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german
3 years ago
7

A marketing consultant was in the process of studying the perceptions of married couples concerning their weekly food expenditur

es. He believed that the husband’s perception would be higher than the wife’s. To judge his belief, he takes a random sample of ten married couples and asks each spouse to estimate the family food expenditure (in dollars) during the previous week. If the test statistic t = 2.776, with a degrees of freedom = 9, what can we conclude at α = .05?
Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0

Answer:

We have sufficient evidence to conclude at α = .05 that the husband’s perception would be higher than the wife’s.

Step-by-step explanation:

The hypotheses testing procedure in the given scenario is

H0: Husband’s perception would be similar to the wife’s i.e. μh=μw

Ha: Husband’s perception would be higher than the wife’s i.e. μh>μw

Level of significance: α=0.05

Test statistic: t=2.776

Critical region: t>t(0.05,9)=1.833

Conclusion: As the calculated value of t lies in critical region, so we reject our null hypothesis at 0.05 level of significance. Thus, we have sufficient evidence to conclude at α = .05 that the husband’s perception would be higher than the wife’s.

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Hoochie [10]

Given:

The ratio of red and blue cubes is 4:7.

After adding 10 more red cubes the ratio of red and blue cubes is 6:7.

To find:

The number of blue cubes.

Solution:

The ratio of red and blue cubes is 4:7.

Let the number of red and blue cubes be 4x and 7x respectively.

After adding 10 more red cubes.

Number of red cubes = 4x+10

Then, the ratio of red and blue cubes is 6:7.

\dfrac{4x+10}{7x}=\dfrac{6}{7}

7(4x+10)=6(7x)

28x+70=42x

70=42x-28x

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Divide both sides by 14.

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Now,

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Therefore, the number of blue cubes is 35.

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3 years ago
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Answer:

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3 years ago
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3 years ago
(-2,3), (6,9)<br> Find the distance between the two points.
suter [353]

Answer:

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Step-by-step explanation:

Input Data :

Point 1  ( x A , y A )  = (-2, 3)

Point2 (  x B , y B )  = (6, 9)

Objective :

Find the distance between two given points on a line?

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