Q28-031 You are working with a team that is developing and testing a new kit for testing for SARS-CoV-2 virus rapidly. A random sample of size 13 of the current kit (group 1) gives a sample average processing time of 24 hours, and have a sample standard deviation of $2.5$ hours. You have randomly selected 17 samples from your kit (group 2), and the sample average processing is 24 hours, and have a sample standard deviation of $1.55 hour. Can we assume that the two kits have an equal population variance? Assume a $0.05$ significance level. 028. The null hypothesis and the alternative hypothesis, respectively, are as follows: A. $H_(O): \mu_{1}=\mu_{2}$, and $H_{1}: \mu_(1) Ineq \mu_27$ B. $H_Co): \sigma_{1}^{2}=\sigma_{2}^{2}$, and SH_C13: \sigma_{1}^{2} eq \sigma_{2}^{2}$ C. SH_CO): s_{1}^{2}=s_{2}^{2}$, and $H_{1}: S_{1}^{2} eq s_{2}^{2}$ D. $H_[0]: \sigma_{1}^{2}=\sigma_ [2]^(2)$, and $H_(1): \sigma_(1)^{2}>\sigma_ [2]*[2]$ E. $H_CO]: \sigma_{1}^{2}=\sigma_{2}^{2}$, and $H_{1}: \sigma_{1}^{2}