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SVEN [57.7K]
3 years ago
5

Q4. Find the range, standard deviation, and variance for the following sample data:

Mathematics
1 answer:
AURORKA [14]3 years ago
5 0

Answer:

40 I think but no I think

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(Based on Q1 ~ Q3) According to the Bureau of the Census, 18.1% of the U.S. population lives in the Northeast, 21.9% inn the Mid
vekshin1

Answer:

We can therefore conclude that the geographical distribution of hotline callers could be the same as the U.S population distribution.

Step-by-step explanation:

The null Hypothesis: Geographical distribution of hotline callers could be the same as the U.S. population distribution

Alternative hypothesis: Geographical distribution of hotline callers could not be the same as the U.S. population distribution

The populations considered are the Midwest, South, Northeast, and west.

The number of categories, k = 4

Number of recent calls = 200

Let the number of estimated parameters that must be estimated, m = 0

The degree of freedom is given by the formula:

df = k - 1-m

df = 4 -1 - 0 = 3

Let the significance level be, α = 5% = 0.05

For  α = 0.05, and df = 3,

from the chi square distribution table, the critical value = 7.815

<u>Observed and expected frequencies of calls for each of the region:</u>

<u>Northeast</u>

Observed frequency = 39

It contains 18.1% of the US Population

The probability = 0.181

Expected frequency of call = 0.181 * 200 = 36.2

<u>Midwest</u>

Observed frequency = 55

It contains 21.9% of the US Population

The probability = 0.219

Expected frequency of call = 0.219 * 200 =43.8

<u>South</u>

Observed frequency = 60

It contains 36.7% of the US Population

The probability = 0.367

Expected frequency of call = 0.367 * 200 = 73.4

<u>West</u>

Observed frequency = 46

It contains 23.3% of the US Population

The probability = 0.233

Expected frequency of call = 0.233 * 200 = 46

x^{2} = \sum \frac{(O_{i} - E_{i})  ^{2} }{E_{i} } ,   i = 1, 2,.........k

Where O_{i} = observed frequency

E_{i} = Expected frequency

Calculate the test statistic value, x²

x^{2} = \frac{(39 - 36.2)^{2} }{36.2} + \frac{(55 - 43.8)^{2} }{43.8} + \frac{(60 - 73.4)^{2} }{73.4} + \frac{(46 - 46.6)^{2} }{46.6}

x^{2} = 5.535

Since the test statistic value, x²= 5.535 is less than the critical value = 7.815, the null hypothesis will not be rejected, i.e. it will be accepted. We can therefore conclude that the geographical distribution of hotline callers could be the same as the U.S population distribution.  

7 0
3 years ago
she is increasing the price of her signature honey lemonade from 0.20 cents a cup to 0.25 cents. What is the percent increase?
Ne4ueva [31]
It is a 25% increase.
3 0
3 years ago
Simplify the expression. (-3 + 6i)(-3 + 5i)
Alex_Xolod [135]

Answer:

11i-6

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Dr. Goodrich wanted to demonstrate that his tires were better than those of his competitor, Dr. Goodyear. From car registration
dem82 [27]

Answer:

Dependent Variable : Tire tread wear ; Independent Variable : Tire Brand ; Confounding Variable : Person driving

Step-by-step explanation:

Dependent Variable is the variable being affected by independent variable(s). Independent Variable(s) are the causal variable, bring change in dependent variable.

Goodrich wants to demonstrate that his tires were better than those of his competitor (Goodyear). For that, he has got conducted an independent research on tires worn quality - brand wise & various factors affecting wear

  • Dependent Variable is the 'Tire tread wear '.
  • Independent Variables determining it is primarily brand : Goodrich / Goodyear ; secondarily - price, mileage, time etc

Confounding variable is an extraneous influence variable; that changes the relationship between independent & dependent variable, outcome of experimental research.

In this case : Individuals driving the vehicles could be a confounding variable. A  particular person could wear out tire more than another person.  

6 0
3 years ago
16 + 2q = 6 what’s this?
nika2105 [10]

Answer:

6 - 16 = -10

-10/2 = -5

q = -5

4 0
2 years ago
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