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Korvikt [17]
2 years ago
13

A scientist who studies sleep has developed a new technique to help people sleep each night. He

Mathematics
1 answer:
Andru [333]2 years ago
7 0

Considering the situation described, the scientist's null and alternative hypothesis are described by:

Null hypothesis H_0: \mu = 0; Alternative hypothesis H_1: \mu \neq 0.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is no difference, that is, the difference of the means represented by \mu is of 0, hence:

H_0: \mu = 0

At the alternative hypothesis, it is tested if there is a difference, hence:

H_1: \mu \neq 0

More can be learned about an hypothesis test at brainly.com/question/26454209

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Is 4/12 less than or greater than 4/6
tatuchka [14]
Less than
Just like how 1/4 is less than 1/2
4 0
4 years ago
Read 2 more answers
Reduce the fraction to lowest terms.
mel-nik [20]

This reduced fraction would be c. x+y/8.

You can apply the Difference of Two Squares Formula (x^2+y^2)=(x+y)(x-y). Then, you can factor out the common term 8 and cancel out the common factor x-y. Hope this helps! :)

5 0
4 years ago
How can u solve for x when there is a y in the like y=4x+8x
gregori [183]

Answer:

x = \frac{1}{12} y

Step-by-step explanation:

Given

y = 4x + 8x, that is

y = 12x ( divide both sides by 12 )

\frac{y}{12} = x, or

x = \frac{1}{12} y

5 0
4 years ago
Convert 5.100 × 10-3 to ordinary notation.<br> a.0.0005100<br> b.0.005100<br> c.510.0<br> d.5100
kondor19780726 [428]
5.100 x 10⁻³ = 5.100 x 0.001
                    = 0.005100      (shift the decimal point for 5 by 3 units left)

Alternatively, because 10⁻³ = 1/1000, therefore
5.100 x 10⁻³ = 5.1/1000

           0.0051
         ---------------
1000 | 5.100
           5000
           -------------
              1000
              1000
            
This yields the same result.

Answer: b. 0.005100
4 0
4 years ago
The average weight of a package of rolled oats is supposed to be at least 18 ounces. A sample of 18 packages shows a mean of 17.
Rom4ik [11]

Answer:

Step-by-step explanation:

The average weight of a package of rolled oats is supposed to be at least 18 ounces

Null hypothesis: u >= 18

Alternative: u < 18

Using the t-test formula, we have

t = x-u/ (sd/√n)

Where x is 17.78, u = 18, sd = 0.41 and n = 18

t = 17.78-18 / (0.41/√18)

t = -0.22 / (0.41/4.2426)

t = -0.22/ 0.0966

t = -2.277

Since, this is a left tailed test, at a significance level of 0.05, the p value is 0.01139. Since the p value is less than 0.05, we will reject the null hypothesis and conclusion that the true mean smaller than the actual specification.

6 0
3 years ago
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