that the company's claim is correct? Assume that the lifetimes of this company's recently produced batte approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specif necessary, consult a list of formulas.) |(a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H, :0 |(b) Determine the type of test statistic to use. (Choose one) O=0 OSO |(c) Find the value of the test statistic. (Round to three or more decimal places.) O

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Deonique
Hypothesis test for the population variance or.
Records show that the lifetimes of batteries manufactured by a certain company have a mean of 610 hours and a standard
deviation of 134. The company advertises that, currently, the standard deviation o is less than 134, following some
adjustments in production practices. A random sample of 24 recently produced batteries from this company had a mean
lifetime of 613 hours and a standard deviation of 115. Is there enough evidence to conclude, at the 0.1 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 complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If
necessary, consult a list of formulas.)
Aa
|(a) State the null hypothesis H, and the alternative hypothesis H,.
O p
H, :0
H, :0
(b) Determine the type of test statistic to use.
(Choose one) v
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
?
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we support the claim that the current standard deviation of lifetimes of
batteries manufactured by them is less than 134?
OYes ONo
Transcribed Image Text:Deonique Hypothesis test for the population variance or. Records show that the lifetimes of batteries manufactured by a certain company have a mean of 610 hours and a standard deviation of 134. The company advertises that, currently, the standard deviation o is less than 134, following some adjustments in production practices. A random sample of 24 recently produced batteries from this company had a mean lifetime of 613 hours and a standard deviation of 115. Is there enough evidence to conclude, at the 0.1 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 complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) Aa |(a) State the null hypothesis H, and the alternative hypothesis H,. O p H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) v D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O ? (d) Find the p-value. (Round to three or more decimal places.) (e) Can we support the claim that the current standard deviation of lifetimes of batteries manufactured by them is less than 134? OYes ONo
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