can you please send the answer a little bit faster

A set of solar batteries is used in a research satellite. The satellite can run on only one battery. but it runs best if more than one battery is used. The variance 02 of lifetimes of these batteries affects the useful lifetime of the satellite before it goes dead. If the variance is too small. all the batteries will tend to die at once. Why? lfthe variance is too large, the batteries are simply not dependable. Why? Engineers have determined that a variance of 02 = 23 months (squared) is most desirable for these batteries. A random sample of 26 batteries gave a sample variance of 14.6 months (squared). Using a 0.05 level of signicance. test the claim that 02 = 23 against the claim that 02 is different from 23. (a) What is the level of signicance? ll State the null and alternate hypotheses. "\\j H0: U2 = 231H7:cr2 : 23 L; H0102 > 23; H1: 02 = 23 Li Hg: 0'2 = 23; H7: or2 0.100 L) 0050 ax. we fail to reject the null hypothesis. L) Since the Pvalue > ax. we reject the null hypothesis. LJ Since the Pvalue s cc. we reject the null hypothesis. '\\_.5 Since the Pvalue 5 oz. we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. L 2' At the 5% level of signicance. there is insufcient evidence to conclude that the variance of battery life is different from 23. L} At the 5% level of signicance. there is sufcient evidence to conclude that the variance of battery life is different from 23. (1') Find a 90% condence interval for the population variance. (Round your answers to two decimal places.) lower limit upper limit (g) Find a 90% confidence interval for the population standard deviation. (Round your answers to two decimal places.) lower limit months upper limit months