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
Andrej [43]
3 years ago
14

Fizzy Waters has been involved in multiple lawsuits regarding the alkaline substance concentration in their product and getting

in trouble with clients about the numerous health claims they have been making. The last thing they want to deal with is not delivering on the advertised amount of content. They want to ensure that the filling process of their 160 oz (1.25 gal) bottles of alkaline water is not highly variable. The quality control engineer at Fizzy Waters suggests repairing the filling machine if the variance of the process is more than 25 oz. 8 random samples were collected and their content in ounces (oz) is given in the table below.
158.2 162.8 161.5 161.2 166.5 160.1
158.4 175.6 159.9 168.8 161.9 163.7
Perform a hypothesis test with 90% reliability to determine whether the filling machine needs to be repaired. Based on the test, explain why the filling machine needs or does not need to be repaired.
Mathematics
1 answer:
ser-zykov [4K]3 years ago
8 0

Answer:

Step-by-step explanation:

For the sample, n = 12

Mean, x = (158.2 + 162.8 + 161.5 + 161.2 + 166.5 + 160.1 + 158.4 + 175.6 + 159.9 + 168.8 + 161.9 + 163.7)/12 = 163.22

Variance, s² = (summation(x - mean)²/n

Summation(x - mean)² = (158.2 - 163.22)^2 + (162.8 - 163.22)^2 + (161.5 - 163.22)^2 + (161.2 - 163.22)^2+ (166.5 - 163.22)^2 + (160.1 - 163.22)^2 + (158.4 - 163.22)^2 + (175.6 - 163.22)^2 + (159.9 - 163.22)^2 + (168.8 - 163.22)^2 + (161.9 - 163.22)^2 + (163.7 - 163.22)^2 = 273.5368

Variance, s² = 273.5368/12 = 22.79

This is a test for a single variance. We would set up the test hypothesis.

For the null hypothesis,

H0: σ² ≥ 25

For the alternative hypothesis,

H1: σ² < 25

The formula for determining the test statistic,x² is

x² = (n - 1)s²/σ²

Where n - 1 is the degree of freedom, df.

df = 12 - 1 = 11

x² = (11 × 22.79)/25 = 10.0276

For a test of 90% reliability, Confidence level = 0.9

Cl = 1 - alpha(level of significance)

alpha = 1 - 0.9 = 0.1

The critical value from the chi-square distribution table is 17.28. Since 17.28 > 10.0276, we would reject the null hypothesis. Therefore, the filling machine does not need repair because the variance of the process is not more than 25 oz.

You might be interested in
Please answer correctly !!!!!!!will mark 50 points !!!!!!!!!!!!!!!!
kirill115 [55]

This is an infinite loop display

3 0
3 years ago
Please help me. I will make Brainliest
miv72 [106K]
I believe the correct answer is D
7 0
2 years ago
A certain region currently has wind farms capable of generating a total of 2200 megawatts (2.2 gigawatts) of power. Assuming win
sveta [45]

Answer:

<u>The correct answer is A. 4,818'000,000 kilowatt-hours per year and B. 481,800 households.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,200 Megawatts or 2.2 Gigawatts

2. Let's resolve the questions A and B:

Part A

Assuming wind farms typically generate 25​% of their​ capacity, how much​ energy, in​ kilowatt-hours, can the​ region's wind farms generate in one​ year?

2,200 * 0.25 = 550 Megawatts

550 Megawatts = 550 * 1,000 Kilowatts = 550,000 Kilowatts

Now we calculate the amount of Kilowatts per hour, per day and per year:

550,000 Kw generated by the farms means that are capable of produce 550,000 kw per hour of energy

550,000 * 24 = 13'200,000 kilowatt-hours per day

<u>13'200,000 * 365 = 4,818'000,000 kilowatt-hours per year</u>

Part B

Given that the average household in the region uses about​ 10,000 kilowatt-hours of energy each​ year, how many households can be powered by these wind​ farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (4,818'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

<u>Amount of households =  4,818'000,000/10,000 = 481,800</u>

8 0
3 years ago
Really need an answer to this please help.
Alex

Answer:

a

Step-by-step explanation:

\sqrt[4]{144a^{12}b^{3}} = \sqrt[4]{4^{2}*3^{2}a^{12}b^{3}}=\\= \sqrt[4]{2^{4}*3^{2}a^{12}b^{3}}=2a^{3}\sqrt[4]{3^{2}b^{3}} =\\}=2a^{3}\sqrt[4]{9b^{3}}

7 0
3 years ago
The diameter of a basketball is 9.50 inches. What is the volume of the ball, rounded to the nearest hundredth?
Lady_Fox [76]
448.92 cubic inches tell me if im right

8 0
3 years ago
Read 2 more answers
Other questions:
  • How do you convert fractions to decimals?​
    6·1 answer
  • A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure ABCD has A at ordered pai
    13·1 answer
  • F(t)=2t−3<br> f(7)=____<br><br> I need some help im not sure what to do here
    9·1 answer
  • 4. You are reading a book that is 268 pages. You have already read 112 pages. You read 39
    11·2 answers
  • What is the value of y?
    8·1 answer
  • Make x the subject of the formula y=4x²-2​
    15·1 answer
  • The $120 cost of the field trip was to be shared equally by all those attending. Since 8 less students attended than were expect
    10·1 answer
  • Here I will be giving a Brainiest to a good answer :D
    15·2 answers
  • Plase help I need it​
    7·1 answer
  • Giselle works as a carpenter and as a
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!