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In: Statistics and Probability

Automotive: The following table presents a portion of the annual returns for Fidelity's Select Automotive Fund...

Automotive: The following table presents a portion of the annual returns for Fidelity's Select Automotive Fund (in percent). This mutual fund invests primarily in companies engaged in the manufacturing, marketing, or the sales of automobiles, trucks, specialty vehicles, parts, tires, and related services.

Year Automotive Fund
1987 6.54
1988 20.06
1989 4.1
1990 -6.72
1991 37.33
1992 41.61
1993 35.38
1994 -12.75
1995 13.43
1996 16.07
1997 16.78
1998 4.94
1999 -13.47
2000 -7.24
2001 22.82
2002 -6.48
2003 43.53
2004 7.11
2005 -1.75
2006 13.33
2007 0.01
2008 -61.2
2009 122.28
2010 46.18
2011 -26.16
2012 26.17
2013 46.67

1.State the null and the alternative hypothesis in order to test whether the standard deviation is greater than 35%.

2.What assumption regarding the population is necessary to implement this step?

3. Calculate the value of the test statistics.

4. Find the p-value.

5.At a=0.05, what is your conclusion?

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