Question

In: Statistics and Probability

Year Name MinPressure_before Gender_MF Category alldeaths 1950 Easy 958 1 3 2 1950 King 955 0...

Year    Name    MinPressure_before      Gender_MF       Category        alldeaths
1950    Easy    958     1       3       2
1950    King    955     0       3       4
1952    Able    985     0       1       3
1953    Barbara 987     1       1       1
1953    Florence        985     1       1       0
1954    Carol   960     1       3       60
1954    Edna    954     1       3       20
1954    Hazel   938     1       4       20
1955    Connie  962     1       3       0
1955    Diane   987     1       1       200
1955    Ione    960     0       3       7
1956    Flossy  975     1       2       15
1958    Helene  946     1       3       1
1959    Debra   984     1       1       0
1959    Gracie  950     1       3       22
1960    Donna   930     1       4       50
1960    Ethel   981     1       1       0
1961    Carla   931     1       4       46
1963    Cindy   996     1       1       3
1964    Cleo    968     1       2       3
1964    Dora    966     1       2       5
1964    Hilda   950     1       3       37
1964    Isbell  974     1       2       3
1965    Betsy   948     1       3       75
1966    Alma    982     1       2       6
1966    Inez    983     1       1       3
1967    Beulah  950     1       3       15
1968    Gladys  977     1       2       3
1969    Camille 909     1       5       256
1970    Celia   945     1       3       22
1971    Edith   978     1       2       0
1971    Fern    979     1       1       2
1971    Ginger  995     1       1       0
1972    Agnes   980     1       1       117
1974    Carmen  952     1       3       1
1975    Eloise  955     1       3       21
1976    Belle   980     1       1       5
1977    Babe    995     1       1       0
1979    Bob     986     0       1       1
1979    David   970     0       2       15
1979    Frederic        946     0       3       5
1980    Allen   945     0       3       2
1983    Alicia  962     1       3       21
1984    Diana   949     1       2       3
1985    Bob     1002    0       1       0
1985    Danny   987     0       1       1
1985    Elena   959     1       3       4
1985    Gloria  942     1       3       8
1985    Juan    971     0       1       12
1985    Kate    967     1       2       5
1986    Bonnie  990     1       1       3
1986    Charley 990     0       1       5
1987    Floyd   993     0       1       0
1988    Florence        984     1       1       1
1989    Chantal 986     1       1       13
1989    Hugo    934     0       4       21
1989    Jerry   983     0       1       3
1991    Bob     962     0       2       15
1992    Andrew  922     0       5       62
1993    Emily   960     1       3       3
1995    Erin    973     1       2       6
1995    Opal    942     1       3       9
1996    Bertha  974     1       2       8
1996    Fran    954     1       3       26
1997    Danny   984     0       1       10
1998    Bonnie  964     1       2       3
1998    Earl    987     0       1       3
1998    Georges 964     0       2       1
1999    Bret    951     0       3       0
1999    Floyd   956     0       2       56
1999    Irene   987     1       1       8
2002    Lili    963     1       1       2
2003    Claudette       979     1       1       3
2003    Isabel  957     1       2       51
2004    Alex    972     0       1       1
2004    Charley 941     0       4       10
2004    Frances 960     1       2       7
2004    Gaston  985     0       1       8
2004    Ivan    946     0       3       25
2004    Jeanne  950     1       3       5
2005    Cindy   991     1       1       1
2005    Dennis  946     0       3       15
2005    Ophelia 982     1       1       1
2005    Rita    937     1       3       62
2005    Wilma   950     1       3       5
2005    Katrina 902     1       3       1833
2007    Humberto        985     0       1       1
2008    Dolly   963     1       1       1
2008    Gustav  951     0       2       52
2008    Ike     935     0       2       84
2011    Irene   952     1       1       41
2012    Isaac   965     0       1       5
2012    Sandy   945     1       2       159
                                        

Open Hurricane data.

SETUP: Is it reasonable to assume that average hurricane pressure for category 4 is different from that of category 1? Given the data, your job is to check if this assertion is indeed reasonable or not. HINT: Read Lecture 24.

19. What would be the correct Null-Hypothesis?

  • a. Data related to two different categories should not be related.
  • b. The population averages are equal.
  • c. The slope of the regression line is equal to zero.
  • d. None of these.

20. The P-value is 3.33E-09. What can be statistically concluded?

  • a. We reject the Null Hypothesis.
  • b. We accept the Null Hypothesis.
  • c. We cannot reject the Null Hypothesis.
  • d. None of these.

21. Write a one-line additional comment.

  • a. We cannot conclude that data related to two different hurricane categories are related.
  • b. We are confident that hurricanes with category 4 has different pressure than those of category 1.
  • c. We cannot conclude that hurricanes with category 4 has lower pressure than those of category 1.
  • d. None of these.

Solutions

Expert Solution

Step 1: Put the data as shown below

Step 2 : Filter category 4 hurricane and find the mean and standard deviation as shown below.

Step 3 Filter category 1 hurricane and find the mean and standard deviation as shown below.


Hypothesis testing.

Let sample 1 be category 4 hurricance
Let sample 2 be category 1 hurricance.

Conclusion : Yes there is sufficient evidence to support that   average hurricane pressure for category 4 is different from that of category 1

19. What would be the correct Null-Hypothesis?
b. The population averages are equal.

20. The P-value is 3.33E-09. What can be statistically concluded?
a. We reject the Null Hypothesis.
.
21. Write a one-line additional comment.
b. We are confident that hurricanes with category 4 has different pressure than those of category 1.


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