At a basketball game, a vender sold a combined total of 108 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

Answer:

Step 1: The null and alternative hypothesis for the one way analysis of variance is,

H₀ : There is no difference in the means of each area.

H₁ : At least one mean is different.

The objective of this question is to test whether the income of the three areas are significantly different.

Step 2: The problem states to use 0.05 significance level.

Step 3: The test statistic follows the F-distribution.

Step 4: Decision rule is based on the critical value.

Numerator degrees of freedom is,

K - 1 = 3 - 1

= 2

Denominator degrees of freedom is 2.

n - k = 12 - 3

= 9

Using the F-distribution table for ∝=0.05 with numerator and denominator degrees freedom, the critical value is 4.26. The decision rule is to reject H₀ if the computed value of F exceeds 4.26.

Step 5: Calculations.

Using Excel follow the steps mentioned below.

1. Import or type the data into spreadsheet.

2. Data--------> Data Analysis----------> Anova: Single Factor, click OK.

3. Select Input Range, make a tick mark on Labels in the first row, enter 0.05 for alfa.

4. Click OK.

The obtained output for the one-way ANOVA is,

[ find the figure in attachment]

From the obtained output, the computed test statistic value, F = 14.18 , which is greater than the critical value of 4.26. So, reject H₀

Step 6: Interpretation. The average income of each area is different. It can be concluded that the average income is significantly different .

Final answer:

To determine if there is a difference in the mean income between three proposed mall locations, perform an analysis of variance (ANOVA) test.

Explanation:

To determine if there is a difference in the mean income between the three proposed mall locations, we can perform an analysis of variance (ANOVA) test. This test assesses whether there is a statistically significant difference among the means of multiple groups.

First, calculate the sample mean income for each location. Then, compute the sum of squares within groups (SSW) and the sum of squares between groups (SSB). Finally, use these values to calculate the F-statistic and compare it to the critical value from the F-distribution table at the 0.05 significance level to make a conclusion.

If the computed F-statistic is greater than the critical value, we reject the null hypothesis and conclude that there is a difference in the mean income.

Learn more about ANOVA here:

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Answer:

-12

Step-by-step explanation:

Edge 2021

Answer:

first option

imagine the line y = x as a mirror

Answer:

The answer is A. "the function h because the graphs of ƒ and h are symmetrical about the line y = x"

Answer:

  x-5

Step-by-step explanation:

The middle term has a coefficient that is the sum of the constants in the binomial factors. For that to be zero, the other binomial factor must be ...

  (x -5)

__

  (x +5)(x -5) = x^2 -25 . . . . . middle term is zero

Answer:

I think that is the C

Step-by-step explanation:

Answer:

Option B is the correct answer.

Step-by-step explanation:

here, arc RT =162°

as in question given that the value of arc RT is 162° the value of angle RST is 1/2 of 162°.

so, its value must be 81°only.

hopeit helps..

Title:

See the explanation.

Step-by-step explanation:

It is given that, if 100 persons book their seats, then only 88 passengers come.

The probability of 1 passenger to come is = 0.88.

There will not be enough seats only when, 331 or more than 331 passengers will come.

The probability of 1 passenger will not come is (1 - 0.88)= 0.12.

Out of 354 passengers the probability that n passengers will come is .

The required probability is ∑, where .