MATHEMATICS HIGH SCHOOL

A machine that produces a major part for an airplane engine is monitored closely. In the past, 10% of the parts produced would be defective. With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is

Answers

Answer 1

Answer:

Answer: 216

Step-by-step explanation:

The formula to find the sample size , if prior population proportion is known :-

$n=p(1-p)((z_(\alpha/2))/(E))^2$

Given : The prior proportion of defective parts : p= 0.10

Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_(\alpha/2)=1.96$

Margin of error : $E=0.04$

Now, the required sample size will be :-

$n=0.1(0.9)(((1.96))/(0.04))^2=216.09\approx216$

Hence, the minimum required sample size = 216

Answer 2

Answer:

Final answer:

To achieve a margin of error of .04 or less with a 95% confidence level when the defect rate is 10%, at least 217 samples need to be taken.

Explanation:

The question pertains to the field of statistics, specifically sample sizes and margin of error. In order to estimate the minimum sample size needed to achieve a desired margin of error of .04 or less, we can use the formula for sample size in proportions: n = (Z^2*p*(1-p))/E^2.

In this formula:

Z refers to the z-value which, for a 95% confidence level, is 1.96.
p is the estimated proportion of defective parts, which in this case is 0.1 or 10%.
E is the desired margin of error, which is 0.04.

Substitute the values into the formula: n = (1.96^2*0.1*0.9)/(0.04^2), yielding n=216.09.

Since we can't have a fraction of a sample, we round up to get n = 217. Therefore, we need a sample size of 217 to reach a margin of error of .04 or less with a 95% confidence level.

Learn more about Sample Size Calculation here:

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After 3 hours, a bacteria colony has (25^3)^3 bacteria present. How many bacteria are in the colony

Answers

Answer:

25^9

Step-by-step explanation:

(25^3)^3 = 25^(3 * 3) = 25^9

13.A student wishes to determine the percentage of students in his school that bring a sack lunch. He decides to poll every student in his grade level. It is found that 30 percent on the students polled bring a sack lunch. The student concludes that 30 percent of the students in the school bring a sack lunch. Identify the abuse of statistics.

bad sample

small sample

nonresponse

loaded question

Answers

Answer:

The answer is Bad sample.

Step-by-step explanation:

The student polls every student in his grade level. It is found that 30 percent on the students polled bring a sack lunch.

The student concludes that 30 percent of the students in the school bring a sack lunch.

Firstly, students of a single grade do not represent the entire school population. The student here asked every student of his class, so the sample was not random. It was biased and bad.

The collected data is not representative of the population, so it is a bad sample or bad sampling.

I would say this is considered small sample, because there is nothing really wrong with his survey in terms of quality. it's not like he only survey boys or girls, or like only survey rich or poor people. In other words, his survey is from a random pool, assuming the kids in his grade are mostly normal people. Therefore, I would say that if this person surveyed more people, then he'll get much better data.

Which point lies on the graph of the finite sequence shown?5, –1, 6, 0, 7, 1, 8
, 0.75, 1, 1.25, 1.5, …

Answers

Answer:

(6,1)

Step-by-step explanation:

your welcome :))

We would need to see the graph to answer that question sorry.

If the vertices of triangle bcd are b(-3,3), c(3,5), and d(-1,0), what is the perimeter

Answers

distance formlula
D= $\sqrt{(x2-x1)^(2)+(y2-y1)^(2)}$

when you want to find the distance between points (x1,y1) and (x2,y2)

we nee
distace from
b to c
c to d
d to b

b to c is (-3,3) to (3,5)
D= $\sqrt{(3-(-3))^(2)+(5-3)^(2)}$ =2√10

c to d is (3,5) to (-1,0)
D= $\sqrt{(-1-3)^(2)+(0-5)^(2)}$ =√41

d to b is (-1,0) to (-3,3)
D= $\sqrt{(-3-(-1))^(2)+(3-0)^(2)}$ =√13

add

b to c+c to d+d to b=2√10+√41+√13

perimiter=2√10+√41+√13 units

Which one of the following would most likely have a negative linear correlation coefficient? A. the value of a car compared to its age
B. the points scored by a basketball player compared to his minutes played
C. the height of a woman compared to her age
D. the hours of daylight in a city throughout the year

Answers

The hours of daylight in a city throughout the year represent the negative linear correlation coefficient. Then the correct option is D.

What is a negative linear correlation coefficient?

Independent quantities with an inverse relationship tend to move in different directions.

In essence, any figure between 0 and -1 denotes an opposing movement of the equity stocks.

When the correlation coefficient becomes less than 0, there is a negative (opposite) correlation. This suggests that both parameters are moving in the obverse direction.

The hours of daylight in a city throughout the year represent the negative linear correlation coefficient

Then the correct option is D.

More about the negative linear correlation coefficient link is given below.

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Answer:

D. the hours of daylight in a city throughout the year

Step-by-step explanation:

A baseball player got 61 hits one season. He got h of the hits in one game. What expression represents the number of hits he got in the rest of the games? The player had nothing hits in the rest of the games.