Two independent samples are taken from two approximately normal populations to test Ho:H1 = µ2 versus HA: H1 + Hz %3D If the t-test statistic is t=1.803 with df=25, which of the following is the correct conclusion at the 10% level?

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 9E
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Two independent samples are taken from two approximately normal populations to
test
Ho:H = µ2 versus HA: H1 + µ2
%3D
If the t-test statistic is t=1.803 with df=25, which of the following is the correct
conclusion at the 10% level?
Transcribed Image Text:Two independent samples are taken from two approximately normal populations to test Ho:H = µ2 versus HA: H1 + µ2 %3D If the t-test statistic is t=1.803 with df=25, which of the following is the correct conclusion at the 10% level?
Do not reject the null hypothesis and conclude that there is no evidence the true
mean of the first population is different than that of the second.
O The probability of getting a difference as extreme as t=0.10 if the null
hypothesis is true is 1.803.
Do not reject the null hypothesis and conclude that there is evidence the true
mean of the first population is different than that of the second.
Reject the null hypothesis and conclude that there is no evidence the true mean
of the first population is different than that of the second.
Reject the null hypothesis and conclude that there is evidence the true mean of
the first population is different than that of the second.
Transcribed Image Text:Do not reject the null hypothesis and conclude that there is no evidence the true mean of the first population is different than that of the second. O The probability of getting a difference as extreme as t=0.10 if the null hypothesis is true is 1.803. Do not reject the null hypothesis and conclude that there is evidence the true mean of the first population is different than that of the second. Reject the null hypothesis and conclude that there is no evidence the true mean of the first population is different than that of the second. Reject the null hypothesis and conclude that there is evidence the true mean of the first population is different than that of the second.
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