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3241004551 [841]
3 years ago
9

Weekly math review 3:3

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0
What’s the question?
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Heights for women are bell-shaped with a mean of 65 inches and standard deviation of 2.5 inches. If a random sample of 16 women
loris [4]

Answer:

μ= 65 inches; σ= 0.625 inch

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed(bell-shaped) random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 65, \sigma = 2.5

By the central limit theorem, the sample of 16 will have:

\mu = 65, \sigma = \frac{2.5}{\sqrt{16}} = 0.625

So the correct answer is:

μ= 65 inches; σ= 0.625 inch

8 0
3 years ago
| x | &lt; 2 <br><br> solve the inequality and then graph the solution
anzhelika [568]

Answer:

Any number smaller than 2

Step-by-step explanation:

You would graph this by wrighting a solid, filled in circle with an arrow point toward the negative numbers, because those numbers are smaller than 2

3 0
2 years ago
A medical devices company wants to know the number of hours its MRI machines are used per day. A previous study found a standard
4vir4ik [10]

The company has to study 199 machines.

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

It is given that;

Margin of error E = 0.7

Confidence interval 98% = 1-0.98 = 0.02

Standard deviation = 6 hours

Number of MRI machines needed per day n, = [(z alpha/2 * SD)/E]²

Z alpha/2 = 1.645 at alpha = 0.1

Inputting these values into n we have that

[(1.645*6)/0.7]²

= 14.1²

= 198.81 is approximately equal to 199

The company has to study 199 machines.

To know more about standard deviation visit: brainly.com/question/475676

8 0
2 years ago
A kite Has four equal sides. If 5 inches is added to each side, the new perimeter will be 56 inches. Find a side length of the o
Zina [86]

Answer:

36

Step-by-step explanation:

7 0
3 years ago
How do i do this type of slope?
nalin [4]

Answer:

because it matters where the points are located

Step-by-step explanation:

4 0
3 years ago
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