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Bezzdna [24]
2 years ago
6

Gerald takes his family out to dinner. Garrett orders a pepperoni and mushroom pizza and a 16 oz drink. Gerald and his wife, Mag

gie, each order a chicken wrap. When the bill comes Maggie says she has a 10% off coupon. The waiter reminds them there is a 7% tax. Gerald decides to leave a 20% tip on the amount before coupons and taxes. What is the total cost including tax and tip?​
Mathematics
1 answer:
serious [3.7K]2 years ago
4 0
Well, without any prices, I can’t give you a number. And someone else may have a simpler way to do this.

But we’ll call the original bill x.

After the 10% off coupon, the bill is 0.9x
Adding tax = 0.07(0.9x) + 0.9x
Adding a tip = 0.20[0.07(0.9x) + 0.9x)]

If you have numbers to plug in, put them in a comment below & I’ll help more.
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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It
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Answer:

Test statistic = -2.25

P-value = 0.0199

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 450 gram

Sample mean, \bar{x} = 441 grams

Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

\sigma^2 = 256\\\sigma = \sqrt{256} = 16

First, we design the null and the alternate hypothesis

H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}

We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25

Now,

Degree of freedom =

=n-1 = 16-1=15

We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

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