Question

The following table shows the winning times in minutes) for men and women in the New York City Marathon between 1984 and 2014. Assuming that performances in the Big Apple resemble performances elsewhere, we can think of these data as a sample of performance in marathon competitions. Create a 90% confidence interval for the mean difference in winning times for male and female marathon competitors. The 90% confidence interval for the mean difference in winning times (Women - Men) is (15.66|17.78) (Round to two decimal places as needed. Use ascending order.)

Answer 1

Hello,

S.No	Year	Men	Women
1	1984	134.9	149.5
2	1985	131.6	148.6
3	1986	131.1	148.1
4	1987	131	150.3
5	1988	128.3	148.1
6	1989	128	145.5
7	1990	132.7	150.8
8	1991	129.5	147.5
9	1992	129.5	144.7
10	1993	130.1	146.4
11	1994	131.4	147.6
12	1995	131	148.1
13	1996	129.9	148.3
14	1997	128.2	148.7
15	1998	128.8	145.3
16	1999	129.2	145.1
17	2000	130.2	145.8
18	2001	127.7	144.4
19	2002	128.1	145.9
20	2003	130.5	142.5
21	2004	129.5	143.2
22	2005	129.5	144.7
23	2006	130	145.7
24	2007	129.1	143.2
25	2008	128.7	143.9
26	2009	129.3	148.9
27	2010	128.2	148.3
28	2011	125.1	148.3
29	2013	128.4	145.1
30	2014	131	145.1

1.Men Median is 129.5

2. Women Median is 146.15

So diffrece of between Men vs Women is 16.65 of actual mean of diffrecne as per the table given by you.

Thanks