0.100O 0.050 a, we fail to reject the null hypothesis.O Since the P-value > a, we reject the null hypothesis.O Since the P-value s a, we reject the null hypothesis.O Since the P-value s a, we fail...

Extracted text: (c) Find or estimate the p-value of the sample test statistic, O p-value > 0.100 O 0.050 < p-value="">< 0,100="" o="" 0.025="">< p-value="">< 0.050="" o="" 0.010="">< p-value="">< 0.025="" o="" 0.005="">< p-value="">< 0.010="" o="" p-value="">< 0.005="" (d)="" based="" on="" your="" answers="" in="" parts="" (a)="" to="" (c),="" will="" you="" reject="" or="" fail="" to="" reject="" the="" null="" hypothesis?="" o="" since="" the="" p-value=""> a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. O Since the P-value s a, we reject the null hypothesis. O Since the P-value s a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. O At the 5% level of significance, there is insufficient evidence to conclude that the variance of battery life is different from 23. O At the 5% level of significance, there is sufficient evidence to conclude that the variance of battery life is different from 23. (f) Find a 90% confidence 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


Extracted text: 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 a2 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? If the variance is too large, the batteries are simply not dependable. Why? Engineers have determined that a variance of o? = 23 months (squared) is most desirable for these batter les. A random sample uf 22 batteries gave a sarmple variance of 15.6 months (squared). Using a 0.05 level of signlficance, test the claim that g? 23 against the claim that o? is different from 23. (a) What is the level of significance? State the null and alternate hypotheses. O H,: a = 23; H, o?> 23 O H o? > 23; H,: o? = 23 O H: a? - 23; H, a²< 23="" o="" h,:="" 02="" -="" 23;="" h,:="" 02="23" (b)="" find="" the="" value="" of="" the="" chi-square="" statistic="" for="" the="" sample.="" (round="" your="" answer="" to="" two="" decimal="" places.)="" what="" are="" the="" degrees="" of="" freedorn?="" what="" assurmptions="" are="" you="" making="" about="" the="" original="" distribution?="" o="" we="" assume="" a="" exponential="" population="" distribution.="" o="" we="" assume="" a="" uniform="" population="" distribution.="" o="" we="" assume="" a="" binomial="" population="" distribution.="" o="" we="" assume="" a="" normal="" population="" distribution.="" (c)="" find="" or="" estimate="" the="" p-value="" of="" the="" sample="" test="" statistic.="" op="" value=""> 0.100 O 0.050 < p-value="">< 0.100="" o="" 0.025="">< p-value="">< 0.050 11:01 am p type here to search 75°f mostly sunny 7/30/2021 0.050="" 11:01="" am="" p="" type="" here="" to="" search="" 75°f="" mostly="" sunny="">