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Fed [463]
3 years ago
5

In each of the following statements, identify the boldfaced and underlined number as the value of a population parameter or a sa

mple statistic.
A power company in Pennsylvania reported that in January of a particular year that the mean number of kilowatts used by each customer was 1346.
A consumer magazine tested a random sample of 19 green teas for taste and health benefits.
The mean cost per cup of tea was reported to be 14 cents.
Mathematics
1 answer:
nydimaria [60]3 years ago
6 0

Answer:

Check Explanation

Step-by-step explanation:

Population parameter is defined as the description of characteristics for the entire population.

Sample statistic are summaries of or an estimation of the population parameter. They're description of characteristics obtained from a group of random sample elements of a population.

a) If the mean amount of kilowatts used per household was obtained by taking an average of the entire households in Pennsylvania in the January of that particular year, then the 1346 kilowatts is a population parameter.

But if the value was arrived at from sampling only a number of random households all over Pennsylvania, then it's a sample statistic.

b) Since the mean cost of a cup of tea describes a characteristic that was obtained from only 19 selected cups of green tea, it is a sample statistic.

The number 19 too, representing the number of cups of green tea in the sample is also a sample statistic.

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An option to buy a stock is priced at $150. If the stock closes above 30 next Thursday, the option will be worth $1000. If it cl
valentina_108 [34]

Answer:

Step-by-step explanation:

An option to buy a stock is priced at $150. If the stock closes above 30 next Thursday, the option will be worth $1000. If it closes below 20, the option will be worth nothing, and if it closes between 20 and 30, the option will be worth $200. A trader thinks there is a 50% chance that the stock will close in the 20-30 range, a 20% chance that it will close above 30, and a 30% chance that it will fall below 20.

a) Let X represent the price of the option

<h3><u>  x                  P(X=x) </u></h3>

$1000         20/100 = 0.2

$200          50/100 = 0.5

$0              30/100 = 0.3

b) Expected option price

= \sum x.P(X=x)\\\\ = 1000 * 0.2 + 200 * 0.5 + 0 = \$ 300

Therefore expected gain = $300 - $150 = $150

c) The trader should buy the stock. Since there is an positive expected gain($150) in trading that stock option.

7 0
3 years ago
If you are given the measurements of three angles of a triangle,
earnstyle [38]

Answer:

  B. They will all be similar

Step-by-step explanation:

You can make as many different size triangles as you like. The angles alone do not constrain the size, only the shape. The triangles you make will all be similar.

6 0
3 years ago
Read 2 more answers
What is the answer please.... need help
mina [271]

Answer:

f\left(x\right)=x^3-6x^2+3x+10 is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Step-by-step explanation:

Given the function

f\left(x\right)=x^3-6x^2+3x+10

As the highest power of the x-variable is 3 with the leading coefficients of 1.

  • So, it is clear that the polynomial function of the least degree has the real coefficients and the leading coefficients of 1.

solving to get the zeros

f\left(x\right)=x^3-6x^2+3x+10

0=x^3-6x^2+3x+10              ∵  f(x)=0

as

Factor\:x^3-6x^2+3x+10\::\:\left(x+1\right)\left(x-2\right)\left(x-5\right)=0

so

\left(x+1\right)\left(x-2\right)\left(x-5\right)=0    

Using the zero factor principle

if  ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

x+1=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0

x=-1,\:x=2,\:x=5

Therefore, the zeros of the function are:

x=-1,\:x=2,\:x=5

f\left(x\right)=x^3-6x^2+3x+10 is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Therefore, the last option is true.    

8 0
2 years ago
What are the mean, median, and mode for the following data set?
FrozenT [24]
Order the number:
15,34,71,75,75,78,78,78,82,90,90,94,100
Mode:78
Mean≈74.8
Median:78 is your final answer. Hope it help!
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3 years ago
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Which function has a domain of all real numbers?
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The answer of this question is gonna be A
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