Mathematics: 1. Use estimation to choose the correct value for each expression.

1. Use estimation to choose the correct value, №8772036, 16.11.2020 11:52

Mathematics

The quality-control manager at a compact fluorescent light bulb (cfl) factory needs to determine whether the mean life of a large shipment of cfls is equal to 7463 hours. the population standard deviation is 1080 hours. a random sample of 81 light bulbs indicates a sample mean life of 7163 hours.a. at the 0.05 level of significance, is there evidence that the mean life is different from 7 comma 463 hours question markb. compute the p-value and interpret its meaning.c. construct a 95% confidence interval estimate of the population mean life of the

Step-by-step answer

P Answered by Specialist

Reject the null hypothesis. There is sufficient evidence to prove that the mean life is different from 7463 hours.

95% confidence interval also supports this result.

Step-by-step explanation:

Let mu be the population mean life of a large shipment of CFLs.

The hypotheses are:

$H_{0}$ : mu=7463 hours

$H_{a}$ : mu≠7463 hours

Test statistic can be calculated using the equation:

z= $\frac{X-M}{\frac{s}{\sqrt{N} } }$ where

X is the sample mean life of CFLs (7163 hours) M is the mean life assumed under null hypothesis. (7463 hours) s is the population standard deviation (1080 hours)N is the sample size (81)

Then z= $\frac{7163-7463}{\frac{1080}{\sqrt{81} } }$ = -2.5

p-value is 0.0124, critical values at 0.05 significance are ±1.96

At the 0.05 level of significance, the the result is significant because 0.0124<0.05. There is significant evidence that mean life of light bulbs is different than 7463 hours.

95% Confidence Interval can be calculated using M±ME where

M is the sample mean life of a large shipment of CFLs (7163 hours)ME is the margin of error from the mean

margin of error (ME) from the mean can be calculated using the formula

ME= $\frac{z*s}{\sqrt{N} }$ where

z is the corresponding statistic in the 95% confidence level (1.96)s is the standard deviation of the sample (1080 hours)N is the sample size (81)

Then ME= $\frac{1.96*1080}{\sqrt{81} }$ =235.2

Thus 95% confidence interval estimate of the population mean life of the light bulbs is 7163±235.2 hours. That is between 6927.8 and 7398.2 hours.

Mathematics

The quality-control manager at a compact fluorescent light bulb (cfl) factory needs to determine whether the mean life of a large shipment of cfls is equal to 7463 hours. the population standard deviation is 1080 hours. a random sample of 81 light bulbs indicates a sample mean life of 7163 hours.a. at the 0.05 level of significance, is there evidence that the mean life is different from 7 comma 463 hours question markb. compute the p-value and interpret its meaning.c. construct a 95% confidence interval estimate of the population mean life of the

Step-by-step answer

P Answered by Specialist

Reject the null hypothesis. There is sufficient evidence to prove that the mean life is different from 7463 hours.

95% confidence interval also supports this result.

Step-by-step explanation:

Let mu be the population mean life of a large shipment of CFLs.

The hypotheses are:

$H_{0}$ : mu=7463 hours

$H_{a}$ : mu≠7463 hours

Test statistic can be calculated using the equation:

z= $\frac{X-M}{\frac{s}{\sqrt{N} } }$ where

X is the sample mean life of CFLs (7163 hours) M is the mean life assumed under null hypothesis. (7463 hours) s is the population standard deviation (1080 hours)N is the sample size (81)

Then z= $\frac{7163-7463}{\frac{1080}{\sqrt{81} } }$ = -2.5

p-value is 0.0124, critical values at 0.05 significance are ±1.96

At the 0.05 level of significance, the the result is significant because 0.0124<0.05. There is significant evidence that mean life of light bulbs is different than 7463 hours.

95% Confidence Interval can be calculated using M±ME where

M is the sample mean life of a large shipment of CFLs (7163 hours)ME is the margin of error from the mean

margin of error (ME) from the mean can be calculated using the formula

ME= $\frac{z*s}{\sqrt{N} }$ where

z is the corresponding statistic in the 95% confidence level (1.96)s is the standard deviation of the sample (1080 hours)N is the sample size (81)

Then ME= $\frac{1.96*1080}{\sqrt{81} }$ =235.2

Thus 95% confidence interval estimate of the population mean life of the light bulbs is 7163±235.2 hours. That is between 6927.8 and 7398.2 hours.

Mathematics

50 POINTS HELP PLEASE MATH BE RIGHT A box without a top is to be made to hold copious bags of candy. It is made from a rectangular piece of cardboard, with dimensions: width choose a number between 1.5 ft and 3.5 ft and length choose a number between 4 ft and 6ft , by cutting out square corners with side length x and folding up the sides.Unit 7 Test, Part 2: Modeling with Geometry Total score: 15 points Answer the following questions, showing all of your work. Submit your work to the assignment box. NOTICE how the points are broken down above each

Step-by-step answer

P Answered by Specialist

Let the length of the side of the square being cut out equal x

The length of the box would be 4.5 - 2x

The width of the box would be 3 -2x

Volume = (4.5 -2x) * (3-2x) * x

Simplify to:

V = 4x^3 - 15x^2 + 13.5x

B See picture: The greatest volume would be the point of the highest curve.

x = 0.589 y = 3.565, Rounded to the nearest tenth x = 0.6

Process: entered the equation from A into Desmos. The Y value would be the volume, so found where the volume was the highest and then found the related x value.

C) X is the side length of the corner squares being cut out, which would also be the height of the box. The Y value is the volume of the box.

Mathematics

50 POINTS HELP PLEASE MATH BE RIGHT A box without a top is to be made to hold copious bags of candy. It is made from a rectangular piece of cardboard, with dimensions: width choose a number between 1.5 ft and 3.5 ft and length choose a number between 4 ft and 6ft , by cutting out square corners with side length x and folding up the sides.Unit 7 Test, Part 2: Modeling with Geometry Total score: 15 points Answer the following questions, showing all of your work. Submit your work to the assignment box. NOTICE how the points are broken down above each

Step-by-step answer

P Answered by Specialist

Let the length of the side of the square being cut out equal x

The length of the box would be 4.5 - 2x

The width of the box would be 3 -2x

Volume = (4.5 -2x) * (3-2x) * x

Simplify to:

V = 4x^3 - 15x^2 + 13.5x

B See picture: The greatest volume would be the point of the highest curve.

x = 0.589 y = 3.565, Rounded to the nearest tenth x = 0.6

Process: entered the equation from A into Desmos. The Y value would be the volume, so found where the volume was the highest and then found the related x value.

C) X is the side length of the corner squares being cut out, which would also be the height of the box. The Y value is the volume of the box.

Mathematics

Which of the following is not true when dealing with independent samples? choose the correct answer below. a. the confidence interval estimate of µ 1-µ 2 is ( x 1 - x 2 ) - e ( µ 1 - µ 2 ) ( x 1 - x 2 ) + e. b. when making an inference about the two means, the p-value and traditional methods of hypothesis testing result in the same conclusion as the confidence interval method. c. the variance of the differences between two independent random variables equals the variance of the first random variable - the variance of the second random variable.

Step-by-step answer

P Answered by Master

2

Step-by-step explanation:

Give that hypothesis testing is done using independent samples.

A) The confidence interval estimate of µ 1-µ 2 is ( x 1 - x 2 ) - E < ( µ 1 - µ 2 ) < ( x 1 - x 2 ) + E.

This is true. because margin of error is subtracted and added to get lower/upper bounds.

B) When making an inference about the two means, the P-value and traditional methods of hypothesis testing result in the same conclusion as the confidence interval method. True

C) False because Var(X-Y) = Var(x)+Var(Y) when independent

D) True.

Mathematics

Which of the following is not true when dealing with independent samples? choose the correct answer below. a. the confidence interval estimate of µ 1-µ 2 is ( x 1 - x 2 ) - e ( µ 1 - µ 2 ) ( x 1 - x 2 ) + e. b. when making an inference about the two means, the p-value and traditional methods of hypothesis testing result in the same conclusion as the confidence interval method. c. the variance of the differences between two independent random variables equals the variance of the first random variable - the variance of the second random variable.

Step-by-step answer

P Answered by Specialist

2

Step-by-step explanation:

Give that hypothesis testing is done using independent samples.

A) The confidence interval estimate of µ 1-µ 2 is ( x 1 - x 2 ) - E < ( µ 1 - µ 2 ) < ( x 1 - x 2 ) + E.

This is true. because margin of error is subtracted and added to get lower/upper bounds.

B) When making an inference about the two means, the P-value and traditional methods of hypothesis testing result in the same conclusion as the confidence interval method. True

C) False because Var(X-Y) = Var(x)+Var(Y) when independent

D) True.

Mathematics

A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=929 and x=523 who said yes . Use a 99% confidence level. a. Find the best point estimate of the population P. (Round to three decimal places as needed) b. Identify the value of margin of error E. (Round to four decimal places as needed) c. Construct a confidence interval. ___ p . (Round to three decimal places as needed) d. Write a statement that correctly interprets the confidence interval. Choose the correct answer bellow 1. One has 99% conficence

Step-by-step answer

P Answered by Master

Step-by-step explanation:

Hello!

The variable of interest is

X: Number of people that feel vulnerable to identity theft in a sample of 929.

This variable is discrete and has a binomial distribution. X~Bi(n;p)

The parameter of interest is the population proportion of people that feel vulnerable to identity theft.

To calculate the 99% CI for the population proportion you have to use the approximate distribution to normal for the sample proportion p'≈N(p; $\frac{p(1-p)}{n}$ )

a. The best point estimate for p is the sample proportion p' you calculate it as:

p'= x/n= 523/929= 0.56

b. The formula for the confidence interval is

p' ± $Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$

Where $Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$ is the margin of error

In this case $Z_{1-\alpha /2}= Z_{0.995}= 2.586$

$Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }= 2.586*\sqrt{\frac{0.56*0.44}{929} }= 0.04$

c. Then the interval is

0.56 ± 0.04

[0.52;0.6]

d.

With a 99% confidence level, you can expect that the interval [0.52;0.6] will include the true value of the proportion of people that feel vulnerable to identity theft.

The correct answer is

3. there is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

I hope this helps!

Mathematics

A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=929 and x=523 who said yes . Use a 99% confidence level. a. Find the best point estimate of the population P. (Round to three decimal places as needed) b. Identify the value of margin of error E. (Round to four decimal places as needed) c. Construct a confidence interval. ___ p . (Round to three decimal places as needed) d. Write a statement that correctly interprets the confidence interval. Choose the correct answer bellow 1. One has 99% conficence

Step-by-step answer

P Answered by Master

Step-by-step explanation:

Hello!

The variable of interest is

X: Number of people that feel vulnerable to identity theft in a sample of 929.

This variable is discrete and has a binomial distribution. X~Bi(n;p)

The parameter of interest is the population proportion of people that feel vulnerable to identity theft.

To calculate the 99% CI for the population proportion you have to use the approximate distribution to normal for the sample proportion p'≈N(p; $\frac{p(1-p)}{n}$ )

a. The best point estimate for p is the sample proportion p' you calculate it as:

p'= x/n= 523/929= 0.56

b. The formula for the confidence interval is

p' ± $Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$

Where $Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$ is the margin of error

In this case $Z_{1-\alpha /2}= Z_{0.995}= 2.586$

$Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }= 2.586*\sqrt{\frac{0.56*0.44}{929} }= 0.04$

c. Then the interval is

0.56 ± 0.04

[0.52;0.6]

d.

With a 99% confidence level, you can expect that the interval [0.52;0.6] will include the true value of the proportion of people that feel vulnerable to identity theft.

The correct answer is

3. there is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

I hope this helps!

Business

Which of the following statements are correct regarding the method of valuation by comparables? (Choose 2). 1. A firm s market value can be estimated by using the share price of any similar sized firm. 2. A firm s market value can be estimated by finding the share price of a similar firm and using that value. 3. A firm s market value can be estimated by multiplying its book value by the market/book ratio for a similar firm. 4. A firm s market value can be estimated by multiplying its earnings per share by the P/E ratio for a similar firm.

Step-by-step answer

P Answered by Master

Option 3 & 4

Explanation:

A firm's market value can be computed by multiplying it's earnings per share with P/E Ratio of a similar firm.

Earnings per share = $\frac{Earnings\ attributable\ to\ stockholders}{No.\ of\ shares\ outstanding}$

Price Earnings Ratio = $\frac{Market\ Price\ per\ share}{Earnings\ per\ share}$

The product of the above two would be the market price per share of the firm.

Similarly, Market/Book ratio = Total Market Capitalization/Book Value

Also, known as price to book ratio, the product of Market/Book ratio of a similar company and Book value of a company yields Market value of the company.

Mathematics

WILL GIVE BRAINLIST IF ANSWERD IN UNDER 5 MIN The data below represents the number of guests staying on each floor of the Luxed Hotel. qquad1,3,5,7,9,9,11,11,13,141,3,5,7,9,9,11,11,13,141, comma, 3, comma, 5, comma, 7, comma, 9, comma, 9, comma, 11, comma, 11, comma, 13, comma, 14 Which box plot correctly summarizes the data? Choose 1 Choose 1 (Choice A) A A horizontal boxplot is plotted along a horizontal axis marked from 0 to 15, in increments of 1. A left whisker extends from 1 to 3. The box extends from 3 to 11 and is divided into 2 parts by

Step-by-step answer

P Answered by Specialist

3

I am slightly confused ,but -1/4 x^2 +3x+10 I think. Letter wise F. ?

Step-by-step explanation:

x = 0 ; y = 10 ; 10 = a(0) + b(0) + c

c = 10

x=2 ; y = 15 ; 15 = a(4) + b(2) + 10 ; 5 = 4a+2b

x=4 ; y=18 ; 18 = a(16) + b(4) + 10 ; 8 = 16a + 4b

2(5) = (4a+2b)2-

8 = 16a + 4b

2 = -8a

a = -0.25

b = 2

y = (1/4)x^2 + 2x + 10 ; 4y = x^2 + 8x + 40

Hope this helped!

1. Use estimation to choose the correct value for each expression.

Faq

Try asking the Studen AI a question.