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Dennis_Churaev [7]
1 year ago
6

Nga, Kai, and Jason volunteer in the school library. They want to find the average number of pages of a library book. It would b

e unreasonable to calculate the number of pages in every book to find the average. They decide they need to find a valid sample.
Inga suggests choosing 100 books from the history section to get a sample.

Kai suggests randomly selecting 100 books from the library’s entire catalog.

Jason suggests using 100 books from the teen fiction section to get a sample.

Who suggested the best way to produce a random sample that is not biased?
Mathematics
2 answers:
ikadub [295]1 year ago
6 0

Answer:

Kai suggested the best way to produce a random sample that is not biased

Step-by-step explanation:

Serga [27]1 year ago
4 0

Answer: Kai

Step-by-step explanation:

I did the assignment and got it correct

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In choice situations of this type, subjects often exhibit the "center stage effect," which is a tendency to choose the item in t
victus00 [196]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

The probability that he or she would choose the pair of socks in the center position is   p =\frac{1}{5}

The correct answer choice is

X has a binomial distribution with parameters n=100 and p=1/5  

b

The mean is  \mu = 20

The standard deviation is \sigma=4

c

The probability, P =0.0002

d

The correct answer is

The experiment supports the center stage effect. If participants were truly picking the socks at random, it would be highly unlikely for 34 or more to choose the center pair.

Using the R the probability Pe = 0.0003

The probabilities P \approx Pe

Step-by-step explanation:

Since the person selects his or her desired pair of socks at random , then the probability that the person would choose the pair of socks in the center position from all the five identical pair is mathematically evaluated as

                  p =\frac{1}{5}

                    =0.2

The mean of this distribution is mathematical represented as

           \mu = np

substituting the value

         \mu = 100 * 0.2

             \mu = 20

The standard deviation is mathematically represented as

         \sigma = \sqrt{np (1-p)}

substituting the value

           = \sqrt{100 * 0,2 (1-0.2)}

           \sigma=4

Applying normal approximation the probability that 34 or more subjects would choose the item in the center if each subject were selecting his or her preferred pair of socks at random would be mathematically represented as

               P=P(X \ge 34 )

By standardizing the normal approximation we have that

              P(X \ge 34) \approx P(Z \ge z)

Now z is mathematically evaluated as

               z = \frac{x-\mu}{\sigma }

Substituting values

             z = \frac{34-20}{4}

               =3.5

So  using the z table the P(Z \ge 3.5) is  0.0002

The probability P and Pe that 34 or more subject would choose the center pair is very small  So

The correct answer is

The experiment supports the center stage effect. If participants were truly picking the socks at random, it would be highly unlikely for 34 or more to choose the center pair.

 

6 0
2 years ago
According to a 2011 report by the United States Department of Labor, civilian Americans spend 2.75 hours per day watching televi
marusya05 [52]

Answer:

Step-by-step explanation:

Confidence interval is written in the form, sample mean ± margin of error

The sample mean is an estimator for the population mean. The confidence level is used to express how confident we are that the population mean is within the calculated confidence interval. The lower limit of the given confidence interval is 2.619 hours/day while the upper limit of the confidence interval is 3.401 hours/day

Therefore, the INVALID interpretations of the 95% confidence interval are

A. About 95% of all Cal Poly students spend between 2.619 and 3.401 hours/day watching TV.

B. There is a 95% chance that, on average, Cal Poly students spend between 2.619 and 3.401 hours/day watching TV.

D. In the long run, 95% of the sample means will be between 2.619 and 3.401 hours.

E. None of the above.

3 0
1 year ago
198 cents to 234 cents using a fraction in simplest form
Irina-Kira [14]

Answer:

11/13

Step-by-step explanation:

198/234

(198/18)/(234/18)

11/13

4 0
2 years ago
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The dot plot shows how many games of chess 8 different members of the chess club played in one month. If Jackson is a new member
stira [4]

Answer:

9

Step-by-step explanation:

8 0
2 years ago
Juan put three square tiles with sides 8 centimeters, 10 centimeters, and x centimeters together so that they form a right trian
Elan Coil [88]
Since the area of a square is equal to the square of one of its side's length, then the area should be equivalent to x^{2}.
A = x^{2} ---> equation (1)
By using pythagoras rule which states that the x^{2} = hyp^2 - opposite^2---> equation (2)
where the opposite side's length is 8 and the hypotenuse side's length is 10
by substituting by the values in equation (2) therefore,
x^{2} = 10^{2} - 8^{2} substitute this value in equation (1) then
A = x^{2} = 10^{2} -8^{2}
where A is the area of the square whose side is x
6 0
1 year ago
Read 2 more answers
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