According to a study on reptiles from decades ago, the mean lifespan of giant Aldabra tortoises in the wild is 89.2 years. Many of the areas where these tortoises live have become polluted with plastic waste. Because of this, a biologist claims the mean lifespan of these tortoises has decreased. To test this claim, the biologist conducted a study of 17 randomly selected, giant Aldabra tortoises in the wild. In the study, the sample mean lifespan was 88.3 years with a sample standard deviation of 1.8 years. Assume that the population of lifespans of giant Aldabra tortoises in the wild 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 the claim that u, the mear lifespan of giant Aldabra tortoises in the wild, is now less than 89.2 years. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. H: 0 O

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
100%
According to a study on reptiles from decades ago, the mean lifespan of giant Aldabra tortoises in the wild is 89.2 years. Many of the areas where these
tortoises live have become polluted with plastic waste. Because of this, a biologist claims the mean lifespan of these tortoises has decreased. To test this claim,
the biologist conducted a study of 17 randomly selected, giant Aldabra tortoises in the wild. In the study, the sample mean lifespan was 88.3 years with a
sample standard deviation of 1.8 years. Assume that the population of lifespans of giant Aldabra tortoises in the wild 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 the claim thatµ, the meam
lifespan of giant Aldabra tortoises in the wild, is now less than 89.2 years.
(a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test.
H:
O<O
OSO
D=D0
(b) Perform at test and find the p-value.
Transcribed Image Text:According to a study on reptiles from decades ago, the mean lifespan of giant Aldabra tortoises in the wild is 89.2 years. Many of the areas where these tortoises live have become polluted with plastic waste. Because of this, a biologist claims the mean lifespan of these tortoises has decreased. To test this claim, the biologist conducted a study of 17 randomly selected, giant Aldabra tortoises in the wild. In the study, the sample mean lifespan was 88.3 years with a sample standard deviation of 1.8 years. Assume that the population of lifespans of giant Aldabra tortoises in the wild 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 the claim thatµ, the meam lifespan of giant Aldabra tortoises in the wild, is now less than 89.2 years. (a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test. H: O<O OSO D=D0 (b) Perform at test and find the p-value.
) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the biologist.
O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough
evidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.2 years.
O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not
enough evidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.2
years.
O since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to
support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.2 years.
Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough
evidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.2 years.
Transcribed Image Text:) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the biologist. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.2 years. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.2 years. O since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.2 years. Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.2 years.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
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