Clara simplifies (8b

A manufacturer uses production method to produce steel rods. A random sample of 17 steel rods resulted in lengths with a standar

Arisa [49]

Answer:

$\chi^2 =\frac{17-1}{12.15} 22.09 =15.87$

Traditional method

We can find a critical value in the chi square distribution with df =16 who accumulates $\alpha/2 =0.05$ of the area on each tail and we got:

$\chi^2_{crit}= 7.962$

$\chi^2_{crit}=26.296$

Since the calculated value is between the two critical values we don't have enough evidence to conclude that the true deviation is NOT significantly different from 3.5 cm

Confidence level method

We can find the p value like this

$p_v =2*P(\chi^2 >15.87)=0.92$

Since the p value is higher then the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is NOT significantly different from 3.5 cm

Step-by-step explanation:

Data provided

$n=17$ represent the sample selected

$\alpha=0.1$ represent the significance

$s^2 =4.7^2 =22.09$ represent the sample variance

$\sigma^2_0 =3.5^2 =12.15$ represent the value to check

Null and alternative hypothesis

We want to verify if the new production method has lengths with a standard deviation different from 3.5 cm, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 = 12.15$

Alternative hypothesis: $\sigma^2 \neq 12.15$

The statistic for this case is given by:

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

The degrees of freedom are:

$df =n-1= 17-1=16$

$\chi^2 =\frac{17-1}{12.15} 22.09 =15.87$

Traditional method

We can find a critical value in the chi square distribution with df =16 who accumulates $\alpha/2 =0.05$ of the area on each tail and we got:

$\chi^2_{crit}= 7.962$

$\chi^2_{crit}=26.296$

Since the calculated value is between the two critical values we don't have enough evidence to conclude that the true deviation is significantly different from 3.5 cm

Confidence level method

We can find the p value like this

$p_v =2*P(\chi^2 >15.87)=0.92$

Since the p value is higher then the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is significantly different from 3.5 cm

7 0

3 years ago

Please answer this question

gladu [14]

Answer:

A

hope that helped <3

8 0

2 years ago

Read 2 more answers

Elinor determined that a triangle with side lengths 6, 10, and 8 does not form a right triangle. 62 + 102 = 82 36 + 100 = 64 136

bazaltina [42]

Answer:

incorrect

Step-by-step explanation:

To determine if the triangle is right

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right, that is

longest side = 10 and 10² = 100

6² + 8² = 36 + 64 = 100

Thus the triangle is right.

She should have added 6² and 8² and compared that to 10²

5 0

3 years ago

Read 2 more answers

An electronic manufacturing company has determined that the monthly cost of producing x units of its newest stereo is C(x) = 250

SCORPION-xisa [38]

Answer: The monthly marginal profit when 8250 units are produced and sold is 2,427,125 dollars

Step-by-step explanation:

C(x) = 2500 + 10x

D(x) = 60000 - x/1500

Use the demand equation to find the monthly revenue equation.

R(x) = x.D(x) = x(60000 - x/1500) = 60000x - x²/1500

Find the monthly profit equation

P(x) = R(x) - C(x) = 60000x - x²/1500 - (2500 + 10x) =

60000x - x²/1500 - 2500 - 10x = 60000x - x² - 3750000 - 15000x/1500 =

45000x - x² - 3750000/1500

use it to compute the monthly marginal profit for a production level of 8250 units

P(8250) = 45000*8250 - 8250² - 3750000/1500 = 2,427,125

The monthly marginal profit when 8250 units are produced and sold is 2,427,125 dollars

3 0

2 years ago

Read 2 more answers

What is 2 x 1,000 + 6 x 100 + 5 x 10 + 3 x 1 in standard form?

vova2212 [387]

Answer:

Step-by-step explanation:

2006053?

3 0

3 years ago