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taibamah
17.10.2019 •
Mathematics
14 divided by 10.22 show me the steps to get the right answer.
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Ответ:
Ответ:
Comparing the p value with the significance level assumed is
we see that
so we can conclude that we have enough evidence to reject the null hypothesis, and the mean for males is significantly higher than the mean for female.
Step-by-step explanation:
Data given and notation
t would represent the statistic (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to check if the mean for males students is higher than the mean for female students, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We don't have the population standard deviation, so for this case is better apply a t test to compare means, and the statistic is given by:
And the degrees of freedom are given by
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
With the info given we can replace in formula (1) like this:
What is the p-value?
Since is a right tailed test the p value would be:
Comparing the p value with the significance level assumed is
we see that
so we can conclude that we have enough evidence to reject the null hypothesis, and the mean for males is significantly higher than the mean for female.