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inessss [21]
3 years ago
12

The producer of a certain bottling equipment claims that the variance of all its filled bottles is .027 or less. A sample of 30

bottles showed a standard deviation of .2. The p-value for the test is _____.
Mathematics
2 answers:
alexandr402 [8]3 years ago
4 0

Answer:

p-value = 0.0458

Step-by-step explanation:

We are given sample size; n = 30

Variance = 0.027

Standard deviation; S = 0.2

The value we want to test will be given by;

σ_o = √var = √0.027 = 0.1643

α = significance level

Before we test the hypothesis, let's calculate the statistic given by;

t = (n-1)[s/σ_o]²

So, t = (30 - 1)[0.2/0.1643]² = 42.972

Now, let's state the hypothesis ;

H1; σ ≤ 0.027

H0; σ > 0.027

The statistic has a Chi Square distribution distribution with degree of freedom as (n - 1). Thus,

The degree of freedom is,

n - 1 = 30 - 1 = 29

Using a chi square calculator online, P-value with chi square of 42.972 and degree of freedom as 29, p = 0.0458

Darya [45]3 years ago
3 0

Answer:

The p-value for the test is 0.0459.

Explanation:

The question involves a chi-squared test whose p-value is to be determined.

H₀: σ² ≤ 0.027   (null hypothesis)

H₁: σ² > 0.027    (alternative hypothesis)

Standard deviation = s = 0.2

Hence, s² = (0.2)² = 0.04

Sample size = n = 30

Degree of freedom = n - 1 = 30 - 1 = 29

Significance level = 0.05

Test statistic: X² = (n - 1)s² / σ²

                           = (30 - 1) x 0.04 / 0.027

                           = 42.9629

The p-value can now be determined using the Excel function:

CHISQ.DIST.RT(42.9629,29)  = 0.0459

Hence, the p-value for the test is 0.0459.

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Murrr4er [49]

Answer:

Melissa =13 years

 Becky = 12 years

Daniel =10 years

All share $28 in the ratio of their ages.

Becky gives a third of her share to her mother.

B : D : M : : 12 : 10 : 13

Becky's $28 = $9.60

Becky has left with =$6.40.


Read more on Brainly.in - https://brainly.in/question/295197#readmore

Step-by-step explanation:


7 0
3 years ago
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elixir [45]
Ok so given the point (r, theta)
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If A = 3x2 + 3x - 6 and B = -2x2 - 6x + 7, thenA - B equals1) -5r- 11x + 132) 5r2 + 11x – 133) -5x2-x+14) 5x2 -*+1
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5 0
1 year ago
Ms. Ferris owns a barn 12 yards long
Ratling [72]

Answer:

V = 1188 yd^3

Step-by-step explanation:

The volume or a rectangular prism is given by V = l*w*h V = 12 (9) * 11 V = 1188 yd^3  

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/6458403-msferris-owns-a-barn-12-yards-long-9-yards-high-and-11-yards.html

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What is the relationship between the ratios? 5/8 and 8/10 Drag and drop to complete the statement.
Lubov Fominskaja [6]

Answer:

NOT PROPORTIONAL

Step-by-step explanation:

The given two fractions are: $ \frac{5}{8} $ and $ \frac{8}{10} $.

Proportional fractions are those which have the same value when to reduced to the simplest form.

Consider two fractions $ \frac{p}{q} $ and $ \frac{x}{y} $.

We say they are proportional if $ p : q = x : y $.

Or, if $ py = qx $ then we can say the fractions are proportional.

Here the fractions are:  $ \frac{5}{8} $ and $ \frac{8}{10} $.

LHS: 5 X 10 = 50.

RHS: 8 X 8 = 64.

Clearly they are not equal. So, we can say these two fractions are not proportional.

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