Mathematics, 07.05.2020 13:57 carog24

A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in each can is 0.12 ounce. The machine is overhauled with new components, and ten cans are filled to determine whether the standard deviation has changed. Assume the fill amounts to be a random sample from a normal population.

Perform a hypothesis test to determine whether the standard deviation differs from 0.12 ounce. Use the level of significance.

Answers: 3

Show answers

Answers

Answer from: clangclang8732

$\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54$

The degrees of freedom are:

df=n-1=10-1=9

Now we can calculate the p value using the alternative hypothesis:

$p_v =2*P(\chi^2 13.54)=0.279$

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

Step-by-step explanation:

Assuming the following data:"12.1412.0512.2711.8912.06

12.1412.0512.3811.9212.14"

We can calculate the sample deviation with this formula:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

n=10 represent the sample size

$\alpha=0.05$ represent the confidence level

s^2 =0.0217 represent the sample variance

$\sigma^2_0 =0.12^2= 0.0144$ represent the value to verify

Null and alternative hypothesis

We want to determine whether the standard deviation differs from 0.12 ounce, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 = 0.0144$

Alternative hypothesis: $\sigma^2 \neq 0.0144$

The statistic can be calculated like this;

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

$\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54$

The degrees of freedom are:

df=n-1=10-1=9

Now we can calculate the p value using the alternative hypothesis:

$p_v =2*P(\chi^2 13.54)=0.279$

Answer from: Quest

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

Answer from: Quest

what is the graph

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 19:30

What are the exclude value of mn+3m

Answers: 1

Answer

Mathematics, 21.06.2019 20:30

Carley bought a jacket that was discounted 10% off the original price. the expression below represents the discounted price in dollars, based on x, the original price of the jacket.

Answers: 1

Answer

Mathematics, 22.06.2019 01:20

Use pascal's triangle to find the missing values. x4 - 4xb + 6x2 - ax + 1

Answers: 3

Answer

Mathematics, 22.06.2019 03:00

Will give the box plots below show the math scores of students in two different classes: class a 55 72 75 89 95 class b 55 70 75 94 100 based on the box plots, which statement is correct? a: the median score of class a is greater than the median score of class b. b: the lower quartile of class a is greater than the lower quartile of class b. c: the upper quartile of class a is greater than the upper quartile of class b. d: the maximum score of class a is greater than the maximum score of class b.

Answers: 1

Answer

You know the right answer?

A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standar...

Questions

Mathematics, 27.07.2019 06:30

Alex buys 2 1/2 lbs grapes. he buys 1 1/4 times as many pounds of apples as grapes. how many pounds of apples does alex buy?...