A pet food producer fills 25-pound bags of dog food on two different production lines located in separate cities. In an effort to determine whether differences exist between the average fill rates for the two lines, a random sample of 20 bags from line 1 and a random sample of 24 bags from line 2 were recently selected. Each bag's weight was measured and the accompanying table reports the summary measures from the samples. Assume the two lines are normally distributed with equal variances. Complete parts a through c below. Click the icon to view the table of summary statistics from the samples. a. Calculate the point estimate for the difference between the population means of the two lines. Point estimate = - 0.15 b. Develop a 99% confidence interval estimate of the true mean difference between the two lines. The 99% confidence interval iss (µ1 – H2) < (Round to two decimal places as needed.)

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Production Production
Line 1
Line 2
Sample Size, n
Sample Mean, x
Sample Standard Deviation, s
20
24
25.12
25.27
0.06
0.08
Transcribed Image Text:Production Production Line 1 Line 2 Sample Size, n Sample Mean, x Sample Standard Deviation, s 20 24 25.12 25.27 0.06 0.08
A pet food producer fills 25-pound bags of dog food on two different production lines located in separate cities. In an effort to
determine whether differences exist between the average fill rates for the two lines, a random sample of 20 bags from line 1 and
a random sample of 24 bags from line 2 were recently selected. Each bag's weight was measured and the accompanying table
reports the summary measures from the samples. Assume the two lines are normally distributed with equal variances.
Complete parts a through c below.
Click the icon to view the table of summary statistics from the samples.
a. Calculate the point estimate for the difference between the population means of the two lines.
Point estimate = -0.15
b. Develop a 99% confidence interval estimate of the true mean difference between the two lines.
The 99% confidence interval is s(H, - H2)s-
|5(71 - hH1) 5 |
(Round to two decimal places as needed.)
Transcribed Image Text:A pet food producer fills 25-pound bags of dog food on two different production lines located in separate cities. In an effort to determine whether differences exist between the average fill rates for the two lines, a random sample of 20 bags from line 1 and a random sample of 24 bags from line 2 were recently selected. Each bag's weight was measured and the accompanying table reports the summary measures from the samples. Assume the two lines are normally distributed with equal variances. Complete parts a through c below. Click the icon to view the table of summary statistics from the samples. a. Calculate the point estimate for the difference between the population means of the two lines. Point estimate = -0.15 b. Develop a 99% confidence interval estimate of the true mean difference between the two lines. The 99% confidence interval is s(H, - H2)s- |5(71 - hH1) 5 | (Round to two decimal places as needed.)
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