Consider the following hypothesis statement using a = 0.05 and data from two independent samples. Assume population variances are not equal and the populations are normally distributed. Complete parts a and b. Hoi Hity=0 X₁ =114.1 x₂ = 120.0 H₁: ₁-₂0 S₁ = 24.1 n₁ = 13 $₂= 14.4 n2=20

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 14PPS
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Consider the following hypothesis statement using a = 0.05 and data from two independent samples. Assume the
population variances are not equal and the populations are normally distributed. Complete parts a and b.
Ho:
HH2=0
X₁ = 114.1
x₂ = 120.0
H₁:₁₂ #0
S₁ = 24.1
$₂ = 14.4
n₁ = 13
n₂=20
a. Calculate the appropriate test statistic and interpret the result.
The test statistic is
(Round to two decimal places as needed.)
S
Use technology to find the critical values for a t-distribution w
rounding to two decimal places.
stb. Identify the p-value from part a and interpret the result.
Transcribed Image Text:Consider the following hypothesis statement using a = 0.05 and data from two independent samples. Assume the population variances are not equal and the populations are normally distributed. Complete parts a and b. Ho: HH2=0 X₁ = 114.1 x₂ = 120.0 H₁:₁₂ #0 S₁ = 24.1 $₂ = 14.4 n₁ = 13 n₂=20 a. Calculate the appropriate test statistic and interpret the result. The test statistic is (Round to two decimal places as needed.) S Use technology to find the critical values for a t-distribution w rounding to two decimal places. stb. Identify the p-value from part a and interpret the result.
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