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3 years ago

Please help me don’t skip!!

Mathematics

1 answer:

Rudik [331]3 years ago

7 0

Answer:

12+n

Step-by-step explanation:

if you use a random number for all equations youll find it

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Data is collected to compare two different types of batteries. We measure the time to failure of 12 batteries of each type. Batt

-Dominant- [34]

Using the t-distribution, it is found that since the <u>test statistic is greater than the critical value for the right-tailed test</u>, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

At the null hypothesis, it is <u>tested if it does not outlast by more than 2 hours</u>, that is, the subtraction is not more than 2:

$H_0: \mu_B - mu_A \leq 2$

At the alternative hypothesis, it is <u>tested if it outlasts by more than 2 hours</u>, that is:

$H_1: \mu_B - \mu_A > 2$

The sample means are: $\mu_A = 8.65, \mu_B = 11.23$

The standard deviations for the samples are $s_A = s_B = 0.67$

Hence, the standard errors are:

$s_{Ea} = S_{Eb} = \frac{0.67}{\sqrt{12}} = 0.1934$

The distribution of the difference has <u>mean and standard deviation</u> given by:

$\overline{x} = \mu_B - \mu_A = 11.23 - 8.65 = 2.58$

$s = \sqrt{s_{Ea}^2 + s_{Eb}^2} = \sqrt{0.1934^2 + 0.1934^2} = 0.2735$

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu = 2$ is the value tested at the hypothesis.

Hence:

$t = \frac{\overline{x} - \mu}{s}$

$t = \frac{2.58 - 2}{0.2735}$

$t = 2.12$

The critical value for a <u>right-tailed test</u>, as we are testing if the subtraction is greater than a value, with a <u>0.05 significance level</u> and 12 + 12 - 2 = <u>22 df</u> is given by $t^{\ast} = 1.71$

Since the <u>test statistic is greater than the critical value for the right-tailed test</u>, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

A similar problem is given at brainly.com/question/13873630

7 0

3 years ago

What property is illustrated by the statement? 0 + x = x A. Inverse Property of Multiplication B. Commutative Property of Additi

Firlakuza [10]

<h2>Answer:</h2>

Option: D is the correct answer.

The property which is illustrated by the given statement is:

D. Identity Property of Addition

<h2>Step-by-step explanation:</h2>

We know that an identity is a value which when added to any element of the set gives the resultant as the element itself.

Also, we know that the identity under addition is always: zero.

Because when zero is added to any number then the resultant is the number itself i.e. adding zero does not affect the value.

Hence, by the Identity Property of Addition we have:

0 + x = x

7 0

3 years ago

Use De Moivre’s Theorem to compute the following: <img src="https://tex.z-dn.net/?f=%5B3%28cos27%2Bisin27%29%7D%5E5" id="TexForm

zhannawk [14.2K]

Hello:
<span>Use De Moivre’s Theorem :
</span>(3(cos27 +isin27)^5 = 3^5( cos(27 × 5) +isin(27 × 5))
= 3^5 ( cos(135)+i sin(135))
= 3^5(-√2/2+i √2/2)
because : cos(135) = -√2/2 and sin(135) = √2/2
(3(cos27 +isin27)^5 = (- 3^5√2/2)+ i ( 3^5√2/2) ...(form : a+ib when
a= (- 3^5√2/2) and b = ( 3^5√2/2)

4 0

4 years ago

Je Senah

ss7ja [257]

Answer:

B (1,0)

Step-by-step explanation:

5 0

3 years ago

Joaquin is constructing the perpendicular bisector of AB. What should be his

Licemer1 [7]

The correct answer is C

4 0

4 years ago