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. H0: S = 0 and K = 0; HA: S ≠ 0 and K ≠ 0H0: S = 0 and K = 0; HA: S < 0 and K < 0H0: S = 0 and K = 0; HA: 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 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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