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Slav-nsk [51]
3 years ago
15

In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a go

od first impression. Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression? Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. Repeat part (b) using a confidence level of 80%. Compare the confidence levels from parts (b) and (c) and identify the interval that is wider. Why is it wider?

Mathematics
1 answer:
jolli1 [7]3 years ago
8 0

Answer:

( a ) 463 " human resource professionals " believe that the appearance of a job applicant is most important for a good first impression

( b )  Percent wise the confidence interval should be from about 86.6% to 93.4%

Step-by-step explanation:

I believe these first two parts here is sufficient enough to get you started!

" In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. Part A: Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression?

Part B: Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. "

_____

( a ) We are given that n = 514, and p = 90%. The number of human resource professionals that said that the appearance of a job applicant is most important for a good first impression, should be the following -

514 x \frac{90}{100}

= \frac{46260}{100}

= 462.6

As the count of people can't be expressed as a fraction, the solution should be about 463 " human resource professionals. "

_____

( b ) Here the confidence level is 0.99 percent. Knowing that -

1 - ∝ = 0.99,

∝ = 1 - 0.99... = 0.01

Therefore, a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression should be calculated as directed in the attachment. By that the interval ranges as such -

0.8659 < p < 0.9341

And percent wise the confidence interval should be from about 86.6% to 93.4%

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Jamie has a collection of 78 nickels, dimes, and quarters worth $12.40. If the number of quarters is
fgiga [73]

Jamie has 25 nickels, 14 dimes and 39 quarters in his collection

Step-by-step explanation:

The given is:

1. Jamie has a collection of 78 nickels, dimes, and quarters

2. They worth $12.40

3. If the number of quarters is  doubled, the value becomes $22.15

Assume that there are n nickels, d dimes and q quarters

∵ The collection of Jamie has 78 coins

∴ n + d + q = 78 ⇒ (1)

∵ 1 nickels = 5 cents

∵ 1 dimes = 10 cents

∵ 1 quarter = 25 cents

∵ The collection of Jamie worth $12.40

- Change the value of the collection to cents

∵ $1 = 100 cents

∴ The collection of Jamie worth = 12.40 × 100 = 1240 cents

∴ 5n + 10d + 25q = 1240

- Divide all terms by 5 to simplify it

∴ n + 2d + 5q = 248 ⇒ (2)

∵ When the number of quarters is  doubled, the value becomes

   $22.15

∵ The number of quarters is q

∴ The new number of quarters is 2q

∵ The value of coins is $22.15

∵ $22.15 = 22.15 × 100 = 2215 cents

∴ 5n + 10d + 25(2q) = 2215

∴ 5n + 10d + 50q = 2215

- Divide each term by 5 to simplify it

∴ n + 2 d + 10q = 443 ⇒ (3)

Subtract equation (2) from equation (3)

∵ n + 2d + 5q = 248 ⇒ (2)

∵ n + 2 d + 10q = 443 ⇒ (3)

∴ 5q = 195

- Divide both sides by 5

∴ q = 39

Substitute the value of q in equations (1) and (2)

∵ n + d + q = 78 ⇒ (1)

∴ n + d + 39 = 78

- Subtract 39 from both sides

∴ n + d = 39 ⇒ (4)

∵ n + 2d + 5q = 248 ⇒ (2)

∴ n + 2d + 5(39) = 248

∴ n + 2d + 195 = 248

- Subtract 195 from both sides

∴ n + 2d = 53 ⇒ (5)

Subtract equation (4) from equation (5)

∵ n + d = 39 ⇒ (4)

∵ n + 2d = 53 ⇒ (5)

∴ d = 14

Substitute the value of d in equation (4)

∵ n + d = 39 ⇒ (4)

∴ n + 14 = 39

- Subtract 14 from both sides

∴ n = 25

Jamie has 25 nickels, 14 dimes and 39 quarters in his collection

Learn more:

You can learn more about solving system of equations in

brainly.com/question/13168205

brainly.com/question/2115716

#LearnwithBrainly

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