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bulgar [2K]
3 years ago
9

34 petri dishes are prepared with a growth medium. 16 are randomly selected and treated with antibiotic A. The other 18 are trea

ted with antibiotic B. Each dish is inoculated with a bacteria. Several hours later, the diameter of the bacteria colony in each dish is measured in mm, with these results:
A: 8.59, 7.80, 4.11, 8.68, 8.08, 7.86, 6.97, 8.21, 1.72, 8.13, 7.48, 6.33, 8.32, 8.65, 3.06, 8.90

B: 5.59, 6.96, 5.25, 6.46, 0.09, 7.70, 3.10, 0.94, 7.00, 7.91, 6.39, 7.45, 5.79, 6.66, 5.91, 6.62, 5.07, 7.25


Let µA and µB be the respective population mean diameters across many similar hypothetical experiments. Consider a test at level α = 0.10 of H0 : µA − µB = 0 vs. HA : µA − µB 6= 0.(a) Do you think it is plausible that the samples came from approximately normal distributions? Why or why not?
Mathematics
1 answer:
harina [27]3 years ago
8 0

Answer:

(a) According to the central limit theorem, the distributions of the sample means of sufficiently large samples randomly selected from a population with mean, μ and standard deviation, σ with replacement will be normally distributed

Therefore, given that the size of the population from which the samples were selected (34 petri dishes) is comparable the sizes of the samples, (16 and 18), therefore, the samples are approximately normal

Also given that the petri dishes were prepared with growth medium designed to increase the growth of microorganisms, with an expected amount of growth, the samples therefore came from approximately normal distributions

Step-by-step explanation:

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Two ice skaters started on opposite ends of a 200-foot-long rink and then skated toward each
SSSSS [86.1K]

Answer:

The proportion that can be used to find x is;

(200-x)/x = 7/6

Step-by-step explanation:

Now, we want to find the proportion which can be used to find x.

From the question, we are told that the father skater traveled 7 ft for every 6 ft of the slower skater;

this means that the ratio of their speed is 7:6

Now, when they passed each other , the slower skater has traveled x ft, what this means is that the faster skater will have traveled a distance of (200-x) ft at that moment they passed each other.

Mathematically, since their time is equal i.e the time they used to pass each other, then, the ratio of their distances is same as the ratio of their speeds;

Hence;

(200-x)/x = 7/6 or x/(200-x) = 6/7

3 0
3 years ago
David goes into a candy store with $5.00. He buys 9 peppermints for $0.15 each and some sour candies. Each sour candy costs $0.2
Agata [3.3K]

Answer:

5 ≥ 9*.15 + x*.25

He can buy up to 14 candies

Step-by-step explanation:

Total money ≥number of peppermints * cost per peppermint + number of sour candies * cost per sour candy

We know he has 5 dollars.  He bought 5 peppermints at $.15 cents each and x sour candies at $.25 each

Substituting in

5 ≥ 9*.15 + x*.25

5≥1.35 + .25x

Subtract 1.35 on each side

5-1.35 ≥ 1.35-1.35+.25x

3.65≥.25x

Divide by .25 on each side

3.65/.25 ≥ .25x/.25

14.6 ≥ x

He can buy up to 14 candies.  You can't buy part of a candy

6 0
3 years ago
Using all the rest of my points on this all just here for points answers will be reported
Semenov [28]
So the volume of the cylinder = pi r^2 * h
Height = 4 feet tall
Radius = 1 foot
So just do pi * 1^2 * 4
3.14 x 1^2 x 4 = 12.56 cubic feet
6 0
2 years ago
Read 2 more answers
What is the value of e in e^x
Nookie1986 [14]

Answer

approximately 2.718

Step-by-step explanation

The exponential constant is an important mathematical constant and is given the symbol e. Its value is approximately 2.718. It has been found that this value occurs so frequently when mathematics is used to model physical and economic phenomena that it is convenient to write simply e.

7 0
3 years ago
Solve for x 8 is to 64 as 2 is to X
KIM [24]
8 is to 64 as 2 is to 16

x=16
5 0
3 years ago
Read 2 more answers
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