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
Maria bought three t-shirts at her favorite store t shirt paradise. she had a 25% of coupon and paid $45 in total.what was the o
tatiyna
Let, the original price = x
x = 45 * 125 /100
x = 45 * 1.25
x = 56.25

So, your final answer is $56.25

Hope it helped
4 0
3 years ago
Read 2 more answers
Write 7.75 x 10^-3 in standard notation​
Natasha_Volkova [10]

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

7.75 × 10^−3

4 0
3 years ago
Read 2 more answers
A rectangle measures 3 feet by 24 inches. Find the area of the rectangle in square feet.
Setler79 [48]
72 plz give brainlliest

4 0
3 years ago
Read 2 more answers
Can i get the answer to this question please???? and fast
lord [1]
The triangle must be isosceles, due to the perpendicular bisector. Therefore, the expression 20 - 15 can be used to yield an answer of B. 5.

Hope this helps!
5 0
3 years ago
Which term describes an angle that measures 100?
Katyanochek1 [597]
100 degrees would be obtuse 
8 0
3 years ago
Other questions:
  • A stone is thrown upward from ground level. With what minimum speed should the stone be thrown so as to reach a height of 36 fee
    6·1 answer
  • Find the volume of the triangular prism. A) 8 in3 B) 12 in3 C) 16 in3 D) 24 in3
    15·2 answers
  • 20 points! Please help asap
    9·2 answers
  • At a snack stand, a milkshake costs $1.49, a cheeseburger costs $3.29, and an order of curly fries costs $2.79. Hong is going to
    11·2 answers
  • 4147.21= m -[98+(.035m)+(.015m)+(.062m)+(.0145m)]
    9·1 answer
  • What is the solution to the linear equation?<br><br> 4b + 6 = 2 – b + 4
    10·2 answers
  • 3a²−4a+9=0 Use the discriminant to determine the number of real solutions to the quadratic equation.
    7·1 answer
  • In the figure above, triangle ABC is similar to<br> triangle DEF. What is the value of cos(E)?
    13·2 answers
  • 9 (x− 3 =) 45 pleas answer fast
    6·2 answers
  • Use &lt;, &gt;, or
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!