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Naily [24]
2 years ago
9

Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete part

s​ (a) and​ (b) below.
Male Female

16,051 24,017

26,378 12,962

1440 17,644

7875 17,399

18,237 12,486

15,728 16,581

14,306 16,533

26,823 18,967


a. Use a 0.05 significance level to test the claim that among​ couples, males speak fewer words in a day than females.

In this​ example, mu Subscript d is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis​ test?


The test statistic is -0.35

The P-value is 0.369

What is the conclusion based on the hypothesis​ test?

Mathematics
1 answer:
mafiozo [28]2 years ago
7 0

Answer:

See explanation section

Step-by-step explanation:

See the following images.

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As here we are given with an equilateral triangle, whose side is 3 cm, and we need to find the height and area of the equilateral triangle. So, for this let's recall that, the area of any equilateral triangle with side a is given by ;

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So, if we substitute a = 3, in our Formula, it will yield to

{:\implies \quad \sf Area_{(Equilateral\:\:Triangle)}=\dfrac{\sqrt{3}}{4}(3)^{2}}

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{:\implies \quad \boxed{\bf{Area_{(Equilateral\:\:Triangle)}=\dfrac{9\sqrt{3}}{4}\:\:cm^{2}}}}

Now, as we know that, for any triangle we also have a formula that is ;

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{:\implies \quad \sf \dfrac{1}{2}\times 3\times H=\dfrac{9\sqrt{3}}{4}}

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