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3 years ago

I am running out of points!! Please help me!!

Mathematics

1 answer:

IceJOKER [234]3 years ago

7 0

ANSWER

$165.6 \degree$

EXPLANATION

The measure of arc AC corresponds to 22% + 24%=46%

The complete angle of the circle is 360°.

Therefore the measure of arc AC is

$= \frac{46}{100} \times 360$

This simplifies to

$165.6 \degree$

The correct answer is A.

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Data given and notation

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Alternative hypothesis: $\mu_{1} > \mu_{2}$

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$t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}$ (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

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For this case the value is $t_{1-\alpha/2}=1.66$

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

$t=\frac{360000-340000}{\sqrt{\frac{50000^2}{36}+\frac{40000^2}{36}}}}=1.874$

What is the p-value for this hypothesis test?

Since is a right tailed test the p value would be:

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Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the true mean for the downtown revenue restaurant seems higher than the true mean revenue for the freeway restaurant.

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