1. Use a two-sample t test to investigate whether the average June precipitation and pressure in El Niño and non-El Niño years are significantly different. Assume the variances are unequal and that the Gaussian distribution is an adequate approximation to the distribution of the test statistic. TABLE 1. June climate data for Guayaquil Ecuador, 1951-1970. Asterisks indicate El Nino years. PRECIPITATION (mm) PRESSURE (mb) YEAR 1951 43 1009.5 1952 10 1010.9 1953* 4 1010.7 1954 1011.2 1955 2 1011.9 1956 3 1011.2 31 1009.3 1011.1 1012.0 1957* 1958 1959 1960 1011.4 1961 2 1010.9 1962 3 1011.5 1963 1011.0 1964 1965 1011.2 1009.9 4 15 1966 2 1012.5 1967 1011.1 1968 1 1011.8 1969* 127 1009.3 1970 2 1010.6 2. Construct a 95% confidence interval for the difference in average June pressure between El Niño and non-El Niño years.
1. Use a two-sample t test to investigate whether the average June precipitation and pressure in El Niño and non-El Niño years are significantly different. Assume the variances are unequal and that the Gaussian distribution is an adequate approximation to the distribution of the test statistic. TABLE 1. June climate data for Guayaquil Ecuador, 1951-1970. Asterisks indicate El Nino years. PRECIPITATION (mm) PRESSURE (mb) YEAR 1951 43 1009.5 1952 10 1010.9 1953* 4 1010.7 1954 1011.2 1955 2 1011.9 1956 3 1011.2 31 1009.3 1011.1 1012.0 1957* 1958 1959 1960 1011.4 1961 2 1010.9 1962 3 1011.5 1963 1011.0 1964 1965 1011.2 1009.9 4 15 1966 2 1012.5 1967 1011.1 1968 1 1011.8 1969* 127 1009.3 1970 2 1010.6 2. Construct a 95% confidence interval for the difference in average June pressure between El Niño and non-El Niño years.
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
Statistical Methods in Atmospheric Science
Transcribed Image Text:1. Use a two-sample t test to investigate whether the average June precipitation and pressure in El
Niño and non-El Niño years are significantly different. Assume the variances are unequal and
that the Gaussian distribution is an adequate approximation to the distribution of the test
statistic.
TABLE 1. June climate data for Guayaquil Ecuador, 1951-1970. Asterisks indicate El Nino years.
PRECIPITATION (mm)
PRESSURE (mb)
YEAR
1951
43
1009.5
1952
10
1010.9
1953*
4
1010.7
1954
1011.2
1955
1011.9
1956
3
1011.2
1957*
31
1009.3
1958
1011.1
1012.0
1959
1960
1011.4
1961
1010.9
1962
3
1011.5
1963
1011.0
1964
1965
1011.2
1009.9
4
15
1966
2
1012.5
1967
1011.1
1968
1
1011.8
1969*
127
1009.3
1970
2
1010.6
2. Construct a 95% confidence interval for the difference in average June pressure between El Niño
and non-El Niño years.
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 2 steps with 2 images
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