A replacement part for a machine must be produced within close specifications in order for it to be acceptable to customers. A production process is considered to be working properly as long as the variance in the lengths of the parts does not exceed 0.05 squared-units. Suppose the sample variance computed from 30 parts turns out to be s2 = 0.07. Use Table 3.a.Select the null and the alternative hypotheses to test if the production specification is not being met at a 5% level of significance.H0: ?2 = 0.05; HA: ?2 ? 0.05H0: ?2 ? 0.05; HA: ?2 < 0.05H0: ?2 ? 0.05; HA: ?2 > 0.05b.Calculate the value of the test statistic. (Round intermediate calculations to 4 decimal places and final answer to 2 decimal places.)Test statisticc.Approximate the p-value.0.05 < p-value < 0.100.02 < p-value < 0.05p-value > 0.20p-value < 0.02d.is the production specification violated at the 5% level?No, since the p-value is less than ?.Yes, since the p-value is less than ?.No, since the p-value is more than ?.Yes, since the p-value is more than ?.
