Mathematics: PLSSS HELPPP Sara and Juan went to dinner at a restaurant and their entire meal cost $26.48. If they want to give their server a 20% tip, about how much money should they leave on the table for the tip?

PLSSS HELPPP Sara and Juan went to dinner at a restaurant

Ответ:

lay2578

06.04.2023

Mathematics

$z=\frac{5.38-4.6}{\frac{2.1}{\sqrt{10}}}=1.175$

The p value can be founded with the following probability:

p_v =P(z1.175)=0.120

Since the p value is higher than the significance level of 0.01 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for this case is higher than 4.6%

Step-by-step explanation:

Information provided

$\bar X=5.38$ represent the sample mean

$\sigma=2.1$ represent the population standard deviation

n=10 sample size

$\mu_o =4.6$ represent the value to test

$\alpha=0.01$ represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to verify

We want to check if the true mean for the dividens is higher than 4.6%, the system of hypothesis would be:

Null hypothesis: $\mu \leq 4.6$

Alternative hypothesis: $\mu 4.6$

The statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$z=\frac{5.38-4.6}{\frac{2.1}{\sqrt{10}}}=1.175$

The p value can be founded with the following probability:

p_v =P(z1.175)=0.120

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PLSSS HELPPP Sara and Juan went to dinner at a restaurant and their entire meal cost $26.48. If they want to give their server a 20% tip, about how much money should they leave on the table for the tip?

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