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Year Fund X Fund Y You are an amateur investor and are trying to decide between two mutual funds: Fund X & Fund Y. You

Year Fund X Fund Y You are an amateur investor and are trying to decide between two mutual funds: Fund X & Fund Y. You decide to let data guide your decision and extract a sample of the returns from these funds from 1980 through 2020. The data on the returns for each fund can be found at left. Conduct and interpret the appropriate two-sample hypothesis test to determine if there is a significant difference in the mean annual return of these two funds at 95% confidence. Share your results by filling out the appropriate fields below.
1980 37.64 19.54
1981 12.42 2.85
1982 -17.35 7.57
1983 59.55 -12.82
1984 49.79 14.10
1985 22.11 3.70
1986 35.41 3.94
1987 2.82 1.34 Step 1: State the Hypotheses Step 0: Identify your variables
1988 -25.54 10.94 H0: Independent Variable:
1989 16.02 18.97 HA: Dependent Variable:
1990 55.76 9.98 Control Variable:
1991 53.15 2.35 Step 2: Set the Criteria for a Decision
1992 60.86 5.22 tailed test
1993 46.73 3.26 :
1994 -28.31 10.71 Critical Value(s):
1995 -27.41 2.77
1996 -29.45 16.37 (if multiple please label each in pink boxes)
1997 37.98 20.58
1998 8.93 7.46 Step 3: Compute Sample Statistics
1999 -21.72 -10.81 Test Statistic(s):
2000 57.88 -5.42
2001 20.36 16.36 (if multiple please label each in pink boxes)
2002 -9.95 12.92 p =
2003 -13.01 3.96
2004 -8.17 7.92 (if multiple please label each in pink boxes)
2005 54.84 20.05
2006 20.89 2.30 Step 4: Make a Decision
2007 59.04 14.73
2008 54.59 19.59
2009 -30.87 4.39
2010 -15.99 18.81
2011 46.61 3.31
2012 -53.23 13.20
2013 17.48 14.75
2014 9.23 7.62
2015 -22.12 1.63
2016 18.72 5.87
2017 12.24 16.62
2018 52.13 15.32
2019 27.19 11.30
2020 54.67 -7.71

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