Solve each equation <br> 18=20+p<br> Show work please!

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

The ratio of boys to girls in the Science Club is 3.5. If there are 60 girls, how many boys are there?

liubo4ka [24]

Answer:

36 boys

Step-by-step explanation:

3

Please write the ratio as 3:5 or as --------

5

Note that 3 + 5 = 8, so that the fraction of boys in the club is 3/8 and that of girls is 5/8.

How many are in the club altogether? Let this count be represented by c. Then (5/8)c = 60.

Multiplying both sides of this equation by (8/5), to isolate c, we get:

c = (8/5)(60) = 96. Thus, there are 96 Science students altogether.

3/8 of this number are boys. This comes out to (3/8)(96) = 36 boys.

We could also solve this problem in the following manner:

3 b

------ = ------- , where b represents the number of boys.

5 60

Then 5b = 180. Dividing both sides by 5, we get b = 180/5 = 36 boys

3 0

3 years ago

What is the surface area of the rectangular pyramid below?

Furkat [3]

There’s no picture under your question

8 0

3 years ago

3. BASKETBALL Alonzo and Miguel scored a total of 54 points in the basketball game. Miguel scored four more points than Alonzo.

RSB [31]

Answer:

Alonzo scored 25 points. Miguel scored 29 points.

Step-by-step explanation:

25 plus 25 is 50. Plus 4 is 54.

7 0

3 years ago

A political scientist claims that negative advertising on television affects younger voters more than it affects older voters. T

malfutka [58]

Answer:

E

Step-by-step explanation:

8 0

3 years ago

Solve each equation 18=20+p Show work please!