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ArbitrLikvidat [17]
3 years ago
8

A sample of 75 information systems managers had an average hourly income of $40.75 with a standard deviation of $7.00. The 95% c

onfidence interval for the average hourly wage (in $) of all information system managers is
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
8 0

Answer:

The 95% confidence interval for the average hourly wage of all information system managers is (39.14,42.36)

Step-by-step explanation:

In order to calculate the 95% confidence interval for the average hourly wage we would have to calculate first the margin of error as follows:

ME=t0.05/2,n-1s/√n

for n=75, t0.025,74=1.993

Therefore, ME=1.993*7/√75

ME=1.61

Therefore, the 95% confidence interval for the average hourly income of all syatem manager would be as follows:

(X-ME,X+ME)=(40.75-1.61,40.75+1.61)

=(39.14,42.36)

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Find the value of x required for
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Step-by-step explanation:

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4 0
2 years ago
During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of $344. The next month, 400 u
leonid [27]

Answer: the cost per unit of gas is $0.38

Step-by-step explanation:

Let x represent the cost per unit of electricity.

Let y represent the cost per unit of gas.

During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of $344. It means that

600x + 100y = 344- - - - - - - - - -1

The next month, 400 units of electricity and 250 units of gas were used for a total cost of $299.

It means that

400x + 250y = 299- - - - - - - - - -1

Multiplying equation 1 by 400 and equation 2 by 600, it becomes

240000x + 40000y = 137600

240000x + 150000y = 179400

Subtracting, it becomes

- 110000y = - 41800

y = - 41800/- 110000

y = 0.38

Substituting y = 0.38 into equation 1, it becomes

600x + 100 × 0.38 = 344

600x + 38 = 344

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4 0
3 years ago
Compute the present value of $9,000 paid in four years using the following discount rates: 4 percent in year 1, 5 percent in yea
juin [17]

The sum would amount to $10,527.75 after the end of 4 years.

Step-by-step explanation:

The Problem pertains to compounding interest with varying rates over the years. Our approach to solve the problem would be in a chronological fashion starting with the 1st year

Principal- $ 9000  

Rate interest= 4%

Time period would be 1 year since the interest are considered for successive years.

We know the formulae- Amount= Principal (1+rate/100) ⁿ

Where “n”= time period= 1 in all cases

⇒Amount after 1st year at 4% rate= 9000(1+4/100)  

9000*104/100= $ 9360

This amount would serve as Principal for 2nd year

⇒Hence, Amount for 2nd year at 5% rate= 9360(1+5/100)

9000*105/100= $ 9828

⇒Similarly, Amount for 3rd year at 4% rate= 9828(1+4/100)

=9828*104/100= $ 10,221.12

⇒Amount for the last year at 3% rate= 10,221.12(1+3/100)

=10,221.12*103/100= $ 10527.75

Hence the present value of the amount is $ 10527.75 after the end of 4 years.

4 0
3 years ago
James, Priya, and Siobhan work in a grocery Store. James makes $9.00 per hour. Priya makes 20% more than James, and Siobhan make
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9*1.2 is 10.8 10.8*.85 is 9.18 so she makes $9.18 a hour
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