onsider the following hypothesis test. Ho 120 H₂ M₁-M20 e following results are from independent samples taken from two populations. Sample 1 7₁ = 35 1 13.6 = 81 = = 5.4 What is the value of the test statistic (to 2 decimals)? Sample 2 n₂ = 40 2 82 = = 10.1 8.1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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Consider the following hypothesis test.
H₁ H₁-H₂ = 0
H₂ : ₁ - 20
The following results are from independent samples taken from two populations.
Sample 1
721 = 35
113.6
= 5.4
$1
a. What is the value of the test statistic (to 2 decimals)?
c. What is the p-value? Use Table 2 from Appendix B.
The area in the upper tail is between 0.01 and 0.025 ✓
d. At a = 0.05, what is your conclusion?
p-value is less than or equal to 0.05, reject
Sample 2
n₂ = 40
b. What is the degrees of freedom for the distribution (round the answer to the previous whole number)?
Ho
2 = 10.1
82 = 8.1
; two-tailed p-value is between 0.02 and 0.05
Transcribed Image Text:Consider the following hypothesis test. H₁ H₁-H₂ = 0 H₂ : ₁ - 20 The following results are from independent samples taken from two populations. Sample 1 721 = 35 113.6 = 5.4 $1 a. What is the value of the test statistic (to 2 decimals)? c. What is the p-value? Use Table 2 from Appendix B. The area in the upper tail is between 0.01 and 0.025 ✓ d. At a = 0.05, what is your conclusion? p-value is less than or equal to 0.05, reject Sample 2 n₂ = 40 b. What is the degrees of freedom for the distribution (round the answer to the previous whole number)? Ho 2 = 10.1 82 = 8.1 ; two-tailed p-value is between 0.02 and 0.05
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,