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Vika [28.1K]
3 years ago
15

A 98% confidence interval is found to be (50, 60). What is the margin of error?

Mathematics
1 answer:
miss Akunina [59]3 years ago
3 0

Answer:

D. 5

Step-by-step explanation:

Mean: (50+60)/2

110/2

55

Margin of error:

60 - 55

5

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Answer:

12x6+2(6-1)

72+2x5

72+10

82

82 is the answer.

Step-by-step explanation:

Just replace the X's in the problem with 6.

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3 years ago
As an aid to the establishment of personnel requirements, the director of a hospital wishes to estimate the mean number of peopl
GenaCL600 [577]

Answer:

n = 66.564

Step-by-step explanation:

  1. Because the population is unknown, we will apply the following formula to find the sample size:

n= (\frac{zS}{E} )^{2}

Where:

z = confidence level score.

S = standard deviation.

E = error range.

   2. We will find each of these three data and replace them in the formula.

"z" theoretically is a value that measures how many standard deviations an element has to the mean. For each confidence level there is an associated z value. In the question, this level is 99%, which is equivalent to a z value of 2.58. To find this figure it is not necessary to follow any mathematical procedure, it is enough to make use of a z-score table, which shows the values ​​for any confidence interval.

The standard deviation is already provided by the question, it is S = 100.

Finally, "E" is the acceptable limit of sampling error. In the example, we can find this data. Let us note that in the end it says that the director wishes to estimate the mean number of admissions to within 1 admission, this means that she is willing to tolerate a miscalculation of just 1 admission.

Once this data is identified, we replace in the formula:

n=(\frac{(2.58)(100)}{1} )^{2}

    3. The corresponding mathematical operations are developed:

n=(\frac{258}{1} )^{2}

n= (258)^{2}

n= 66.564

4 0
3 years ago
A stock of food is enough to fees 50 persons for 14 days. How many days will the foos last if 20 persons will be added?
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Answer:

solution

Step-by-step explanation:8 days

7 0
3 years ago
A college dorm refrigerator measures 18.5 cm by 32 cm 12.2 cm. What is the volume of the collage dorm refrigerator
valina [46]

Answer:

722.24 cm

Step-by-step explanation:

The volume formula is L X W X H = V  so using that information we can do 18.5 times 32 times 12.2 which gives us 722.24 cm.

6 0
2 years ago
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