Miss penny inherits £650. She decides to save some of the money and spend the rest. The ratio of saving to spending money is 9:4
2 answers:
The amount she saves is £450 and the amount she spends is £200.
Step-by-step explanation:
Given,
The amount she has = £650
The ratio of saving to spending money is 9:4
To find the amount she saves and she spends.
Let,
The amount she saves = 9x
The amount she spends = 4x
According to the problem,
9x+4x = 650
or, 13x = 650
or, x = = 50
Hence,
The amount she saves = £50×9 = £450
The amount she spends = £50×4 = £200
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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: