Which bird is faster: Flamingos or peacocks? A study was done to estimate the true mean difference in running speed for flamingos and peacocks. Researchers selected a random sample of 45 flamingos and a random sample of 30 peacocks. One at a time, each bird was placed at the starting line, then was released to run down the walled runway. At the end of the runway was a dish of their favorite food. The birds were timed as they ran down the runway. The table below gives the mean and standard deviation of their speed, in miles per hour, for each type of bird. Group Flamingos Peacocks 45 30 x 6.5 5.2 Sx 1.351 1.550 Let₁ = the true mean running speed (in mph) for all flamingos and 2 = the true mean running speed (in mph) for all peacocks. Use these data to construct and interpret a 90% confidence interval for the difference in the mean running speed for all flamingos and peacocks.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
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Question 4 of 5
ⒸBFW Publishers
Name of Procedure
We have a random sample of 45 flamingos.
two-sample z interval for p₁ - P2
The Normal/Large Sample condition is not met.
n₂ = 30 ≥ 30
two-sample r interval for x₁ - x₂
Random
two-sample interval for ₁-2
Answer Bank
The Normal/Large Sample condition is met.
We have a random sample of 30 peacocks.
Normal/Large Samples
The random samples are independent.
m₁ = 45230
The random condition is not met.
The Random condition is met.
The birds are randomly assigned to a treatment group.
c
Transcribed Image Text:Question 4 of 5 ⒸBFW Publishers Name of Procedure We have a random sample of 45 flamingos. two-sample z interval for p₁ - P2 The Normal/Large Sample condition is not met. n₂ = 30 ≥ 30 two-sample r interval for x₁ - x₂ Random two-sample interval for ₁-2 Answer Bank The Normal/Large Sample condition is met. We have a random sample of 30 peacocks. Normal/Large Samples The random samples are independent. m₁ = 45230 The random condition is not met. The Random condition is met. The birds are randomly assigned to a treatment group. c
Which bird is faster: Flamingos or peacocks? A study was done to estimate the true mean difference in running speed for
flamingos and peacocks. Researchers selected a random sample of 45 flamingos and a random sample of 30 peacocks. One at a
time, each bird was placed at the starting line, then was released to run down the walled runway. At the end of the runway was a
dish of their favorite food. The birds were timed as they ran down the runway. The table below gives the mean and standard
deviation of their speed, in miles per hour, for each type of bird.
Group
Flamingos
Peacocks
n
45
30
X
6.5
5.2
Sx
1.351
1.550
Let u₁ = the true mean running speed (in mph) for all flamingos and ₂ = the true mean running speed (in mph) for all
peacocks.
Use these data to construct and interpret a 90% confidence interval for the difference in the mean running speed for all
flamingos and peacocks.
oxes. Leave
Transcribed Image Text:Which bird is faster: Flamingos or peacocks? A study was done to estimate the true mean difference in running speed for flamingos and peacocks. Researchers selected a random sample of 45 flamingos and a random sample of 30 peacocks. One at a time, each bird was placed at the starting line, then was released to run down the walled runway. At the end of the runway was a dish of their favorite food. The birds were timed as they ran down the runway. The table below gives the mean and standard deviation of their speed, in miles per hour, for each type of bird. Group Flamingos Peacocks n 45 30 X 6.5 5.2 Sx 1.351 1.550 Let u₁ = the true mean running speed (in mph) for all flamingos and ₂ = the true mean running speed (in mph) for all peacocks. Use these data to construct and interpret a 90% confidence interval for the difference in the mean running speed for all flamingos and peacocks. oxes. Leave
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