based off the image: calculate the value of the test statistic for the appropriate hypothesis test.

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
based off the image: calculate the value of the test statistic for the appropriate hypothesis test.
Lycopene is a bright red pigment which has been shown to have powerful antioxidant and antícarcinogenic properties. A biological research company
conducts experiments in vwhich seeds from cherry tomatoes are exposed to a series of pulsations of ultra-violet radiation with the aim of triggering a
genetic mutation to increase lycopene production. It is well established from past experiments that the lycopene content for untreated cherry
tomatoes is 12.7 mg/100g. A random sample of 36 treated seeds from a population of seeds of an identical variant was selected and were planted
and grown in identical conditions. The mean lycopene content of the treated seeds was determined via mass spectrometry to be 13.1 mg/100g and a
standard deviation of 1.2. A histogram indicates that the distribution of the lycopene content appears to be roughly normally distributed.
Select the appropriate set of hypotheses to determine if the radiation treatment effectively increases lycopene content in cherry tomatoes.
Select one:
O a
Ho : µ > 12.7 vs. HA : µ = 12.7
Ho : µ = 12.7 vs. HA : µ > 12.7
c.
Ho : µ = 12.7 vs. HA : µ < 12.7
O d. Ho : µ = 13.1 vs. HA :µ# 13.1
O .
Ho : T = 12.7 vs. HA : T > 12.7
Of.
H, : µ = 12.7 vs. HA : µ = 13.1
H, : µ = 13.1 vs. HA : µ > 13.1
H, : = 13.1 vs. HA : ¤ > 13.1
Clear my choice
Transcribed Image Text:Lycopene is a bright red pigment which has been shown to have powerful antioxidant and antícarcinogenic properties. A biological research company conducts experiments in vwhich seeds from cherry tomatoes are exposed to a series of pulsations of ultra-violet radiation with the aim of triggering a genetic mutation to increase lycopene production. It is well established from past experiments that the lycopene content for untreated cherry tomatoes is 12.7 mg/100g. A random sample of 36 treated seeds from a population of seeds of an identical variant was selected and were planted and grown in identical conditions. The mean lycopene content of the treated seeds was determined via mass spectrometry to be 13.1 mg/100g and a standard deviation of 1.2. A histogram indicates that the distribution of the lycopene content appears to be roughly normally distributed. Select the appropriate set of hypotheses to determine if the radiation treatment effectively increases lycopene content in cherry tomatoes. Select one: O a Ho : µ > 12.7 vs. HA : µ = 12.7 Ho : µ = 12.7 vs. HA : µ > 12.7 c. Ho : µ = 12.7 vs. HA : µ < 12.7 O d. Ho : µ = 13.1 vs. HA :µ# 13.1 O . Ho : T = 12.7 vs. HA : T > 12.7 Of. H, : µ = 12.7 vs. HA : µ = 13.1 H, : µ = 13.1 vs. HA : µ > 13.1 H, : = 13.1 vs. HA : ¤ > 13.1 Clear my choice
Expert Solution
steps

Step by step

Solved in 2 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