The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a normal load. A sample of nine motors was tested, and it was found that the mean current was x = 1.36 A, with a sample standard deviation of s = 0.49 A. Do the data indicate that the Toylot claim of 0.8 A is too low? (Use a 1% level of significance.) What are we testing in this problem? O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses. Ο Η9: μ-0.8; H1: μ- 0.8 O Họ: p = 0.8; H1: p = 0.8 Ο Hρ μ 0.8; H: μ > 0.8 Ο Ηρ: μ 0.8; H: μ - 0.8 O Ho: p = 0.8; H1: p > 0.8 O Họ: p = 0.8; H1: p = 0.8 (b) What sampling distribution will you use? What assumptions are you making? O The standard normal, since we assume that x has a normal distribution with unknown o. O The Student's t, since we assume that x has a normal distribution with unknown o. O The standard normal, since we assume that x has a normal distribution with known o. O The Student's t, since we assume that x has a normal distribution with known o. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find (or estimate) the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005
The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a normal load. A sample of nine motors was tested, and it was found that the mean current was x = 1.36 A, with a sample standard deviation of s = 0.49 A. Do the data indicate that the Toylot claim of 0.8 A is too low? (Use a 1% level of significance.) What are we testing in this problem? O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses. Ο Η9: μ-0.8; H1: μ- 0.8 O Họ: p = 0.8; H1: p = 0.8 Ο Hρ μ 0.8; H: μ > 0.8 Ο Ηρ: μ 0.8; H: μ - 0.8 O Ho: p = 0.8; H1: p > 0.8 O Họ: p = 0.8; H1: p = 0.8 (b) What sampling distribution will you use? What assumptions are you making? O The standard normal, since we assume that x has a normal distribution with unknown o. O The Student's t, since we assume that x has a normal distribution with unknown o. O The standard normal, since we assume that x has a normal distribution with known o. O The Student's t, since we assume that x has a normal distribution with known o. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find (or estimate) the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Question
Transcribed Image Text:The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a normal load. A
sample of nine motors was tested, and it was found that the mean current was x = 1.36 A, with a sample standard deviation of s = 0.49 A. Do
the data indicate that the Toylot claim of 0.8 A is too low? (Use a 1% level of significance.)
What are we testing in this problem?
O single mean
O single proportion
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho: u * 0.8; H1: u = 0.8
O Ho: p + 0.8; H1: p = 0.8
Ο H0: μ= 0.8; H: μ > 0.8
Ο H: μ = 0.8; H: μ+ 0.8
O Ho: p = 0.8; Hị: p > 0.8
O Ho: p = 0.8; H1: p = 0.8
%2.
(b) What sampling distribution will you use? What assumptions are you making?
O The standard normal, since we assume that x has a normal distribution with unknown o.
O The Student's t, since we assume that x has a normal distribution with unknown o.
O The standard normal, since we assume that x has a normal distribution with known o.
O The Student's t, since we assume that x has a normal distribution with known o.
What is the value of the sample test statistic? (Round your answer to three decimal places.)
(c) Find (or estimate) the P-value.
O P-value > 0.250
O 0.125 < P-value < 0.250
O 0.050 < P-value < 0.125
O 0.025 < P-value < 0.050
O 0.005 < P-value < 0.025
O P-value < 0.005
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman