1) Sampling Distribution for Sample Variances a) A cell phone manufacturer wants to advertise their new extended-life batteries. They belie the lifetimes are normally distributed with o = 1.15 hr. A test engineer takes a sample of batteries and calculates a sample standard deviation of 1.3 hr. Can the manufactur confidently advertise the standard deviation in the lifetime of their new batteries? U critical values of x3.95 and X3.05 (a 90% window). i) Find the value of the test statistic for this sample and the two critical values.

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1) Sampling Distribution for Sample Variances
a) A cell phone manufacturer wants to advertise their new extended-life batteries. They believe
the lifetimes are normally distributed with o = 1.15 hr. A test engineer takes a sample of 10
batteries and calculates a sample standard deviation of 1.3 hr. Can the manufacturer
confidently advertise the standard deviation in the lifetime of their new batteries? Use
critical values of X1.95 and X3.05 (a 90% window).
i)
Find the value of the test statistic for this sample and the two critical values.
ii)
2
X0.95 =
YES
x² =
Can the manufacturer confidently advertise the standard deviation in the lifetime of
their new batteries? Circle YES or NO and briefly explain your answer.
NO
X0.05 =
Transcribed Image Text:1) Sampling Distribution for Sample Variances a) A cell phone manufacturer wants to advertise their new extended-life batteries. They believe the lifetimes are normally distributed with o = 1.15 hr. A test engineer takes a sample of 10 batteries and calculates a sample standard deviation of 1.3 hr. Can the manufacturer confidently advertise the standard deviation in the lifetime of their new batteries? Use critical values of X1.95 and X3.05 (a 90% window). i) Find the value of the test statistic for this sample and the two critical values. ii) 2 X0.95 = YES x² = Can the manufacturer confidently advertise the standard deviation in the lifetime of their new batteries? Circle YES or NO and briefly explain your answer. NO X0.05 =
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