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2 years ago

Select the correct answer

Mathematics

1 answer:

kipiarov [429]2 years ago

6 0

Answer:

Step-by-step explanation:

Slope = term that multiply x

y intercept = the number without a variable

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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 test statistic is greater than the critical value for the right-tailed test, 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 tested if it does not outlast by more than 2 hours, that is, the subtraction is not more than 2:

$H_0: \mu_B - mu_A \leq 2$

At the alternative hypothesis, it is tested if it outlasts by more than 2 hours, 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 mean and standard deviation 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 right-tailed test, as we are testing if the subtraction is greater than a value, with a 0.05 significance level and 12 + 12 - 2 = 22 df is given by $t^{\ast} = 1.71$

Since the test statistic is greater than the critical value for the right-tailed test, 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

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3 years ago

Please help! I’ll mark you as brainliest if correct!!!!

Morgarella [4.7K]

Answer:

.152

Step-by-step explanation:

only 14 but might be right

7 0

3 years ago

Read 2 more answers

Write the coordinates of the vertices after a reflection across the line x= -3

anzhelika [568]

(Please vote me Brainliest if this helped!)

C' (-3, -6)
D' (-3, 1)
E' (0, -6)

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3 years ago

Write the postulate that confirms the statement m

mixas84 [53]

Ugh this is the worst 55559

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3 years ago

Find the real solutions of the equati √7x+1 - √x-5 = 6

Juliette [100K]

The solution of this equation is x = 5 and x = 9.

<h3>What is the solution?</h3>

Let us recall that what we have here is a radical equation as follows;

√7x+1 - √x-5 = 6

When we isolate we have';

√7x+1 = √x-5+6

Taking the square of both sides;

(√7x+1)^2 = (√x-5+6)^2

Hence;

7x+1 = x-5+36+12√x-5

-12√x-5 = -7x-1+x-5+36

12√x-5 = 6x-30

Raising this equation to power 2

144x-720 = 36x^2-360x+900

When we rearrange we obtain;

36x2 - 504x + 1620 = 0

Hence;

x = 5 and x = 9

Learn more about radical equation:brainly.com/question/8606917

#SPJ1

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1 year ago