1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
What is the product? 5/9 × 3
Dmitry_Shevchenko [17]
<span>The answer is1.66666666667</span>
8 0
3 years ago
Help! I am trying to Simplify: 5√24
12345 [234]

Answer:

this might help better

Step-by-step explanation:

5√24

=10√6(Decimal: 24.494897)

4 0
3 years ago
12x + 2y = 6<br><br>A. solve for y<br><br>B. What is the slope and what is the y-intercept?<br><br>​
VashaNatasha [74]

Answer:

y=3

B.Slope is -6 Y intercept is 0.5

Step-by-step explanation:

8 0
2 years ago
There are six households in a rural community. Each household earns $40,000 per year. Suppose that a new resident builds a mansi
dusya [7]

Answer:

Median income has not changed

Mean income has increased

Step-by-step explanation:

Initial number of houses = 6

Earning per household = $40,000

The initial mean :

$(40,000 * 6) / 6 = $40000

Initial median :

40000, 40000, 40000, 40000, 40000, 40000

= 1/2(n+1)th term,

Median = 40000

A 7th household earns 4,000,000

Mean = ((40000*6) + 4,000,000) / 7 = $605,714

Median = 1/2(n+1)th term

40000, 40000, 40000, 40000, 40000, 40000, 4000000

Median = 4th term = 40000

7 0
3 years ago
Write the equation of the line that passes through the points (6, 3) and (-7,9). Put
satela [25.4K]

Answer:

y-3= -6/13 ⋅ (x-6)

Step-by-step explanation:

I hope this helps

4 0
2 years ago
Other questions:
  • PLease Help!!!!!!!!!!1111
    9·2 answers
  • How many triangles can be constructed with angles measuring 35º, 62º, and 83º?
    6·1 answer
  • without any natural predators rabbits can grow at a rate of 25% each year, if 6 rabbits were introduced into an area how many ra
    6·1 answer
  • Complete the table to show equivalent ratios if mark decided to increase the recipe.
    12·1 answer
  • How many real solutions does the equation y=12x-9x+4 have?
    13·1 answer
  • Ling drove at a speed of 45 miles per hour for 225 miles. How many hours did she drive?
    9·2 answers
  • You drive from your home to a vacation resort 420 miles away. You return on the same highway. The average velocity on the return
    12·1 answer
  • Solve the following automotive-services problems based on the examples shown previously.
    5·2 answers
  • How do I find the slope of a coordinate plane?
    10·1 answer
  • Answer this question ASAP
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!