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Zina [86]
2 years ago
9

Could someone help me out ill mark brainliest

Mathematics
2 answers:
zlopas [31]2 years ago
8 0

Step-by-step explanation:

1. The first graph has a negative slope (increases to the left) and has a y-intercept of 3. So, the equation of the line would be y = -2x + 3.

2. The second graph has a positive slope (increases to the right) and has a y-intercept of -3. Therefore, the equation of the line would be y = 2x - 3.

3. The third graph has a negative slope and has a y-intercept of -3. So, we can say that the equation of the line would be y = -2x - 3.

4. The fourth graph has a positive slope and a y-intercept of 3. Therefore, the equation of the line would be y = 2x + 3.

belka [17]2 years ago
5 0
The order on the right side is 3, 1, 4, 2.
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Yes, since the test statistic value is greater than the critical value.

Step-by-step explanation:

Data given and notation

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Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the true mean of revenue for downtown is higher than for freeway restaurant, the system of hypothesis would be:

Null hypothesis:\mu_{1}\leq \mu_{2}

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

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

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.

Determine the critical value.

Based on the significance level\alpha=0.05 and \alpha/2=0.025 we can find the critical values from the t distribution dith degrees of freedom df=36+36-2=55+88-2=70, we are looking for values that accumulates 0.025 of the area on the right tail on the t distribution.

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:

p_v =P(t_{70}>1.874)=0.033

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.

The best option would be:

Yes, since the test statistic value is greater than the critical value.

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