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astraxan [27]
4 years ago
13

Assume that two samples are independent simple random samples selected from normally distributed​ populations, and do not assume

that the population standard deviations are equal. Which distribution is used to test the claim that male king penguins from Marion Island weigh more than female king penguins from Marion​ Island?A. Chi-square
B.t
C.Normal
D.F
Mathematics
1 answer:
Paraphin [41]4 years ago
7 0

Answer:

Since we assume that we don't know the population deviations we need to use a t test to check the hypothesis, and the best answer is:

B.t

Step-by-step explanation:

Notation

\bar X_{1} represent the mean for male king penguins

\bar X_{2} represent the mean for the female king penguins

s_{1} represent the sample standard deviation for the sample male

s_{2} represent the sample standard deviation for the sample female

n_{1} sample size for the male penguins

n_{2} sample size for the female penguins

t would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to check if the male king penguins weigh more than female king penguins, the system of hypothesis would be:

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

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

Since we assume that we don't know the population deviations we need to use a t test to check the hypothesis, and the best answer is:

B.t

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Marlon earned $8.50 per hour plus an additional $80 in tips waiting tables on Saturday. He earned at least $131 in all. If h rep
ella [17]

Answer:

<h2>8.50h + 80 ≥131</h2>

Step-by-step explanation:

The answer is not in the option

Step one:

given data:

we are told that the hourly earning= $8.50

then additional tip=$80

total earnings=$131.

Step two:

the linear function for the total earning is the same as the equation of a line

y=mx+c

where

y represents the total earning of $131

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The expression for the situation is modeled as

<h2>8.50h + 80 ≥131</h2>
8 0
3 years ago
4. A triangle has vertices A(4, 2), B(3, 7), and C(–4, –5).
Alex

To draw the median of the triangle from vertex A, the mid point of BC must be determined. The median of the vertex A is given at (-1/2, 1). See explanation below.

<h3>How you would draw the median of the triangle from vertex A?</h3>

Recall that B = (3, 7)

and            C = (-4, -5).

  • Note that when you are given coordinates in the format above, B or C = (x, y)
  • Hence the mid point of line BC is point D₁ which is derived as:
    D₁ [ (\frac{3-4}{2}) , (\frac{7-5}{2}) ]
  • hence, the Median of the Vertex A = (-1/2, 1).

Connecting D' and A gives us the median of the vertex A. See attached graph.

<h3>What is the length of the median from C to AB?</h3>

Recall that
A → (4, 2); and

B → (3, 7)

Hence, the Midpoint will be

[(\frac{4+3}{2} ), (\frac{2+7}{2} )]

→  (\frac{7}{2}, \frac{9}{2} )

Recall that

C → (-4, 5)

Hence,

\overline{C D_{2} } =  \sqrt{[(-4 -\frac{7}{2} })^{2}  + (-5-\frac{9}{2} )^{2} ]

Simplified, the above becomes


= √(586)/2)

= 24.2074/2

= 12.1037

The length of the Median from C to AB ≈ 12

Learn more about Vertex at;
brainly.com/question/1435581
#SPJ1

5 0
2 years ago
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