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aleksklad [387]
3 years ago
10

Confidence Interval Application Many people feel that the drying of pavement marking paint is much too slow. You spend several d

ays looking for the fastest drying paint you can find; you plan to measure the time (in seconds) for this paint to dry. From information provided by the paint supplier, you believe the time to dry is normally distributed with a standard deviation of 4 seconds. How many paint samples would you need to test to be able to obtain an estimate of paint drying time that is within 1.5 seconds of the actual mean drying time with a probability of 97%
Mathematics
1 answer:
djyliett [7]3 years ago
7 0

Answer:

The sample size is  n =33

Step-by-step explanation:

From the question we are told that

  The margin of error is E  =  1.5 seconds

   The standard deviation is  s =  4 seconds

 Given that the confidence level is 97% then the level of significance is mathematically represented as

      \alpha =( 100 -97)\%

=>   \alpha  =  0.03

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  2.17

Generally the sample size is mathematically represented as

    n  =[  \frac{Z_{\frac{\sigma }{2 } } *  \sigma }{E} ]^2

=> n  =[  \frac{2.17  * 4 }{1.5} ]^2

=>  n =33

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The lines below are parallel. If the slope of the green line is -2, what is the slope of the red line?
IgorLugansk [536]
Parallel lines have equal slopes, so if green line has slope = -2 then, red line's slope would be equal to -2

In short, Your Answer would be Option A

Hope this helps!
5 0
3 years ago
Read 2 more answers
Which of the following is the solution set of -2|x| < -8
Tema [17]

Answer:

{x| x < -4\:or\: x > 4}

Step-by-step explanation:

−2|x| < −8 ↷

−2x > 8 −2x < −8

___ __ ___ ___

−2 −2 −2 −2

-4 > x OR 4 < x

Whenever you multiply\divide by a <em>negative</em>, you reverse the inequality symbol.

I am joyous to assist you anytime.

3 0
3 years ago
sam and james win £500 in a competition. they share the money 3:7. sam gives 35% of the money he wins to his brother, harry. how
Black_prince [1.1K]
Sam gets (500/10)*3=150<span>£
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6 0
3 years ago
In a recent​ poll, 44​% of survey respondents said​ that, if they only had one​ child, they would prefer the child to be a boy.
viva [34]

Answer:

a) The probability that 71 of 150 will prefer boy child is 71/150 or 0.47

b) The result contradicts the poll actual percentage is 47.33% which is 3.33% more than the poll predicted

Step-by-step explanation:

If 71 out of 150 prefer boy child

The probability that the 71 will prefer boy child is

= 71/150

The actual percentage is

(71/150)*100%

= 47.33%

This contradicts the poll as this is more than the poll predicted. That means Less than 71 of 150 actually preferred boy child.

5 0
3 years ago
Explain how to factor when the leading coefficient is 1.
Bas_tet [7]

Answer:  C) Find the factors of c that add up to b.

==============================================

Explanation:

If we want to factor something in the form x^2+bx+c, then we look for two numbers that

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  • Add to b

-------------

Let's look at a specific example

Consider factoring x^2+5x+6

We need to find two numbers that...

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  • Add to b = 5

Through trial and error, you should find the two numbers to be 3 and 2. This means it factors to (x+3)(x+2). The order of the factors doesn't matter.

You can use the FOIL rule or the box method to expand out (x+3)(x+2). You should get x^2+5x+6 again.

3 0
2 years ago
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