You are given the following summary statistics from a sample of 21 observations: (You may find it useful to reference the appropriate table: chi-square table or F table) Mean 58.27 Standard Deviation 11.83 Skewness 1.31 Kurtosis 1.80 a. Using the Jarque-Bera test, specify the null and alternative hypotheses to determine whether or not the data are normally distributed. Hg: S = 0 and K - 0; HA: S + 0 and K + 0 Hg: S = 0 and K = 0; HA: S < e and K < 0 Hg: S = 0 and K = 0; HA: S > 0 and K > 0 b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic b-2. Find the p-value. O 0.01 s p-value <0.025 O p-value < 0.01 O p-value 2 0.10 O 0.05 s p-value < 0.10 O 0.025 s p-value <0.05 c. What is the conclusion at the 1% significance level?

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You are given the following summary statistics from a sample of 21 observations: (You may find it useful to reference the appropriate
table: chi-square table or F table)
Mean
58.27
Standard Deviation
11.83
Skewness
1.31
Kurtosis
1.80
a. Using the Jarque-Bera test, specify the null and alternative hypotheses to determine whether or not the data are normally
distributed.
O Hạ: S = 0 and K = 0; HA: S + 0 and K + 0
O Ha: S = 0 and K = 0; Ha: 5 < 0 and K < 0
O Ha: S = 0 and K = 0; Ha: 5 > 0 and K > 0
b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3
decimal places.)
Test statistic
b-2. Find the p-value.
O 0.01 s p-value < 0.025
O p-value < 0.01
O p-value 2 0.10
O 0.05 s p-value < 0.10
O 0.025 s p-value < 0.05
c. What is the conclusion at the 1% significance level?
Transcribed Image Text:You are given the following summary statistics from a sample of 21 observations: (You may find it useful to reference the appropriate table: chi-square table or F table) Mean 58.27 Standard Deviation 11.83 Skewness 1.31 Kurtosis 1.80 a. Using the Jarque-Bera test, specify the null and alternative hypotheses to determine whether or not the data are normally distributed. O Hạ: S = 0 and K = 0; HA: S + 0 and K + 0 O Ha: S = 0 and K = 0; Ha: 5 < 0 and K < 0 O Ha: S = 0 and K = 0; Ha: 5 > 0 and K > 0 b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic b-2. Find the p-value. O 0.01 s p-value < 0.025 O p-value < 0.01 O p-value 2 0.10 O 0.05 s p-value < 0.10 O 0.025 s p-value < 0.05 c. What is the conclusion at the 1% significance level?
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