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Math problem. The price of a community pool membership has a one time sign up fee and monthly fee. The price can be modeled by t
2 answers:
Answer: In the given function the slope (m)=20
It represents the change in price of a community pool membership with respect to the change in number of months.
Step-by-step explanation:
Given: The price of a community pool membership has a one time sign up fee and monthly fee.
The price can be modeled by the function , where x is the number of months.
We know that the equation of line is , where m is the slope of the line which shows the rate of change of y with respect to the change of x.
In the given function the slope (m)=20
It represents the change in price of a community pool membership with respect to the change in number of months.
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Answer:
Since is a right tailed test the p value would be:
Comparing the p value with the significance level we see that
so we can conclude that we have enough evidence to reject the null hypothesis, and the mean for group 1 is significantly higher than the mean for the group 2
Step-by-step explanation:
Data given
represent the mean for sample 1
represent the mean for sample 2
represent the sample standard deviation for 1
represent the sample standard deviation for 2
sample size for the group 2
sample size for the group 2
Significance level provided
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 category 1 is higher than the mean for category 2, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:
(1)
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.
With the info given we can replace in formula (1) like this:
P value
Since is a right tailed test the p value would be:
Comparing the p value with the significance level we see that
so we can conclude that we have enough evidence to reject the null hypothesis, and the mean for group 1 is significantly higher than the mean for the group 2