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Greeley [361]
2 years ago
6

Four friends had dinner at a restaurant. The bill was $45.40, and they added a 20% tip. The 4 friends shared the total cost equa

lly. How much money did each person pay?
Mathematics
1 answer:
Marysya12 [62]2 years ago
8 0

Answer:

2.27

Step-by-step explanation:

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For the hypothesis test H0: μ = 10 against H1: μ >10 and variance known, calculate the Pvalue for each of the following test
Basile [38]

Answer:

a) p_v =P(Z>2.05)=1-P(z

b) p_v =P(Z>-1.84)=1-P(z

c) p_v =P(Z>0.4)=1-P(z

Step-by-step explanation:

Some previous concepts

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

A z-test for one mean "is a hypothesis test that attempts to make a claim about the population mean(μ)".

The null hypothesis attempts "to show that no variation exists between variables or that a single variable is no different than its mean"

The alternative hypothesis "is the hypothesis used in hypothesis testing that is contrary to the null hypothesis"

Hypothesis

Null hypothesis: \mu=10

Alternative hypothesis: \mu >10

If the random variable is distributed like this: X \sim N(\mu,\sigma)

We assume that the variance is known so the correct test to apply here is the z test to compare means, the statistic is given by the following formula:

z_o=\frac{\bar X -\mu}{\sigma}

Since we have the values for the statistic already calculated we can calculate the p value using the following formulas:

Part a

p_v =P(Z>2.05)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(2.05,0,1,TRUE)"

Part b

p_v =P(Z>-1.84)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(-1.84,0,1,TRUE)"

Part c

p_v =P(Z>0.4)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(0.4,0,1,TRUE)"

Conclusions

If we use a reference value for the significance, let's say \alpha=0.05. For part a the p_v so then we can reject the null hypothesis at this significance level.

For part b the p_v>\alpha so then we FAIL to reject the null hypothesis at this significance level.

For part c the p_v>\alpha so again we FAIL to reject the null hypothesis at this significance level.

3 0
3 years ago
Nemos aquarium is filled with 2400 cm³ of water the base of the aquarium is 20 cm long and 12 cm wide what is the height of the
Arisa [49]
10 dkddlckckvk kcfkdkkfgmgg
8 0
3 years ago
Write an expression to represent the perimeter of:<br> 2a-3<br> 2a<br> 3a+1
Marina86 [1]
I am assuming this is a triangle.....P = a + b + c

P = 2a - 3 + 2a + 3a + 1....combine like terms
P = 7a - 2 <==
5 0
3 years ago
The endpoints of a line segment graphed on the coordinate system are (−7, 3) and (2, 5). What is the range of the graph?
Eduardwww [97]
I think the answer would be C
4 0
3 years ago
HELP PLEASE
Westkost [7]

Answer:

So in other words, each week he works, he gets an additional $10, to add to his collection of really $75.

Step-by-step explanation:

so, he has $85 in savings, and that he has the opportunity to gain allowance by the following function of 10(x-1).  

total funds(x) = 85 + 10(x-1)  

T(x) = 85 + 10x - 10  

T(x) = 10x + 75

8 0
3 years ago
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