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OLga [1]
4 years ago
15

The population of current statistics students has ages with mean mu and standard deviation sigma. samples of statistics students

are randomly selected so that there are exactly 48 students in each sample. for each​ sample, the mean age is computed. what does the central limit theorem tell us about the distribution of those mean​ ages?
Mathematics
1 answer:
hram777 [196]4 years ago
3 0
Answer: The central limit theorem tells us that when random samples are chosen the results tend to approach a normal distribution.

The basic idea is that the more random samples that you select, the closer you should get to the mean. In most cases, 30 or more samples is regarded as a large enough sample to get close to the mean. Our sample is 48, so we should be close to the mean.
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Suppose that we test the hypotheses LaTeX: H_0 H 0 : LaTeX: \mu=50 μ = 50 LaTeX: H_a H a : LaTeX: \mu>50 μ > 50 Further su
s344n2d4d5 [400]

Answer: 0.0108

Step-by-step explanation:

Given : H_0:\mu=50\\\\H_a:\mu>50

Since the alternative hypotheses is right-tailed, so the test is a right-tailed test.

Sample size : n=30

The degree of freedom for t-distribution= =n-130-1=29

The by using the normal t-distribution table , we have

The P-value corresponds to t-statistic vale 2.43 and degree of freedom 29 , is 0.01075997 i.e. approximately 0.0108

6 0
3 years ago
Circumference of a circle is 15 what is the radius
Temka [501]

Answer:

r=\frac{15 }{2\pi }

Step-by-step explanation:

Circumference formula: 2πr

2πr=15

Divide 2π on both sides.

So since it won't be a integer you can leave it live that so your final answer will be:

r=\frac{15 }{2\pi }

3 0
3 years ago
Read 2 more answers
PLEASEEE HELP !! What is the value of x ?
Shtirlitz [24]

Answer:

x = 20 cm

Step-by-step explanation:

The triangles given are similar triangles because they share the same angles.  Because they are similar, their side lengths are in the same ratio, or proportion to one another.  The left side of the larger triangle has a length of 121cm + 11cm = 132cm where the smaller triangle only has a length of 11 cm.  We can put these lengths into a ratio:

\frac{larger}{smaller}=\frac{132}{11}=\frac{12}{1}

Since the other side of the triangle would have to be in the same proportion, or ratio, we can set up the following proportion:

\frac{12}{1}=\frac{(5x+10)+10}{10}=\frac{5x+20}{10}

Use cross-multiplication: 5x + 20 = (10)(12) or 5x + 20 = 120

Subtract 20 from each side: 5x + 20 - 20 = 120 - 20 or 5x = 100

Divide and solve for 'x':  5x/5 = 100/5 or x = 20 cm

4 0
3 years ago
2.) Using any tool (Desmos or by hand on scratch paper) graph the inequality. Select 3 points. One point should
insens350 [35]
The line 6x - 2y = 12 goes through -6 on the y-axis and 2 on the x-axis ie through (0, -6) and (2, 0)
The line will be solid and shaded above (towards the origin)

There are an infinite number of choices for the example points!
Here is my selection.
(0, 0) is in the solution set. 6 x 0 - 2 x 0 = 0 which is less than 12
(5, 0) is not in the solution set. 6 x 5 - 2 x 0 = 30 which is greater than 12
(2, 0) is on the line. 6 x 2 - 2 x 0 = 12
5 0
3 years ago
What is the starting point for -6 + 3
Alecsey [184]

Answer:

-3

Step-by-step explanation:

6 0
4 years ago
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