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mote1985 [20]
4 years ago
10

You buy $16 worth of food at a restaurant. The sales tax is 5.75% and you wish to tip 10%. What is the bill after tax, how much

tip should you leave, and what is the total cost of everything after you tip?
Mathematics
1 answer:
Mila [183]4 years ago
4 0
Sales tax on food = total cost of food x sales tax = $16 x 5.75% = $0.92
Bill after tax = total cost of food + sales tax on food = $16 + $0.92 = $16.92
Tip owned = total cost of food x tip in percent = $16 x 0.1 = $1.60

Total bill = bill after tax + tip owed = $16.92 + $1.60 = $18.52
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.A variety of stores offer loyalty programs. Participating shoppers swipe a bar-coded tag at the register when checking out and
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Answer:

a) Null hypothesis:\mu \leq 120  

Alternative hypothesis:\mu > 120  

b) t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236  

The degrees of freedom are given by:

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The p value for this case taking in count the alternative hypothesis would be:

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Step-by-step explanation:

Information given

\bar X=130 represent the sample mean for the amount spent each shopper

s=40 represent the sample standard deviation

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t would represent the statistic    

p_v 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:\mu \leq 120  

Alternative hypothesis:\mu > 120  

The statistic for this case would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

Replacing the info given we got:

t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236  

The degrees of freedom are given by:

df = n-1 = 80-1=79

The p value for this case taking in count the alternative hypothesis would be:

p_v =P(t_{79}>2.236)=0.0141  

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