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Oksana_A [137]
3 years ago
9

In order to estimate the average electric usage per month, a sample of 81 houses was selected and the electric usage was determi

ned. Assume a population standard deviation of 450 kilowatt-hours. If the sample mean is 1858 kWh, the 95% confidence interval estimate of the population mean is
Mathematics
1 answer:
lana [24]3 years ago
6 0

Answer:

Confidence interval:  (1760,1956)

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 81

Sample mean =

\bar{x} = 1858 \text{ kWh}

Population standard deviation =

\sigma = 450 \text{ kilowatt-hours}

Confidence Level = 95%

Significance level = 5% = 0.05

Confidence interval:

\bar{x} \pm z_{critical}\displaystyle\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96

1858 \pm 1.96(\displaystyle\frac{450}{\sqrt{81}} ) = 1858 \pm 98 = (1760,1956)

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In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on th
Serggg [28]

Answer:

The weighted average is of 69.94.

Step-by-step explanation:

Weighted average:

The weighed average is found multiplying each grade by its respective weight.

The grades, and weights are:

67 on the lab, with a weight of 23% = 0.23

69 on the first major test, with a weight is 21.5% = 0.215

85 on the second major test, with a weight is 21.5% = 0.215.

63 on the final exam, with a weight of 34% = 0.34.

Weighted average:

A = 0.23*67 + 0.215*69 + 0.215*85 + 0.34*63 = 69.94

The weighted average is of 69.94.

8 0
3 years ago
The width of a rectangle is 1 3/4 feet. The rectangle is 2 1/2 feet longer than it is wide. What is the length of the rectangle?
sp2606 [1]

Answer:

length=4 1/4

Step-by-step explanation:

  1. 1 3/4 + 2 1/2
  2. convert 2 1/2 into 2/4 since 2 is half of 4
  3. add the converted number and 1 3/4 fractions
  4. 2/4 and 3/4 added will make 1 1/4
  5. add 1 1/4, 2 and 1 and it will equal 4 1/4
7 0
2 years ago
How would you convince a fellow student that the number 0.57 is a rational number? (5+ sentences please) Please help me with thi
Gre4nikov [31]

Answer:  0.57 = 57/100 this means it has to be rational.

Explanation: You have to explain to them that any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one, so any integer is a rational number.

7 0
3 years ago
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Please solve 3(-4 + x) < -33
Dvinal [7]

<u><em>Answer:</em></u>

<u><em>x < -7</em></u>

<u><em>Step-by-step explanation:</em></u>

<em><u>Divide both sides by 3</u></em>

<em><u>simplify</u></em>

<em><u>add 4 to both sides</u></em>

6 0
3 years ago
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A sports writer wished to see if a football filled with helium travels farther, on average, than a football filled with air. To
Vesnalui [34]

Answer:

(-3.07, 11.07)

Step-by-step explanation:

Given that a sports writer wished to see if a football filled with helium travels farther, on average, than a football filled with air. To test this, the writer used eighteen adult male volunteers. These volunteers were randomly divided into two groups of nine subjects each.

Group   Group One     Group Two  

Mean 300.00 296.00

SD 8.00 6.00

SEM 2.67 2.00

N 9     9    

The mean of Group One minus Group Two equals 4.00

 

standard error of difference = 3.333

   df = 16

t = 1.2000

Margin of error = 3.3333* t critical = 3.3333*2.121

 95% confidence interval of this difference: From -3.07 to 11.07

7 0
2 years ago
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