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's 8subtract 2 over 3
torisob [31]
To subtract fractions, find the LCD and then combine.
Exact form:
22/3

3 0
3 years ago
Find the simple interest to the nearest cent.        PLEASE HELP
Ipatiy [6.2K]
1. $546.00 

2. $180.00

3. $141.38

4. $3762.00

Hope I could help !
Let me know if you need help with anything else, I would be more than happy to help.
My Username: Ashlynnicole02
8 0
3 years ago
What is the slope of the line that contains the points (4, –1) and (–1, 4)?
BaLLatris [955]
I believe the correct answer is B. -5
4 0
3 years ago
Read 2 more answers
Seventy percent of children who go to the doctor have fevers. Of those with fevers, 30% also have a rash. Of those without fever
Allisa [31]

Answer:

The probability that a child with a rash does not have a fever is 22%

Step-by-step explanation:

1. Probability of having fever:

P(fever)=0.70

2. Probability of not having fever:

P(not fever)=1-P(fever)\\P(not fever)=1-0.70\\P(not fever)=0.30

3. Probability of fave fevers and a rash:

P(fever and rash)=(0.70)(0.30)=0.21

4. Probability of having a rash but not a fever:

P(rash and not fever)=(0.30)(0.20)=0.60

5. Probability of having a rash:

P(rash)=P(rash and fever)+P(rash and no fever)\\P(rash)=0.21+0.06=0.27

6. Probability a child with a rash does not have a fever

P=\frac{P(rash and not fever)}{P(rash)} =\frac{0.06}{0.27} =0.22

22% of the child at the doctor's office with a rash does not have a fever.

5 0
3 years ago
The equation of a linear function in point-slope form is y-y1=m(x-x1). Harold correctly wrote the equation y=3(x-7) using a poin
grin007 [14]

Answer:

(7, 0).

Step-by-step explanation:

We have   y =  3(x - 7)

y = 3x - 21

Point-slope form is

y - y1 = 3(x - x1)

y  -  y1 = 3x - 3x1

Comparing this to the equation y = 4x - 21 we see that y1 = 0 and x1 = 7.

5 0
3 years ago
Other questions:
  • Please help??? Pleaseeeeeeess
    5·1 answer
  • Pls help u need to simplify an equation but write the answer as a power
    10·1 answer
  • the area of a trapezoid is 780 cm squared. the shorter base is 48 cm and the height is 15 cm. Find the length of the other base
    6·1 answer
  • Which point is the image of P​
    8·1 answer
  • $21 is what percent of $28
    5·1 answer
  • Hii please answer only if you know how its timed!! I REALLY NEED TO PASS
    12·1 answer
  • What is the slope and y-intercept of this equation? y=1/2 x - 6
    12·2 answers
  • Idek how to explain this but please help me
    14·2 answers
  • Write a 2 column proof showing segment ML is congruent to Segment OL.
    14·1 answer
  • You need to find the value of x
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!