# Need help with b and c please.

Need help with b and c please.

Exercise 4A
Limit your attention to the most “recent” temperature data, (which we define as years 1990-
2013), for New York City. Answer the following questions:
a) For how many years during the recent period, did the annual temperature rise above the
historical mean calculated for the entire period? Does this represent a reasonable, relatively
large or relatively small percentage of the recent years?
b) Of the 25 warmest years in recorded history, what percentage occurs during the recent
period? Do you think the recent period has more or less than its fair share of warmer years?
(Hint: It may help to re-sort the data according to temperature).
c) Is the mean temperature for the recent period higher or lower than that of the entire period?
Calculate the z-score for the recent mean based on the mean and standard deviation for the
entire period. What does the value of the z-score tell you about the difference between the
two means?
d) Draw a Box Plot for the recent years and place it next to the Box Plot obtained from the data
corresponding to the years prior to 1990. Are there any noteworthy differences between the
two?
e) Write a paragraph to summarize your findings: are NYC annual temperatures notably
different in recent times from what they were in the earlier part of the observation period. In
what way?

 Year NYCtemp 1869 51.4 1870 53.6 1871 51.1 1872 51 1873 51 1874 51.3 1875 49.4 1876 51.9 1877 52.8 1878 53.6 1879 52.3 1880 53.2 1881 52.4 1882 52 1883 50.5 1884 52.4 1885 51.1 1886 51 1887 50.9 1888 49.3 1889 52.7 1890 52.7 1891 53.8 1892 51.9 1893 50.4 1894 52.8 1895 51.3 1896 51.7 1897 51.6 1898 53 1899 52 1900 52.4 1901 50.6 1902 51.2 1903 51.2 1904 48.7 1905 51.2 1906 52.7 1907 50.4 1908 52.5 1909 51.4 1910 51 1911 52.2 1912 51.7 1913 53.9 1914 51.1 1915 52.5 1916 51.1 1917 49.7 1918 52.1 1919 52.8 1920 51.7 1921 54.4 1922 52.8 1923 52 1924 51.1 1925 52.7 1926 50.2 1927 52.6 1928 52.7 1929 53.2 1930 53.7 1931 55.1 1932 54.3 1933 53.5 1934 52 1935 52.3 1936 52.6 1937 53.5 1938 54 1939 53.5 1940 50.7 1941 53.6 1942 52.8 1943 52.6 1944 53.4 1945 53 1946 54.2 1947 52.8 1948 53 1949 55.9 1950 52.6 1951 54 1952 54.8 1953 56 1954 53.9 1955 53.9 1956 52.7 1957 54.7 1958 51.8 1959 54.6 1960 53.1 1961 53.9 1962 52.4 1963 52.5 1964 53.5 1965 53.1 1966 53.9 1967 51.9 1968 53 1969 53.7 1970 53.2 1971 54.1 1972 53 1973 55.3 1974 54.2 1975 54.4 1976 52.8 1977 53.4 1978 52 1979 54.1 1980 53.6 1981 53.9 1982 53.5 1983 54.7 1984 54.1 1985 54.2 1986 54.2 1987 54.3 1988 54 1989 53.2 1990 56.4 1991 56.4 1992 53.1 1993 54.7 1994 54.4 1995 54.4 1996 53.7 1997 54.3 1998 57.1 1999 56.5 2000 53.8 2001 56.2 2002 56.4 2003 53.4 2004 54.5 2005 55.7 2006 56.8 2007 55 2008 55.3 2009 54 2010 56.7 2011 56.4 2012 57.3 2013 55.5

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