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You are given the following summary statistics from a sample of 31 observations: Use Table 3 . Mean68.47 Standard Deviation11.82 Skewness1.19...

You are given the following summary statistics from a sample of 31 observations: Use Table 3.

 

    Mean68.47   Standard Deviation11.82   Skewness1.19   Kurtosis1.58 

 

a.Using the Jarque-Bera test, specify the null and alternative hypotheses to determine whether or not the data are normally distributed.   H0S = 0 and K = 0; HAS ≠ 0 and K ≠ 0H0S = 0 and K = 0; HAS < 0 and K < 0H0S = 0 and K = 0; HAS > 0 and K > 0

 

b.At the 1% significance level, what is the critical value? (Round your answer to 3 decimal places.)

 

  Critical value  

 

c.Calculate the value of the test statistic. (Round intermediate calculations to 4 decimal places and final answer to 2 decimal places.)

 

  Test statistic  

 

d.What is the conclusion?   Reject H0; there is enough evidence to support the claim that the data are not normally distributed.Do not reject H0; there is not enough evidence to support the claim that the data are not normally distributed.Reject H0; there is not enough evidence to support the claim that the data are not normally distributed.Do not reject H0; there is enough evidence to support the claim that the data are not normally distributed.

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