What is the probability of rolling an even number when rolling a 6-sided die? A) 3 B) 1 2 C) 1 3 D) 1 4

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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Write the fraction as a percent. 6/25

Eduardwww [97]

Answer:

0.0417

Step-by-step explanation:

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Find the measure of each angle I’ll mark the brainiest :)

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Answer:

9. 70° 10. 90° 11. 110°

Step-by-step explanation:

12. 25°

13. 95°

14. 20°

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A Charles Schwab survey in 2010 found that 45 % of the parents reported that they provide some form of financial assistance to a

nataly862011 [7]

Answer:

Step-by-step explanation:

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Solve the two-step equation. -9x 0. 4 = 4 Which operation must be performed to move all the constants to the right side of the e

AlekseyPX

The steps needed to solve the given equation is required.

Adding the opposite value of the constant to both sides.

Divide both sides by the coefficient of the variable.

The solution to the equation is

The given equation is

In order to solve this we first move constants to the side opposite of the variable.

This is done by adding the opposite value of the constant to both sides.

Here is the constant so we add to both sides.

Now, we divide both sides by the coefficient of the variable.

The solution to the equation is

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