sample. After treatment, the sample mean is M = 42. You are asked to determine if the sample is still the same as the population. Using an alpha of .05 and a directional (one-tailed) hypothesis because you expect an increase in your sample mean due to the treatment, conduct a one-sample z-test and...

  • this is a single sample t test problem this is math Assignment #11 Single Sample t-Test...

    this is a single sample t test problem this is math Assignment #11 Single Sample t-Test What factor determines whether you should use a z-test or a t-test statistic for a hypothesis test? 11.1 A sample is selected from a population mean of u 30. A treatment is administered to the individuals in the sample and, after treatment, the sample mean found to be M 11.2 = 31.3 with a sample variance of s2 9 If the sample consists of...

  • A new design for the braking system on a certain type of car has been proposed. For the current system, the true average...

    A new design for the braking system on a certain type of car has been proposed. For the current system, the true average braking distance at 40 mph under specified conditions is known to be 120 ft. It is proposed that the new design be implemented only if sample data strongly indicates a reduction in true average braking distance for the new design. (b) Suppose braking distance for the new system is normally distributed with o = 11. Let X...

  • To test the effectiveness of a treatment, a sample of n = 36 people is selected...

    To test the effectiveness of a treatment, a sample of n = 36 people is selected from a normal population with mean of μ = 60. After the treatment is administered to the individuals in the sample, the sample mean is found to be M = 55. (a) If the population standard deviation is σ = 13, can you conclude that the treatment has a significant effect? Use a two-tailed test with α = 0.05. (Round your answers to two...

  • A new design for the braking system on a certain type of car has been proposed....

    A new design for the braking system on a certain type of car has been proposed. For the current system, the true average braking distance at 40 mph under specified conditions is known to be 120 ft. It is proposed that the new design be implemented only if sample data strongly indicates a reduction in true average braking distance for the new design. (a) Define the parameter of interest. μ = true average braking distance for the old design p̂...

  • For my PSY230 course, I started a new practice of offering extra credit for making an...

    For my PSY230 course, I started a new practice of offering extra credit for making an appointment with the Statistics and Methods Lab. The goal is to help students feel more positive toward statistics through one-on-one assistance and therefore feel more comfortable in the course. In order to see if this new element was effective, I compared results from a statistics attitude survey given to my current class to the existing pool of past statistics attitude surveys from all my...

  • (Note: Be sure and show a diagram of the research design. Also show all steps and...

    (Note: Be sure and show a diagram of the research design. Also show all steps and calculations you made for each test following the process outlined in the z-test formula sheet handout. What statistical decision do you make in each case? Finally report your results professionally in APA format (see last step of the formula sheet for this module.) 10.2 Researchers at a National Weather Center in the northeastern United States recorded the number of 90 degree days each year...

  • Suppose eduaction dept of New York State is contemplating whether the state of Ny Receives a...

    Suppose eduaction dept of New York State is contemplating whether the state of Ny Receives a significantly different amount of public school funding (per student) than the USA average. They find that the USA mean public school yearly funding is $6800per student per year with a standard deviation of $400. Suppose the dept collects a sample (n=100) from ny and determines that the sample mean for NY (per student, per year) is $6873. Use the z test to run a...

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