An experiment samples two independent populations X and Y. • X is sampled 26 times yielding sample mean = 34.1 and sample std dev s, = 7.2. •Y is sampled 11 times yielding sample mean j = 33.7 and sample std dev s, = 9.6. %3D Do a one-tailed, pooled variance, two-sample t-test against Ho : µx - Hy = 8. In this case, the sample mean difference is a - y = The alternative hypothesis for the one-tailed test in this case is HA : Hx - HY ?? ♥ 8. The pooled sample variance of {X;} and {Y;} is The pooled sample std. dev. of (X - Y) is The test statistic has distribution T~t( In this case, the test statistic has value t = This has p-value

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An experiment samples two independent populations X and Y.
• X is sampled 26 times yielding sample mean = 34.1 and sample std dev s, = 7.2.
• Y is sampled 11 times yielding sample mean y = 33.7 and sample std dev s, = 9.6.
Do a one-tailed, pooled variance, two-sample t-test against
Но : Их — Mү — 8.
In this case, the sample mean difference is
x – y =
The alternative hypothesis for the one-tailed test in this case is
HA : µx – µy ?? v 8.
The pooled sample variance of {X;} and {Y;} is
s2
The pooled sample std. dev. of (X - Y) is
The test statistic has distribution
In this case, the test statistic has value
t =
This has p-value
p =
Transcribed Image Text:An experiment samples two independent populations X and Y. • X is sampled 26 times yielding sample mean = 34.1 and sample std dev s, = 7.2. • Y is sampled 11 times yielding sample mean y = 33.7 and sample std dev s, = 9.6. Do a one-tailed, pooled variance, two-sample t-test against Но : Их — Mү — 8. In this case, the sample mean difference is x – y = The alternative hypothesis for the one-tailed test in this case is HA : µx – µy ?? v 8. The pooled sample variance of {X;} and {Y;} is s2 The pooled sample std. dev. of (X - Y) is The test statistic has distribution In this case, the test statistic has value t = This has p-value p =
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