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adoni [48]
3 years ago
8

The owner of a large fast food chain is considering whether to re-open the dining rooms of his restaurants now that it is legal

in the state of Georgia. He is interested to know what percentage of his employees support the re-opening, so he decides to conduct a survey. (a) Which of the following plans would be more likely to produce a sample statistic very close to the true percentage who support re-opening? A simple random sample of 34 employees A simple random sample of 340 employees Both plans are equally likely to get this result, since they are both random samples. (b) He thinks it would be easier to sample employees by randomly selecting franchise locations (individual restaurants) and asking managers to administer surveys to all the workers at the selected restaurants, what kind of sampling method should he use? a) Cluster sample b) Systematic sample c) Convenience sample d) Stratified sample
Mathematics
1 answer:
UkoKoshka [18]3 years ago
8 0

Answer:

<u>a)  A simple random sample of 340 employees</u>

<u>b)  a) Cluster sample </u>

Step-by-step explanation:

a) <em>Remember</em>, the sample size of most research work is a factor to consider in other to determine if the data collected represents the true percentage of the entire population.

Hence, a small random sample of 34 employees will not give more precise information than a larger sample of 340 employees because the larger sample contains more representation of the population.

b) A cluster sample is best used in this case because it involves<u> dividing the population into several clusters or groups,</u> then the researcher r<u>andomly selects a particular cluster or group </u>in other collect research data for analysis.

Whereas in this case, the randomly selected clusters are the different (individual restaurant) franchise locations.

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What are the dimensions of a rectangular box with a volume of 50b 3 + 75b2 - 2b - 3?
Inessa [10]

Answer:

\large\boxed{(2b+3)\times(5b-1)\times(5b+1)}

Step-by-step explanation:

The formula of a volume of a rectangular box:

V=lwh

<em>l</em><em> - lenght</em>

<em>w</em><em> - width</em>

<em>h</em><em> - height</em>

V=50b^3+75b^2-2b-3=25b^2(2b+3)-1(2b+3)\\\\=(2b+3)(25b^2-1)=(2b+3)(5^2b^2-1^2)\\\\=(2b+3)\bigg((5b)^2-1^2\bigg)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(2b+3)(5b-1)(5b+1)

Therefore the dinemsions of thisp prism are:

(2b+3)\times(5b-1)\times(5b+1)

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3 years ago
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15. Ms. Mason is a kindergarten teacher whose gross income last year was $34,200. She made a $2000 contribution to an IRA. If sh
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Answer:28350?

Step-by-step explanation:

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3 years ago
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A population of values has a normal distribution with μ = 202.1 and σ = 24 . You intend to draw a random sample of size n = 64 .
n200080 [17]

Answer: p= 0.0532

Step-by-step explanation: from the question

u= population mean = 202.1

σ= population standard deviation = 24

n = sample size = 64.

Since the sample size is greater than 30 and the population standard deviation is known, then the z score is the appropriate to get the probabilistic value.

Z = (x - u) /(σ/√n)

Where x = sample mean.

At x = 204.5, we have the z score as

Z = 204.5 - 202.1/ (24/√64)

Z = 2.4/ (24/8)

Z = 2.4/ 3

Z = 0.8

At x = 205.1, we have the z score as

Z = 205.1 - 202.1/ (24/√64)

Z = 3/ (24/8)

Z = 3/3

Z = 1.

Since the distribution is normal, we compute the probability value attached to the z score using the z table.

Graphical illustration as attachment in the answer.

Note the area under the z score is the probability value of the z score.

As we can see, the area to the left of the shaded area is a, the shaded area is b and the area to the right of the shaded area is c

We have that

a + b + c = 1

Note, the table I'm using only gives area to the left of the distribution.

Area a

To get area a, we use a z score table whose area is to the left of the distribution.

At 0.8, according to the table the area left of 0.8 is 0.78814.

Area c

Area c is right of the distribution and our table is left of the distribution, but 1 - area to the left = area to the right ( since area to left + area to right =1).

Hence area to the left of 1.0 = 0.84134

Area c = 1 - 0.84134 = 0.15866.

Thus, a = 0.78814, c = 0.15866

a + b + c = 1

0.78814 + b + 0.15866 = 1

0.9468 + b = 1

b = 1 - 0.9468

b = 0.0532.

Hence the probability of random variable between 204.5 & 205.1 is 0.0532

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3 years ago
HELP ASAP I GIVE BIG BRAIN
sukhopar [10]

A function is a relation where there is only one output for every input. In other words for every x value, there is only one y value.

Example : Multiply by 3 is a very simple function.

Input : 0 Output : 0

Input : 1 Output : 3

Input : 2 Output : 6

Input : 3 Output :9

And so on!

Hope this helps!

6 0
2 years ago
Which of the following is a logarithmic function?
katovenus [111]

Answer:

A

Step-by-step explanation:

logarithmic= log

The only one with log in it is A

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