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MrRa [10]
3 years ago
6

A study was conducted to determine the mean birth weight of a certain breed of kittens. Consider the birth weights of kittens to

be normally distributed. A sample of 45 kittens was randomly selected from all kittens of this breed at a large veterinary hospital. The birth weight of each kitten in the sample was recorded. The sample mean was 3.56 ounces, and the sample standard deviation was 0.2 ounces. What is the margin of error for a 90% confidence interval on the mean birth weight of all kittens of this breed.
Mathematics
1 answer:
Scrat [10]3 years ago
8 0
1) Call x the sample mean = 3.56

2) Call s the sample standard deviation = 0.2

3) Given that the variable is normally distributed and the sample is large, you determine the interval of confidence from:

x +/- Z(0.5) s/√n

Wehre Z(0.5) is the value of the probabilities over 5% (90% of confidence mean to subtract 10%, which is 5% for each side (tails) of the normal distribuition) and is taken from tables.

Z(0.5) = 0.3085

Then the inteval is

x +/- 0.385 *s /√n = 3.56 +/- 0.385 * 0.2/√45

3.56 +/- 0.011 = ( 3.549, 3.571). This is the answer.
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Delvig [45]
I dont know im trying to figure that out

7 0
3 years ago
The length of a rectangle is 12 in and the perimeter is 56 what us the width of the rectangle
Aleks [24]
Hi there!

We can find the perimeter of a rectangle by using the following formula:

perimeter = 2 × width + 2 × length

In the question, we are given the following data: the length of the rectangle is 12 in and the perimeter is 56. Let's substitute this into our formula!

56 = 2 × width + 2 × 12
Multiply first.

56 = 2 × width + 24
Now subtract 24 from both sides.

32 = 2 × width
And finally, to find the width of the rectangle, divide both sides of the equation by 2.

16 = width
(we can eventually switch sides in the equation).

width = 16
~ Hope this helps you!
3 0
3 years ago
A car rental company charges $10 a day and 17 cents per mile to rent their cars. If the total charge for a 2-day rental were $61
borishaifa [10]

Answer:

245 miles driven.

Step-by-step explanation:

A car rental company charges $10 a day and 17 cents per mile to rent their cars. 17 cents = 0.17 dollars

Let x be the number of miles and y be the number of days

total change =0.17x  + 10y

Given total change is 61.65 and number of days = 2

plug in the values and find out the number of miles

61.65 = 0.17 x + 2(10)

61.65 = 0.17 x + 20

subtract 20 on both sides

41.65 = 0.17x

Divide by 0.17 on both sides

x = 245

245 miles driven.


7 0
2 years ago
tickets for a lower level seats sell for $35 each and tickets for an upper level seats sell for $25 each. the theater sells 350
Liono4ka [1.6K]
The work and answer is shown in the image below. Just set the variables and solve.

5 0
3 years ago
one positive integer is 2 less than another. The product of the two integers is 24. what are the two integers?
irinina [24]

If one is positive we can conclude that the other is also positive

Positive*positive=positive(24)

The product of the two numbers is 24

And the smaller number is less than the greater number by 2

Factors of 24=1*24,2*12,3*8,4*6.

The only pair with the diffrence of two is 4*6

Therefore the two integers are 4 and 6

4 0
2 years ago
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