Answer:
The length of the hypotenuse is 5 inches.
Step-by-step explanation:
The formula for finding the hypotenuse is ,
with a and be being the two shorter sides of the triangle, while c is the hypotenuse.
Let's plug in our values for a and b and solve.
16 + 9 =
25 =
What is the square root of 25? 5.
The length of the hypotenuse is 5 inches.
Answer:
a) Null hypothesis:
Alternative hypothesis:
b)
The degrees of freedom are given by:
The p value for this case taking in count the alternative hypothesis would be:
Step-by-step explanation:
Information given
represent the sample mean for the amount spent each shopper
represent the sample standard deviation
sample size
represent the value to verify
t would represent the statistic
represent the p value f
Part a
We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic for this case would be given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
The p value for this case taking in count the alternative hypothesis would be: