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katovenus [111]
2 years ago
15

Announcements for 84 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean len

gth of the conferences was 3.94 days, with a standard deviation of 1.28 days. Assume the underlying population is normal. What is the error bound of 95% confidence interval for the population mean length of engineering conferences? Construct a 95% confidence interval for the population mean length of engineering conferences. What is the lower bound? Construct a 95% confidence interval for the population mean length of engineering conferences. What is the upper bound?
Mathematics
1 answer:
Marina86 [1]2 years ago
6 0

Answer:

Step-by-step explanation:

Hello!

You need to construct a 95% CI for the population mean of the length of engineering conferences.

The variable has a normal distribution.

The information given is:

n= 84

x[bar]= 3.94

δ= 1.28

The formula for the Confidence interval is:

x[bar]±Z_{1-\alpha/2}*(δ/n)

Lower bound(Lb): 3.698

Upper bound(Ub): 4.182

Error bound: (Ub - Lb)/2 = (4.182-3.698)/2 = 0.242

I hope it helps!

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The mini muffins company bakes 1872 muffins the large mini muffin boxes hold a dozen muffins how many large boxes are needed to
lilavasa [31]

Answer:

To pack 1872 muffins the mini muffins company needs 156 large boxes.

Step-by-step explanation:

Number of muffins baked by the mini muffins company  = 1872.

the large mini muffin boxes hold a dozen muffins that is the large box contains 12 muffins.( 1 Dozen = 12 )

We have to find the number of large boxes needed to pack 1872 muffins.

Using unitary method,

12 muffins is contained in 1 large box.

1 muffin is contained in \frac{1}{12} large box.

1872 muffins contained in \frac{1}{12} \times 1872=156 large boxes.

Hence, To pack 1872 muffins the mini muffins company needs 156 large boxes.



6 0
2 years ago
Morgan is walking her dog on an 8-meter-long leash. She is currently 500 meters from her house, so the maximum and minimum dista
algol [13]

Answer: The minimum and maximum distances that Morgan's dog may be from the house are 508 meters and 492 meters.

Step-by-step explanation:

Hi, to answer this question we have to solve the given equation: |x – 500| = 8.

The modulus can take a positive value (x - 500) or a negative value (-x+500).

  • <em>For the positive value: </em>

x -500 = 8

x = 8+500

x =508

  • <em>For the negative value: </em>

- (x -500) =8

-x +500 =8  

500 -8 = x

492 =x

So, the minimum and maximum distances that Morgan's dog may be from the house are 508 meters and 492 meters.

Feel free to ask for more if needed or if you did not understand something.

5 0
2 years ago
Find the product: (30 gallons 3 quarts 1 pint) × 5
SpyIntel [72]
30 gallons * 5 = 150 gallons

3 quarts * 5 = 15 quarts 

1 pint * 5 = 5 pints

Four quarts in a gallon: 15/4 = 3 gallons, 2 quarts

2 pints in a quart: 5/2 = 2 quarts, 1 pint

2 quarts + 2 quarts = 1 gallon

150 + 3 + 1 gallons + 1 pint = 153 gallons, 1 pint.
4 0
2 years ago
Read 2 more answers
How many more barrels of gasoline then diesel were produced last year gasoline 34% diesel 29% total crude oil -60 million barrel
MArishka [77]

Answer: 3 million barrels


Step-by-step explanation:

Given :- Total crude oil= 60 million barrels

Quantity of gasoline = 34% of total crude oil

=0.34\times60\text{ million barrels}\\=20.4\text{ million barrels}

Quantity of diesel = 29% of total crude oil

=0.29\times60\text{ million barrels}\\=17.4\text{ million barrels}

Clearly, Quantity of gasoline is more than Quantity of diesel

difference = Quantity of gasoline-Quantity of diesel

20.4\text{ million barrels}-17.4\text{ million barrels}\\=3\text{ million barrels}

Therefore, The production of gasoline is 3 million barrels more than diesel last year.



3 0
2 years ago
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Joaquin and Trisha are playing a game in which the lower median wins the game. Their scores are shown below.
iragen [17]
Median is defined as the middle term when the scores are arranged in increasing/decreasing order.

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Trisha's scores: 55, 74, 76, 90, 91, 92          Median: 83

The answer is letter A. 
3 0
1 year ago
Read 2 more answers
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