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2 years ago

Winona asked randomly selected students in

Mathematics

1 answer:

MA_775_DIABLO [31]2 years ago

3 0

Sample space=S=240
N=75
Y=165

$\\ \sf\longmapsto P(N)=\dfrac{75}{240}=\dfrac{25}{48}\approx 2$

$\\ \sf\longmapsto P(Y)=\dfrac{165}{240}$

$\\ \sf\longmapsto P(Y)=\dfrac{33}{48}$

$\\ \sf\longmapsto P(Y)=\dfrac{11}{16}$

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Answer:

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Step-by-step explanation:

It is easiest to try the answers for x=1.

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Answer:

The calculated value Z = 1.39 <1.96 at 0.05 level of significance

The null hypothesis is accepted

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 43

Given that the mean of the sample = 47

Given that the standard deviation of the Population = 25

Given that the sample size 'n' = 76

Step(ii):-

Null hypothesis:H₀: μ = 43

Alternative Hypothesis: H₁: μ ≠ 43

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{47-43 }{\frac{25}{\sqrt{76} } }$

Z = 1.39

Level of significance = 0.05

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Final answer:-

The calculated value Z = 1.39 <1.96 at 0.05 level of significance

The null hypothesis is accepted

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kicyunya [14]

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3 years ago

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Firdavs [7]

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Step-by-step explanation:

The given scenario can be drawn as shown in the following attachment.

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$m\angle DCE=\angle ACB$ and $m\angle DEC=\angle ABC=90^{\circ}$

Therefore, $\Delta ABC\sim \Delta DEC$

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AB is the height of the house.

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3 years ago

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