6-10xsimplify the expression
1 answer:
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Answer:
And we can use the following excel code to find it: "=1-T.DIST(1.356,498,TRUE)"
Step-by-step explanation:
Data given and notation
represent the mean for the sample Paleo
represent the mean for the sample Control
represent the sample standard deviation for the sample Paleo
represent the sample standard deviation for the sample Control
sample size selected Paleo
sample size selected Control
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the Paleo diet provides more weight control than the control treatment, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We don't know the population deviations, so for this case is better apply a t test to compare means, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
The first step is calculate the degrees of freedom, on this case:
Since is a one side right test the p value would be:
And we can use the following excel code to find it: "=1-T.DIST(1.356,498,TRUE)"