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. *H*_{0}: *S* = 0 and *K* = 0; *H*_{A}: *S* ≠ 0 and *K* ≠ 0*H*_{0}: *S* = 0 and *K* = 0; *H*_{A}: *S* < 0 and *K* < 0*H*_{0}: *S* = 0 and *K* = 0; *H*_{A}: *S* > 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 *H*_{0}; there is enough evidence to support the claim that the data are not normally distributed.Do not reject *H*_{0}; there is not enough evidence to support the claim that the data are not normally distributed.Reject *H*_{0}; there is not enough evidence to support the claim that the data are not normally distributed.Do not reject *H*_{0}; there is enough evidence to support the claim that the data are not normally distributed.

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