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Historical data indicate that the standard deviation of a process is 6.9. a. A recent sample of size 30 produced a variance of 66.7. Test to determine if the variance has increased using a significance level of 0.05. b. A recent sample of size 8 produced a variance of 8.86. Test to determine if the variance has decreased using a significance level of 0.025. c. A recent sample of size 15 produced a variance of 63.1. Test to determine if the variance has changed using a significance level of 0.10. \text { A. } H_{0}: \sigma^{2} \neq H_{A}: \sigma^{2}= \mathrm{H}_{0}: \sigma^{2}= \mathrm{H}_{\mathrm{A}}: \sigma^{2} \neq H_{0}: \sigma^{2} \leq H_{A}: \sigma^{2}> H_{0}: \sigma^{2} \geq H_{A}: \sigma^{2}<

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