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:
Answer:
the x intercept=(-6,0) and y intercept=(0,14)
Step-by-step explanation:
i used math may but put the m as w, it works
Answer:
r = - 
Step-by-step explanation:
Given that r varies inversely as t , then the equation relating them is
r =
← k is the constant of variation
To find k use the condition t = - 6 when r = - 2, then
- 2 =
( multiply both sides by - 6 )
12 = k, thus
r =
← equation of variation
when t = - 7, then
r =
= - 
Answer:
36
Step-by-step explanation:
60 times 60% (0.6) = 36