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A researcher wishes to determine whether the returns to a particular stock follow a normal distribution. She obtains the following results after undertaking some statistical

  1. A researcher wishes to determine whether the returns to a particular stock follow a normal distribution. She obtains the following results after undertaking some statistical tests:
Variable Skewness Kurtosis Bera Jarque test-statistic
Value Standard error Z-score Value Standard error Z-score P-value
Stock returns 0,398 0,58 0,686 0.825 1,12 -0,732 0,2

  1. Undertake a hypothesis test to determine whether the data are skewed using a 5% level of significance.
  2. Undertake a hypothesis test to determine whether the kurtosis of the data, are consistent with normality using a 5% level of significance.
  3. Using two different methods, perform an overall test for normality using a 5% significance level.
  4. Clearly explain the relationship between the hypothesis tests undertaken in 1 and 2 above and the hypothesis test undertaken in 3.
  5. Discuss the various graphical techniques that are commonly used to describe the shape of the distribution of financial returns.

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