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 22 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. LOADING... Click the icon to view the table of summary statistics from the samples. Production Production Line 1 Line 2 Sample Size, n 20 22 Sample Mean, x 25.28 25.49 Sample Standard Deviation, s 0.05 0.08 a. Calculate the point estimate for the difference between the population means of the two lines. Point estimate=nothing?? b. Develop a 90% confidence interval estimate of the true mean difference between the two lines. The 90% confidence interval is nothing??≤(μ1−μ2)≤nothing??. (Round to two decimal places as needed.) c. Based on the 90% confidence interval estimate calculated in part b, what can the managers of the production lines conclude about the differences bet
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 22 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. LOADING... Click the icon to view the table of summary statistics from the samples. Production Production Line 1 Line 2 Sample Size, n 20 22 Sample Mean, x 25.28 25.49 Sample Standard Deviation, s 0.05 0.08 a. Calculate the point estimate for the difference between the population means of the two lines. Point estimate=nothing?? b. Develop a 90% confidence interval estimate of the true mean difference between the two lines. The 90% confidence interval is nothing??≤(μ1−μ2)≤nothing??. (Round to two decimal places as needed.) c. Based on the 90% confidence interval estimate calculated in part b, what can the managers of the production lines conclude about the differences bet
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
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
22
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.LOADING...
|
Production
|
Production
|
|
|---|---|---|
|
|
Line 1
|
Line 2
|
|
Sample Size, n
|
20
|
22
|
|
Sample Mean, x
|
25.28
|
25.49
|
|
Sample Standard Deviation, s
|
0.05
|
0.08
|
a. Calculate the point estimate for the difference between the population means of the two lines.
Point
estimate=nothing??
b. Develop
interval estimate of the true mean difference between the two lines.
a
90%
confidence The
90%
confidence interval is
nothing??≤(μ1−μ2)≤nothing??.
(Round to two decimal places as needed.)
c. Based on the
90%
confidence interval estimate calculated in part b, what can the managers of the production lines conclude about the differences between the average fill rates for the two lines? Choose the correct answer below.Since the interval
does not contain
zero, the two lines
may fill
bags with equal average amounts. The difference is at most about the magnitude of the
lower
limit.Since the interval
does not contain
zero, the two lines
do not fill
bags with equal average amounts. The difference is at most about the magnitude of the
lower
limit.Since the interval
does not contain
zero, the two lines
do not fill
bags with equal average amounts. The difference is at most about the magnitude of the
upper
limit.Since the interval
does not contain
zero, the two lines
may fill
bags with equal average amounts. The difference is at most about the magnitude of the
upper
limit.Expert Solution
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