Question Help v We've seen how to compare the means of two samples with known population variances (refer, for instance, to Example 4 in Recitation 11), but when we need to compare the means of two samples with unknown (but assumed to be equal) population variances, a method called 'variance pooling' needs to be used to find the pooled sample variance' that should be used when calculating the confidence interval. The pooled variance is given by si (n - 1) + s3 (n2 pool n +n2-2 with v=n, + n2-2 degrees of freedom (see page 308 of your e-book). Now look at the example below Production engineers need to compare the average efficiencies of two production processes Process 1 and Process 2 are sampled 12 and 13 times and they yielded average efficiencies of 79 and 70 (out of 100), respectively The sample standard deviations are 4 and 3, again, respectively Help them construct a 90% confidence interval, assuming that efficiency values are Normally distributed with equal variances Click here to View page 1 of the table of critical values of the t-distribution, Click here to view page 2 of the table of critical values of the t.distribution. With 90%, confidence, the difference between population mean efficiencies µ, -p, will be betweena (Round to two decimal places including any zeros.) and
Question Help v We've seen how to compare the means of two samples with known population variances (refer, for instance, to Example 4 in Recitation 11), but when we need to compare the means of two samples with unknown (but assumed to be equal) population variances, a method called 'variance pooling' needs to be used to find the pooled sample variance' that should be used when calculating the confidence interval. The pooled variance is given by si (n - 1) + s3 (n2 pool n +n2-2 with v=n, + n2-2 degrees of freedom (see page 308 of your e-book). Now look at the example below Production engineers need to compare the average efficiencies of two production processes Process 1 and Process 2 are sampled 12 and 13 times and they yielded average efficiencies of 79 and 70 (out of 100), respectively The sample standard deviations are 4 and 3, again, respectively Help them construct a 90% confidence interval, assuming that efficiency values are Normally distributed with equal variances Click here to View page 1 of the table of critical values of the t-distribution, Click here to view page 2 of the table of critical values of the t.distribution. With 90%, confidence, the difference between population mean efficiencies µ, -p, will be betweena (Round to two decimal places including any zeros.) and
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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We've seen how to compare the means of two samples with known population variances (refer, for instance, to Example 4 in Recitation 11), but when we need to
compare the means of two samples with unknown (but assumed to be equal) population variances, a method called 'variance pooling' needs to be used to find the
'pooled sample variance' that should be used when calculating the confidence interval. The pooled variance is given by
s (n-1)
+s (n2 -1)
pool
n, +n, -2
with v=n, + n2 -2 degrees of freedom (see page 308 of your e-book). Now look at the example below
correct.
Production engineers need to compare the average efficiencies of two production processes. Process 1 and Process 2 are sampled 12 and 13 times and they yielded
average efficiencies of 79 and 70 (out of 100), respectively The sample standard deviations are 4 and 3 again, respectively Help them construct a 90% confidence
interval, assuming that efficiency values are Normally distributed with equal variances.
Click here to view page 1 of the table of critical values of the t-distribution.
Click here tO view page 2 of the table of critical values of the t-distribution.
With 90%, confidence, the difference between population mean efficiencies u,-P> will be between
(Round to two decimal places including any zeros.)
and
al Edition
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