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creativ13 [48]
3 years ago
10

A random sample of 56 fluorescent light bulbs has a mean life of 645 hours. Assume the population standard deviation is 31 hours

. Construct a 95% confidence interval for the population mean
Mathematics
1 answer:
bezimeni [28]3 years ago
3 0

Answer:

Step-by-step explanation:

We want to determine a 95% confidence interval for the population mean.

Number of sample, n = 56

Mean, u = 645 hours

Standard deviation, s = 31 hours

For a confidence level of 95%, the corresponding z value is 1.96.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

645 ± 1.96 × 31/√56

= 645 ± 1.96 × 4.142

= 645 ± 8.12

The lower end of the confidence interval is 645 - 8.12 =636.88

The upper end of the confidence interval is 645 + 8.12 =653.12

Therefore, with 95% confidence interval for the population mean life of fluorescent light bulbs is between 636.88 hours and 653.12 hours

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Answer:

"Tanya bought 3 items that each cost the same amt"

"Let x represent the cost of one of Tanya's items"

  So, Tanya bought 3 items, costing x+x+x = 3x

  Note that (number of items)*(cost per item) = (number of items)*(cost/item) = cost,   [item cancels out]

 

"Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought."

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"Tanya and Tony paid the same amt. of money"

   This is an equation (the same amount means equals)

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a.) Write an equation. Let x represent the cost of one of Tanya's items

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          3x      =     4(x-2.25)

          3x  =  4x - 9.00                 [distributive principle; multiply]

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c.) Check your solution. Show your work.

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             27.00 = 27.00    ?yes

 

d) State the solution in a complete sentence.

     The problem started with:  "Tanya bought 3 items that each cost the same amt. Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought. Both Tanya and Tony paid the same amt. of money."

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Step-by-step explanation:

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