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
il63 [147K]
3 years ago
14

A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. Following are the amounts measured in a

simple random sample of eight cans. 11.98 12.08 11.87 11.95 11.89 12.01 11.97 12.10 Assume that you want to test to determine whether the mean volume is not 12 ounces. Use LaTeX: \alpha=0.05α = 0.05 level of significance level. a) Find the test statistics.
Mathematics
1 answer:
dlinn [17]3 years ago
5 0

Answer:

The mean volume is 12 ounces.

Step-by-step explanation:

In this case we need to test whether the mean volume the machine fills the beverage cans with is 12 ounces or not.

The hypothesis for this test can be defined as:

<em>H₀</em>: The mean volume is 12 ounces. i.e. <em>μ</em> = 12 ounces.

<em>Hₐ</em>: The mean volume is not 12 ounces. i.e. <em>μ</em> ≠ 12 ounces.

As the population standard deviation is not known, we will use a <em>t</em>-test for single mean.

The sample mean and sample standard deviation is:

\bar x=\frac{1}{n}\sum X\\=\frac{1}{8}\times [11.98+12.08+11.87+11.95+11.89+12.01+11.97+12.10]\\=11.98

\text{s} = \sqrt{\dfrac{\sum_{i=1}^{n}(x_i - \overline{x})^{2}}{n - 1}}\\=\sqrt{\dfrac{\sum_{i=1}^{n}(11.98 - 11.98)^{2}}{8 - 1}}+\sqrt{\dfrac{\sum_{i=1}^{n}(12.08- 11.98)^{2}}{8 - 1}}+...+\sqrt{\dfrac{\sum_{i=1}^{n}(12.10- 11.98)^{2}}{8 - 1}}\\=0.0815Compute the test statistic as follows:

t=\frac{\bar x-\mu}{\s/\sqrt{n}}=\frac{11.98-12}{0.0815/\sqrt{8}}=-0.69

The test statistic value is -0.69.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level, then the null hypothesis will be rejected.

Compute the <em>p</em>-value of the test as follows:

p-value=2P(t_{7}

*Use a <em>t</em>-table.

The significance level of the test is, <em>α</em> = 0.05.

<em>p</em>-value = 0.512 > <em>α</em> = 0.05

The null hypothesis was failed to be rejected.

Hence, it can be concluded that the mean volume is 12 ounces.

You might be interested in
How many terms are in the expression shown? <br><br> 2n + 5 – 3p + 4q<br><br> 1<br> 2<br> 3<br> 4
MA_775_DIABLO [31]

Step-by-step explanation: A term can be a number, a variable, or a number times one or more variables.

So in this expression, the terms are +2n, +5, -3p, and +4q.

This means that there are <u>4</u> terms.

3 0
3 years ago
Read 2 more answers
What is the (10) for?
miv72 [106K]

Answer:

2(10) is implied multiplication

Step-by-step explanation:

( 18+2) + 2(10) ÷4 -2

PEMDAS

Parentheses first

( 20) + 2(10) ÷4 -2

Then exponents ( we have none)

Then multiply and divide from left to right

20 + 20÷4 -2

20 + 5-2

Then add and subtract from left to right

25 -2

23

2(10) is implied multiplication

4 0
3 years ago
Read 2 more answers
What is the total surface area of the square pyranid?​
monitta

Answer:

The general formula for the total surface area of a regular pyramid is T. S. A. =12pl+B where p represents the perimeter of the base, l the slant height and B the area of the base.

8 0
3 years ago
Read 2 more answers
A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hotdogs and 13 dozen
Kisachek [45]

Answer:

Hotdogs are $12.00 for the dozen or $1.00 each

Bratwursts are $18.00 for the dozen or $1.50 each

Step-by-step explanation:

4 0
2 years ago
What is <br> 7c — 3 &lt; — 7с — 28
Helga [31]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Can u explain when answering thanks !
    10·1 answer
  • 1. Use the diagram of the regular pentagon to support an explanation showing why the formula accurately yields the area of the p
    6·1 answer
  • What is the value of 5w if w = 6
    14·2 answers
  • Write the vertex and indicate if the graph opens up or down.
    13·2 answers
  • you have decided to purchase a car for $15,699. the credit union requires a 10% down payment and will finance the balance with a
    14·1 answer
  • A carpet salesman sold 5,000 yards of carpet in one month at an average of $3 per yard. His commission was 16%. How much money d
    5·1 answer
  • HELP I NEED HELP ASAP
    10·1 answer
  • The value of a car decreases by about 15% in the first year. How much will a car be worth it its initial value was $1,000?​
    6·1 answer
  • clifford is making a cake for his sister's birthday. the recipe calls for 1.5 times as much flour as sugar.it also called for 1/
    8·1 answer
  • Calculate the volume of the figure.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!