nct production tracks located in separate suburbs. To determine whether differences exist between the average fill rates for the two tracks, a random sample of 25 bags from Track 1 and a random sample of 16 bags from Track 2 were recently selected. Each bag’s weight was measured and the following information measures from the samples are reported: Production Production Track 1 Track 2 n1 = 25 n2 = 16 x2 = 40.02 x1 = 39.87 s1 = 0.59 s2 = 0.88 Supervision believes that the fill rates of the two tracks are normally distributed with equal variances. Construct a 95% confidence interval estimate of the true mean difference between the two tracks. -------------------------------------------------------------------------------------------------------------- 2) Two independent simple random samples were selected from two normally distributed populations with unequal variances yielded the following information: Sample 1 Sample 2 n1 = 16 n2 = 16 x2 = 300.3 x1 = 200.9 = 44.5 2 = 48.4 s2 2 s1 Based on the sample information, construct a 99% confidence interval estimate for the difference between the two population means.
1) A cement producer, manufactures and then fills 40kg-bags of powder cement on two
distinct production tracks located in separate suburbs. To determine whether differences
exist between the average fill rates for the two tracks, a random sample of 25 bags from
Track 1 and a random sample of 16 bags from Track 2 were recently selected. Each bag’s
weight was measured and the following information measures from the samples are
reported:
Production Production
Track 1 Track 2
n1 = 25 n2 = 16
x2 = 40.02
x1 = 39.87
s1 = 0.59 s2 = 0.88
Supervision believes that the fill rates of the two tracks are
variances.
Construct a 95% confidence
tracks.
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2) Two independent simple random samples were selected from two normally
distributed populations with unequal variances yielded the following information:
Sample 1 Sample 2
n1 = 16 n2 = 16
x2 = 300.3
x1 = 200.9
= 44.5 2 = 48.4 s2
2
s1
Based on the sample information, construct a 99% confidence interval estimate
for the difference between the two population means.
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