Using the data below Year Flow develop a histogram a prob

Using the data below ( Year & Flow ), develop a histogram; a probability plot, and use chi-square goodness-of-fit test against normal distribution. Based on the analysis, state your conclustion.

Please provide a detailed response, it will be vary helpful. If you are using a software to plot. please provide a title of the software and any commands used to reach your answer. Again , the more detail the easyier it will be for me to understand your answer and check your work . Thank you ! : -^)

Year

1895

Flow (Cfs)

47300

Year

1895

Flow (Cfs)

47300

1896 54400
1897 87200
1898 65700
1899 91500
1900 53500
1901 67800
1902 70000
1903 66900
1904 34700
1905 58000
1906 47000
1907 66300
1908 80900
1909 80000
1910 52300
1911 58000
1912 67200
1913 115000
1914 46100
1915 52400
1916 94300
1917 111000
1918 71700
1919 96100
1920 92500
1921 34100
1922 69000
1923 73400
1924 99100
1925 79200
1926 62600
1927 93700
1928 68700
1929 80100
1930 32300
1931 43100
1932 77000
1933 53600
1934 70800
1935 89400
1936 62600
1937 112000
1938 44000
1939 84300
1940 45000
1941 28400
1942 46000
1943 80400
1944 55000
1945 72900
1946 71200
1947 46800
1948 84100
1949 61300
1950 87100
1951 70500
1952 77700
1953 44200
1954 20600
1955 85000
1956 82900
1957 88700
1958 60200
1959 40300
1960 50500
1961 48800
1962 101000
1963 63800
1964 82500
1965 60300
1966 38900
1967 69900
1968 55200
1969 29400
1970 68400
1971 51700
1972 107000
1973 58600
1974 77900
1975 79600
1976 46300
1977 53400
1978 61800
1979 144000
1980 40600
1981 49600
1982 42900
1983 68800
1984 98400
1985 36500
1986 42100
1987 35100
1988 105000
1989 53600
1990 82900
1991 54600
1992 52100
1993 71000
mean 66538.38
stdev 22320.22

Solution

Using R-software

Flow=c(47300,54400,87200,65700,91500,53500,67800,70000,66900,34700,58000,47000,66300,80900
,80000,52300,58000,67200,115000,46100,52400,94300,111000,71700,96100,92500,34100,69000,73400
,99100,79200,62600,93700,68700,80100,32300,43100,77000,53600,70800,89400,62600,112000,44000
,84300,45000,28400,46000,80400,55000,72900,71200,46800,84100,61300,87100,70500,77700,44200,
20600,85000,82900,88700,60200,40300,50500,48800,101000,63800,82500,60300,38900,69900,55200,
29400,68400,51700,107000,58600,77900,79600,46300,53400,61800,144000,40600,49600,42900,68800,
98400,36500,42100,35100,105000,53600,82900,54600,52100,71000)
hist(Flow, main=\"Histogram of Flow (Cfs)\")

Using Excel

So, we reject the hypothesis.

Up to Freq P(x<=b) P(a<x<=b) Exp freq (O-E)^2/E
20000 0 0.018533 0.018533 1.834785 1.834785
40000 9 0.117223 0.09869 9.770294 0.06073
60000 32 0.384786 0.267563 26.48872 1.146686
80000 31 0.726783 0.341998 33.85775 0.241208
100000 20 0.933084 0.206301 20.42378 0.008793
120000 6 0.991695 0.05861 5.802432 0.006727
140000 0 0.999501 0.007807 0.772865 0.772865
160000 1 0.999986 0.000485 0.047974 18.89257
98.9986 21.12958
degree of freedom 7
X2-crit 14.0671
Using the data below ( Year & Flow ), develop a histogram; a probability plot, and use chi-square goodness-of-fit test against normal distribution. Based on
Using the data below ( Year & Flow ), develop a histogram; a probability plot, and use chi-square goodness-of-fit test against normal distribution. Based on
Using the data below ( Year & Flow ), develop a histogram; a probability plot, and use chi-square goodness-of-fit test against normal distribution. Based on

Get Help Now

Submit a Take Down Notice

Tutor
Tutor: Dr Jack
Most rated tutor on our site