Records show that the lifetimes of batteries manufactured by a certain company have a mean of 610 hours and a variance of 16276. The company advertises that, currently, the variance o" is less than 16276, following some adjustments in production practices. A random sample of 21 recently produced batteries from this company had a mean lifetime of 616 hours and a variance of 7436. Is there enough evidence to conclude, at the 0.05 level of significance, that the company's claim is correct? Assume that the lifetimes of this company's recently produced batteries are approximately normally distributed. Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: The alternative hypothesis: H :0 The type of test statistic: (Choose one) v The value of the test statistic: (Round to at least three decimal places.) The critical value at the 0.05 level of significance: (Round to at least three decimal places.) Can we support the claim that the current variance of lifetimes of batteries manufactured by them is less than 16276? Yes No