1 2 Sample Mean (ug) 167.4 140.5 Sample Standard Deviation (pg) 22.8 17.3 5% confidence interval for the difference (₁-₂) in the mean selenium intakes for the tw pa Pg to at this interval, probability that the difference in the average daily selenium intake for the populations in Re

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question
D
A small amount of the trace element selenium, 50-200 micrograms (ug) per day, is considered essential to good health. Suppose that random samples of
50 adults were selected from two regions of the United States and that each person's daily selenium intake was recorded. The means and standard
deviations of the selenium daily intakes for the two groups are shown in the table.
Sample Mean (ug)
Sample Standard Deviation (ug)
Find a 95% confidence interval for the difference (₁-₂) in the mean selenium intakes for the two regions. (Round your answers to three decimal
places.)
49
Region
Phase One-Tw_docx
1
167.4
22.8
ug to
Interpret this interval,
O The probability that the difference in the average daily selenium intake for the populations in Region 1 and Region 2 is exactly in the middle of the
Interval is 95%.
A
2
140.5
17.3
O The probability that the difference in the average daily selenium intake for the populations in Region 1 and Region 2 is within the interval is
95%.
We are 95% confident that the difference in the average daily selenium intake for the populations in Region 1 and Region 2 is within the interval.
O We are 95% confident that the difference in the average dally selenium intake for the samples taken from Region 1 and Region 2 is within the
interval.
O The daily selenium intake is within the interval for 95% of the populations in Region 1 and Region 2.
howtolose(1).doc
phase3eval.doc
Phasethreefall20.doc
Show All
Scre
2-14
Scre
2-10
scree
2-10
Screes
2-10.
Transcribed Image Text:D A small amount of the trace element selenium, 50-200 micrograms (ug) per day, is considered essential to good health. Suppose that random samples of 50 adults were selected from two regions of the United States and that each person's daily selenium intake was recorded. The means and standard deviations of the selenium daily intakes for the two groups are shown in the table. Sample Mean (ug) Sample Standard Deviation (ug) Find a 95% confidence interval for the difference (₁-₂) in the mean selenium intakes for the two regions. (Round your answers to three decimal places.) 49 Region Phase One-Tw_docx 1 167.4 22.8 ug to Interpret this interval, O The probability that the difference in the average daily selenium intake for the populations in Region 1 and Region 2 is exactly in the middle of the Interval is 95%. A 2 140.5 17.3 O The probability that the difference in the average daily selenium intake for the populations in Region 1 and Region 2 is within the interval is 95%. We are 95% confident that the difference in the average daily selenium intake for the populations in Region 1 and Region 2 is within the interval. O We are 95% confident that the difference in the average dally selenium intake for the samples taken from Region 1 and Region 2 is within the interval. O The daily selenium intake is within the interval for 95% of the populations in Region 1 and Region 2. howtolose(1).doc phase3eval.doc Phasethreefall20.doc Show All Scre 2-14 Scre 2-10 scree 2-10 Screes 2-10.
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