PLSS HELP I NEED THIS

Every day a factory produces 5000 light bulbs, of which 2500 are type 1 and 2500 are type 2. if a sample of 40 light bulbs is se

alisha [4.7K]

The solution: = 40, p = q = 0.5 P[x] = nCx *p^x *q^(n-x) when p = q = 0.5, the formula simplifies to P[x] = nCx/2^n = 40Cx/2^40 at least 18 of each type means 18 to 22 of (say) type I P(18 <= X <= 22) = 0.5704095 <------- qb mean = 40*0.5 = 20 SD = sqrt(npq) = sqrt(40*0.5*0.5) = 3.1623 z1= (18-20)/3.1623 = -0.63 , z2 = (22-20)/3.1623 = 0.63 P(-0.63 < z < 0.63) = 0.4713 <-------

5 0

3 years ago

Two boards are 26 meters long altogether. One board is 8 meters long. How long is the other board?

Aleonysh [2.5K]

I think the answer is 18 because together, they are 26 meters and one is 8 so u have to subtract the total with 8 which is 26-8. the answer to that would be 18.
ANSWER: 18 meters

6 0

3 years ago

Read 2 more answers

One True Love? A survey that asked whether people agree or disagree with the statement ‘‘There is only one true love for each pe

sertanlavr [38]

Answer:

99% confidence interval for the proportion of people who disagree with the statement is [0.667 , 0.713].

Step-by-step explanation:

We are given that a survey that asked whether people agree or disagree with the statement ‘‘There is only one true love for each person." has been conducted. The result is that 735 of the 2625 respondents agreed, 1812 disagreed, and 78 answered ‘‘don’t know."

Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of people who disagree with the statement = $\frac{1812}{2625}$ = 0.69

n = sample of respondents = 2625

p = population proportion of people who disagree with statement

Here for constructing 99% confidence interval we have used One-sample z proportion statistics.

So, 99% confidence interval for the population proportion, p is ;

P(-2.58 < N(0,1) < 2.58) = 0.99 {As the critical value of z at 0.5% level

of significance are -2.58 & 2.58}

P(-2.58 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 2.58) = 0.99

P( $-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.99

P( $\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.99

99% confidence interval for p = [ $\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.69-2.58 \times {\sqrt{\frac{0.69(1-0.69)}{2625} } }$ , $0.69+2.58 \times {\sqrt{\frac{0.69(1-0.69)}{2625} } }$ ]

= [0.667 , 0.713]

Therefore, 99% confidence interval for the proportion of people who disagree with the statement is [0.667 , 0.713].

5 0

3 years ago

How many inches are in 1 mile? (5280ft = 1mi; 12in = 1ft)

7nadin3 [17]

1 mile * 5280 ft * 12 in = 63360 in

There are 63360 inches in one mile

4 0

3 years ago

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Maya is cleaning out her closet and is shocked when she realizes that she has 55 shirts. She decides to donate 40% of them.

ipn [44]

Maya is cleaning out her closet and is shocked when she realizes that she has 55 shirts. She decides to donate 40% of them. How many more shirts does she have for her ?

Answer:

The number of T-shirt that Maya will have after donating 40% is 22 shirts

Explanation:

Given:( as per the above data provided)

Total number of T-shirts = 55

Percentage of T-shirts she wish to donate = 40%

To find:

Remaining number of T-shirt left after donating?

Formula to be used:

Remaining T shirt = (Total number of T-shirt /100) X The Percentage of T-shirt she wish to donate

Steps:

Substituting all the above provided values in the formula we get,

= (55/100)*40

= 22 shirts.

Thus the number of T-shirts left with her is 22.

3 0

4 years ago