Step 1: Enter the number of degrees of freedom. Step 2: Select one-tailed or two-tailed. O One-tailed O Two-tailed Step 3: Enter the critical value(s). (Round to 3 decimal places.)
Step 1: Enter the number of degrees of freedom. Step 2: Select one-tailed or two-tailed. O One-tailed O Two-tailed Step 3: Enter the critical value(s). (Round to 3 decimal places.)
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
Question

Transcribed Image Text:Student's t Distribution
0.4
Step 1: Enter the number of degrees
of freedom.
0.3+
Step 2: Select one-tailed or two-tailed.
O One-tailed
O Two-tailed
0.2+
Step 3: Enter the critical value(s).
(Round to 3 decimal places.)
0.1+
Step 4: Enter the test statistic.
(Round to 3 decimal places.)
3.
![Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that
the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 1150 Gy (grays). (For comparison, humans cannot
withstand more than 10 Gy.) A random sample of 25 tardigrade colonies found that the amount of gamma radiation needed to sterilize a colony had a sample
mean of 1133 Gy, with a sample standard deviation of 62 Gy. Assume that the population of amounts of gamma radiation needed to sterilize a colony of
tardigrades is approximately normally distributed.
Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support that u, the mean amount
of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1150 Gy.
(a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test.
H: 1
H: ]
O=D0
ローロ
(b) Perform a hypothesis test. The test statistic has a t distribution (so the test is a "t test"). Here is some other information to help you with your test.
In o25 is the value that cuts off an area of 0.025 in the right tail.
Tho -
of the t
-in ai,On bu ±](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf648817-a410-42c0-9aed-d7ed1ec84584%2F00540e18-5a57-42f3-a5df-0df277fd1081%2Fuaw8np_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that
the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 1150 Gy (grays). (For comparison, humans cannot
withstand more than 10 Gy.) A random sample of 25 tardigrade colonies found that the amount of gamma radiation needed to sterilize a colony had a sample
mean of 1133 Gy, with a sample standard deviation of 62 Gy. Assume that the population of amounts of gamma radiation needed to sterilize a colony of
tardigrades is approximately normally distributed.
Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support that u, the mean amount
of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1150 Gy.
(a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test.
H: 1
H: ]
O=D0
ローロ
(b) Perform a hypothesis test. The test statistic has a t distribution (so the test is a "t test"). Here is some other information to help you with your test.
In o25 is the value that cuts off an area of 0.025 in the right tail.
Tho -
of the t
-in ai,On bu ±
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 3 steps

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