Suppose that 14 children, who were learning to ride two-wheel bikes, were surveyed to determine how long they had to use training wheels. It was revealed that they used them an average of eleven months with a sample standard deviation of two months. Assume that the underlying population distribution is normal.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
Suppose that 14 children, who were learning to ride two-wheel bikes, were surveyed to determine how long they had to use training wheels. It was revealed that they used them an average of eleven months with a sample standard deviation of two months. Assume that the underlying population distribution is normal.

  • Part (a)

    (i) Enter an exact number as an integer, fraction, or decimal.
    x = 


    (ii) Enter an exact number as an integer, fraction, or decimal.
    sx = 


    (iii) Enter an exact number as an integer, fraction, or decimal.
    n = 


    (iv) Enter an exact number as an integer, fraction, or decimal.
    n − 1 = 
  • Part (b)

     
  • Part (c)

     
     
  • Part (d)

    Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.)
     
     
     


    Explain your choice.
    Construct a 99% confidence interval for the population mean length of time using training wheels.
    (i) State the confidence interval. (Round your answers to two decimal places.)
     
      ,  
     


    (ii) Sketch the graph. (Round your answers to two decimal places. Enter your ?/2 to three decimal places.)
     
    CL = 
     
    ?
    2
     = 
     
    ?
    2
     = 
         
    (iii) Calculate the error bound. (Round your answer to two decimal places.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Continuous Probability Distribution
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.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman