You wish to test the following claim (Ha) at a significance level of α=0.005. Ho:μ1=μ2 Ha:μ1>μ2 You obtain a sample of size n1=21 with a mean of M1=84.6 and a standard deviation of SD1=20.3 from the first population. You obtain a sample of size n2=27 with a mean of M2=82.1 and a standard deviation of SD2=11.5 from the second population. Use the Theory-based inference applet to conduct the test of significance. (a) What is the t-score for this sample? t-score = (Round to 2 decimal places.) (b) What is the p-value for this sample? p-value = (Round to 4 decimal places.) (c) The p-value is... less than (or equal to) α
You wish to test the following claim (Ha) at a significance level of α=0.005.
Ho:μ1=μ2
Ha:μ1>μ2
You obtain a
from the second population. Use the Theory-based inference applet to conduct the test of significance.
(a) What is the t-score for this sample?
t-score = (Round to 2 decimal places.)
(b) What is the p-value for this sample?
p-value = (Round to 4 decimal places.)
(c) The p-value is...
- less than (or equal to) α
- greater than α
(d) This p-value leads to a decision to...
- strong evidence in support of alternative
- accept the null
- null is plausible
(e) As such, the final conclusion is that...
- We conclude that μ1>μ2
- .
- We conclude that μ1=μ2
- .
- We have statistically significant evidence to support the claim that μ1>μ2
- ..
- It is plausible that μ1=μ2
.
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