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GrogVix [38]
3 years ago
8

One sample has Aa Aa One sample has n 10 scores and a variance of s2 20, and a second sample has n 15 scores and a variance of s

2 30. What can you conclude about the pooled variance for these two samples? a. It will be closer to 30 than to 20 b. Cannot be determined from the information given. c. It will be closer to 20 than to 30. d. It will be exactly halfway between 20 and 30.
Mathematics
1 answer:
siniylev [52]3 years ago
4 0

Answer:

option (a) It will be closer to 30 than to 20

Step-by-step explanation:

Data provided in the question:

For sample 1:

n₁ = 10

variance, s₁² = 20

For sample 2:

n₂ = 15

variance, s₂² = 30

Now,

The pooled variance is calculated using the formula,

S^{2}_{p} = \frac{(n_{1}-1)\times s^{2}_{1} +(n_{2}-1)\times s^{2}_{2}}{n_{1}+n_{2}-2}

on substituting the given respective values, we get

S^{2}_{p} = \frac{(10-1)\times 20 +(15-1)\times 30}{10+15-2}

or

S^{2}_{p} = 26.0869

Hence,

the pooled variance will be closer to 30 than to 20

Therefore,

The correct answer is option (a) It will be closer to 30 than to 20

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Flura [38]

Answer:

-51/82.

Explanation:

Given two points (x1,y1)=(2,21) and (x2,y2)=(84,-30), we find the slope using the formula below:

m=\frac{y_2-y_1}{x_2-x_1}

Substitute the given points:

\begin{gathered} m=\frac{-30-21}{84-2} \\ m=-\frac{51}{82} \end{gathered}

The slope of the line that passes through the given points is -51/82.

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victus00 [196]

Answer:

Multi facets

Step-by-step explanation:

First company surveys best customers so they are highest spending

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Second company has larger number of responses

Second company has a range of plus or minus $40

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3 years ago
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Read 2 more answers
A line of a slope of 8 passes through the point (-6,4). What is its equation in point slope form?
kotykmax [81]

Answer:

\huge\boxed{y-4=8(x+6)}

Step-by-step explanation:

The equation of a line in the point-slope form:

y-y_1=m(x-x_1)

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We have:

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