47 Simplify 52 4 10 55 RE 5 421 56 127 153

A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in

erica [24]

Answer:

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

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:"12.14 12.05 12.27 11.89 12.06

12.14 12.05 12.38 11.92 12.14"

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:

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

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

7 0

3 years ago

Our class made 63 snowflakes to decorate our room. We put 38 snowflakes on the window. Then we put 15 snowflakes on the door. Ho

never [62]

10, 38+15=53 63-53=10

5 0

2 years ago

Which of the following is an example of a wealth tax? a. income tax b. excise tax c. estate tax d. sales tax

9966 [12]

Income tax. it taxes you on how much you earn.
In the UK:
RATE TAX
Personal Allowance Up to £11,500 0%
Basic rate £11,501 to £45,000 20%
Higher rate £45,001 to £150,000 40%
Additional rate over £150,000 45%

6 0

3 years ago

Read 2 more answers

What is the place value of 4 7835.04

NikAS [45]

Place value of 4 is 4/100

8 0

2 years ago

Missy rolls two 6 sided number cubes labeled 1-6. What is the probability that both number cubes land on a prime number

WITCHER [35]

Answer:

There is a 1/4 chance of Missy rolling a prime number on both cubes.

Step-by-step explanation:

Rolling one 6-sided cube, Missy has a 3/6 or 1/2 chance of landing on a prime number because the prime numbers between 1 and 6 (inclusive) are 2,3 and 5. When Missy rolls 2, 6-sided cubes, however, the chances of that happening lessens, and we multiply 1/2 by 1/2 as a result. Therefore, when Missy rolls two 6-sided cubes, there is a 1/4 chance of Missy rolling a prime number on both cubes.

8 0

3 years ago