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Mazyrski [523]
3 years ago
12

(8.02) An archaeological dig turns up large numbers of pottery shards, broken stone implements, and other artifacts. Students wo

rking on the project classify each artifact and assign it a number. The counts in different categories are important for understanding the site, so the project director chooses 2% of the artifacts at random and checks the students' work. What are the population and the sample here
Mathematics
1 answer:
vladimir1956 [14]3 years ago
3 0

Answer:

The answer is "Population: All artifacts discovered in the dig. Sample: The selected 2% of the artifacts".

Step-by-step explanation:

The sampling procedure is just the structure or road map towards choosing a sample, and it influences several other important elements of a survey. It provides a fundamental plan including technique for sample selection, and in this, question community of all the items found throughout the dug, and the population of the Sample is 2% of the objects picked.

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You begin with $25 in a savings account and $50 in your checking account. Each week you deposit $5 into savings and $10 into che
Phantasy [73]

Answer:

The amount in checking will always be twice in any week.

Step-by-step explanation:

Let's say, w represents the week, s represents the saving account and c represents the checking account.

Balance in saving account in any week =s=5w+25

Balance in checking account in any week  =c=10w+50

Translate the statement into mathematical equation. Remember to use " = " for word "is" in the given statement.

We have to find w for 2s = c.

Putting the values, we have:

2(5w+25)=10w+50

\Rightarrow \mathrm{True\:for\:all}\:w

Which means in each week the amount in checking is twice the amount in savings.

Best Regards!

7 0
3 years ago
Most US adults have social ties with a large number of people, including friends, family, co-workers, and other acquaintances. I
xxTIMURxx [149]

Answer:

t=\frac{669-634}{\frac{732}{\sqrt{1700}}}=1.971    

p_v =2*P(t_{(1699)}>1.971)=0.049  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 634 at 10% of signficance.

Step-by-step explanation:

Data given and notation  

\bar X=669 represent the sample mean

s=732 represent the sample standard deviation

n=1700 sample size  

\mu_o =68 represent the value that we want to test

\alpha=0. represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is different from 634, the system of hypothesis would be:  

Null hypothesis:\mu = 634  

Alternative hypothesis:\mu \neq 634  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{669-634}{\frac{732}{\sqrt{1700}}}=1.971    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=1700-1=1699  

Since is a two sided test the p value would be:  

p_v =2*P(t_{(1699)}>1.971)=0.049  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 634 at 10% of signficance.

3 0
3 years ago
    A rectangular prism has a length of 2 1/2 meters, a width of 4 meters, and a height of 2 1/4 meters.
aalyn [17]
First we need to convert our fractions into decimals, it's just a lot easier to work with.
2 1/2 is equal to 2.5
2 1/4 is equal to 2.25
Then we plug our numbers into the formula used to find the volume of a rectangle:
V=L*W*H
Volume equals Length times Width times Height.
V=2.5*4*2.25
V=22.5
22.5 is already in decimal form, or if you'd rather have a mixed number, your answer is 22 \frac{1}{2}
4 0
3 years ago
Read 2 more answers
What is the value of x in the right triangle shown? 25 cm 7 cm​
finlep [7]

Answer:

x = 24

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + b^2 = 25^2

49 + b^2 = 625

<u>-49              -49</u>

b^2 = 576

square root them

b = 24, or x = 24

<em><u>Hope this helped! Have a nice day! Plz mark as brainliest!!!</u></em>

<em><u>-XxDeathshotxX</u></em>

7 0
3 years ago
Read 2 more answers
Which best describes reduced fractions that will always terminate?
lesya692 [45]

Answer:Which fraction is a terminating decimal when written in decimal form?

Step-by-step explanation:1+1=2

4 0
3 years ago
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