Ebert used to make $22 an hour, but got a 10% raise. How much more will he make in a 40 hour work week with the raise? pls halp

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

11. Circle all of the examples that are perfect square. (You must circle all correct responses to receive credit)

Law Incorporation [45]

Good evening ,

Answer:

Circle 0 , 4 , 16

Step-by-step explanation:

→ 0 = 0²

→ 4 = 2²

→ 16 = 4²

:)

4 0

2 years ago

A wheel spins at 300 revolutions per minute. What is the angular velocity of the wheel, in radians per second? Round the answer

Mandarinka [93]

Angular velocity = 300 revolutions per minute

1 revolution = 2π radians.

So, we can write:

Angular velocity = 300 x 2π radians per minute = 600π radians per minute

1 minute = 60 seconds.

So,

Angular velocity = 600π radians per 60 seconds
⇒
Angular velocity = 10π radians per second
Angular velocity = 31.42 radians per second

Thus, rounding of to nearest hundredth, the angular velocity will be 31.42 radians per second.

6 0

3 years ago

Read 2 more answers

Write an equation for this problem

kenny6666 [7]

2 hours. She spent 1 hour for math which was half so the total would be 2*1=2.
1/2x=1 /x2
x=2

8 0

3 years ago

Read 2 more answers

Guys can u please help me out

sladkih [1.3K]

Answer: