An adventure company runs two obstacle courses, Fundash and Coolsprint. The designer of the courses suspects that the mean completion time of Fundash is not equal to the mean completion time of Coolsprint. To test this, she selects 225 Fundash runners and 295 Coolsprint runners. (Consider these as random samples of the Fundash and Coolspring runners.) The 225 Fundash runners complete the course with a mean time of 63.6 minutes and a standard deviation of 3.0 minutes. The 295 Coolsprint runners complete the course with a mean time of 63.0 minutes and a standard deviation of 2.9 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.10 level of significance, is there enough evidence to support the claim that the mean completion time, u, of Fundash is not equal to the mean completion time, ,, of Coolsprint? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H.

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
Question
An adventure company runs two obstacle courses, Fundash and Coolsprint. The designer of the courses suspects that the mean completion time of Fundash is
not equal to the mean completion time of Coolsprint. To test this, she selects 225 Fundash runners and 295 Coolsprint runners. (Consider these as random
samples of the Fundash and Coolspring runners.) The 225 Fundash runners complete the course with a mean time of 63.6 minutes and a standard deviation of
3.0 minutes. The 295 Coolsprint runners complete the course with a mean time of 63.0 minutes and a standard deviation of 2.9 minutes. Assume that the
population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute
them are quite large. At the 0.10 level of significance, is there enough evidence to support the claim that the mean completion time, µ, of Fundash is not
equal to the mean completion time, u,, of Coolsprint? Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H and the alternative hypothesis H,.
H, : 0
H, :0
(b) Determine the type of test statistic to use.
(Choose one)
O=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
ロチロ
O<O
?
(d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.)
| and ||
(e) Can we support the claim that the mean completion time of Fundash is not equal to the mean
completion time of Coolsprint?
OYes oNo
미□
Transcribed Image Text:An adventure company runs two obstacle courses, Fundash and Coolsprint. The designer of the courses suspects that the mean completion time of Fundash is not equal to the mean completion time of Coolsprint. To test this, she selects 225 Fundash runners and 295 Coolsprint runners. (Consider these as random samples of the Fundash and Coolspring runners.) The 225 Fundash runners complete the course with a mean time of 63.6 minutes and a standard deviation of 3.0 minutes. The 295 Coolsprint runners complete the course with a mean time of 63.0 minutes and a standard deviation of 2.9 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.10 level of significance, is there enough evidence to support the claim that the mean completion time, µ, of Fundash is not equal to the mean completion time, u,, of Coolsprint? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H,. H, : 0 H, :0 (b) Determine the type of test statistic to use. (Choose one) O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ロチロ O<O ? (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) | and || (e) Can we support the claim that the mean completion time of Fundash is not equal to the mean completion time of Coolsprint? OYes oNo 미□
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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
  • SEE MORE 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