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:
15
Step-by-step explanation:
Diagram would be helpful.... I am assuming this is a right triangle with legs ratio 3:4
Answer:
x=-15
Step-by-step explanation:
50=-10(x+10)
Distribute 10: 50=-10x-100
Add 100 to both sides: 100+50=-10x-100+100
150=-10x
Simplify: 150/-10=-10x/-10
x=-15
6/40 simplified is 3/20
3/20=15/100
100-15=85
The answer is 85%