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LenaWriter [7]
3 years ago
15

A company manufactures 2,000 units of its flagship product in a day. The quality control department takes a random sample of 40

units to test for quality. The product is put through a wear-and-tear test to determine the number of days it could last. If the product has a lifespan of less than 26 days, it is considered defective. The table gives the sample data that a quality control manager collected.
39 31 38 40 29
32 33 39 35 32
32 27 30 31 27
30 29 34 36 25
30 32 38 35 40
29 32 31 26 26
32 26 30 40 32
39 37 25 29 34

Which sample size would you use to get the best point estimate?
A.
90
B.
70
C.
150
D.
500
E.
280
Mathematics
2 answers:
shepuryov [24]3 years ago
5 0

Answer:

B

Step-by-step explanation:

The recommended sample size n for point estimates is:

n = NX / (N + X - 1)

where N is the population size, and X is defined as:

X = Z² p (1 - p) / E²

where Z is the critical value, p is the sample proportion, and E is the margin of error.

Assume a confidence level of level of 95% and a margin of error of 5%.

α = 0.05, Z(α/2) = 1.96

E = 0.05

Of the 40 units tested, 2 had lifespans less than 26 days.  So the proportion is:

p = 2/40 = 0.05

Therefore:

X = (1.96)² (0.05) (1 - 0.05) / (0.05)²

X = 73

Given N = 2000:

n = (2000) (73) / (2000 + 73 - 1)

n = 70.45

Rounding, the recommended sample size is 70.

Nezavi [6.7K]3 years ago
5 0

Answer:

B

Step-by-step explanation:

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Joseph has 24 cousins he has 6 more females than males how many females does he have?
Brums [2.3K]
Given that Joseph has 24 cousins, and he has 6 more females than males, the number of females will be obtained as follows;
suppose he had x males, number of females will be x+6.
The total will be:
x+(x+6)=24
x+x+6=24
2x+6=24
2x=24-6
2x=18
x=18/2
x=9
thus the number of male cousins is 9, the number of female cousins will be 9+6=15
We therefore conclude that he has 9 male cousins and 15 female cousins
6 0
3 years ago
How could you find an even better estimate of the square root of 2
vodomira [7]

Answer:

First of all you need to know the \sqrt {4} it's equal to 2 and

\sqrt {1} which is the number is between 1 and 2 and between that number there maybe the possibilities of above 0.5 or under 0.5

After that Figure out which one was bigger?  \sqrt {2} or \sqrt {3} ? The answer is \sqrt {3} and \sqrt {3} also near to \sqrt {4} so it should be above 0.5 .

So we know that \sqrt {2} is between 1 and 1.5.

Hopes that information was help you a lot

6 0
3 years ago
A Chemist needs to mix a 20% acid solution with a 50% acid solution to obtain 15 liters of a 34% acid solution. How many liters
Nuetrik [128]

8 litres (amount of 20% solution needed) and 7 litres for (amount of 50% solution needed)

<u>Step-by-step explanation:</u>

Let consider ‘x’ for 20% acid solution and (15 – x) for 50% acid solution. And so, the equation would be as below,

                         20% in x + 50% in (15 – x) = 15 litres of 34%

Convert percentage values, we get

                              0.20(x) + 0.50 (15 – x) = 15 (0.34)

                              0.20 x + 7.5 – 0.50 x = 5.1

                              -0.3 x + 7.5 = 5.1

                              0.3 x = 7.5 – 5.1

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x = \frac{2.4}{0.3} = 8 litres (amount of 20 \% solution needed)

Apply ‘x = 8’ value in (15 – x) we get,

                         15 – 8 = 7 litres

The value of 7 litres for (amount of 50% solution needed)

8 0
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If the temperature in the Arctic is -13C, but it then rises by 20C, what is the new temperature?
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Step-by-step explanation:

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4 0
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Alex787 [66]

Answer:

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Step-by-step explanation:

Using the pythagoream thereom, we know that a^2+b^2=c^2.

so x^2+17=256

That makes x the square root of 239.

4 0
2 years ago
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