a. First, what are the correct hypotheses for a two-tailed test? OA. H₂: H₁ H₂ H₂: H₁ H₂ OC. Ho: P₁ P₂ H₂: H₁ H₂ OE. Ho: H₁ H₂ H₂: H₁ H₂ Next, compute the test statistic t= (Round to three decimal places as needed.) Now determine the critical values. =t₁/2 = ± (Round to three decimal places as needed.) What is the conclusion of the hypothesis test? OB. Ho: #₁ #₂ H₂: H₁ H₂ OD. H₂H₁ H₂ H₂H₁ H₂ OF. Ho: H₁ H₂ H₂H₁

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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Provided below are summary statistics for independent simple random samples from two populations. Use the pooled t-test and the pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.
X₁14, s, 2.1, n₁ = 15, X₂ = 16, s₂ = 2.3, n₂ = 15
a. Two-tailed test, α = 0.01
b. 99% confidence interval
a. First, what are the correct hypotheses for a two-tailed test?
OA. Ho: H₁ H₂
H₂: H₁ H₂
ỌC. Ho:
HH2
H₂: H₁
H₂
O E. Ho: H₁
H₂
H₂: H₁ H₂
Next, compute the test statistic.
t= (Round to three decimal places as needed.)
Now determine the critical values.
+¹/2 = + (Round to three decimal places as needed.)
What is the conclusion of the hypothesis test?
Since the test statistic
in the rejection region,
b. The 99% confidence interval is from to.
(Round to three decimal places as needed.)
но-
OB. Ho: H₁ H₂
H₂H₁ H₂
OD. Ho. Hiếu
H₂= P₁ = P₂
OF. Ho H₁ H₂
H₂H₁ H₂
Transcribed Image Text:Provided below are summary statistics for independent simple random samples from two populations. Use the pooled t-test and the pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. X₁14, s, 2.1, n₁ = 15, X₂ = 16, s₂ = 2.3, n₂ = 15 a. Two-tailed test, α = 0.01 b. 99% confidence interval a. First, what are the correct hypotheses for a two-tailed test? OA. Ho: H₁ H₂ H₂: H₁ H₂ ỌC. Ho: HH2 H₂: H₁ H₂ O E. Ho: H₁ H₂ H₂: H₁ H₂ Next, compute the test statistic. t= (Round to three decimal places as needed.) Now determine the critical values. +¹/2 = + (Round to three decimal places as needed.) What is the conclusion of the hypothesis test? Since the test statistic in the rejection region, b. The 99% confidence interval is from to. (Round to three decimal places as needed.) но- OB. Ho: H₁ H₂ H₂H₁ H₂ OD. Ho. Hiếu H₂= P₁ = P₂ OF. Ho H₁ H₂ H₂H₁ H₂
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