For the given data, (a) find the test statistic, (b) find the standardized test statistic, (c) decide whether the standardized test statistic is in the rejection region, and (d) decide whether you should reject or fail to reject the null hypothesis. The samples are random and independent. Claim: μ1<μ2, α=0.01. Sample statistics: x1=1220, n1=35, x2=1190, and n2=65. Population parameters: σ1=65 and σ2=105. Part 1 (a) The test statistic for μ1−μ2
For the given data, (a) find the test statistic, (b) find the standardized test statistic, (c) decide whether the standardized test statistic is in the rejection region, and (d) decide whether you should reject or fail to reject the null hypothesis. The samples are random and independent. Claim: μ1<μ2, α=0.01. Sample statistics: x1=1220, n1=35, x2=1190, and n2=65. Population parameters: σ1=65 and σ2=105. Part 1 (a) The test statistic for μ1−μ2
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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For the given data, (a) find the test statistic, (b) find the standardized test statistic, (c) decide whether the standardized test statistic is in the rejection region, and (d) decide whether you should reject or fail to reject the null hypothesis. The samples are random and independent.
Claim: μ1<μ2, α=0.01.
Sample statistics: x1=1220, n1=35, x2=1190, and n2=65. Population parameters: σ1=65 and σ2=105.
Sample statistics: x1=1220, n1=35, x2=1190, and n2=65. Population parameters: σ1=65 and σ2=105.
Part 1
(a) The test statistic for μ1−μ2 is _____
b) The standardized test statistic for
μ1−μ2 is _______
(Round to two decimal places as needed.)
Part 3
(c) Is the standardized test statistic in the rejection region?
Part 4
(d) Should you reject or fail to reject the null hypothesis?
H0: μ1≥μ2; Ha: μ1<μ2. (Fail to reject/Reject) H0. At the % significance level, there is (not enough/ enough) evidence to support the claim.
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