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Ket [755]
3 years ago
13

PLEASE ANSWER I WILL MAKE U BRAINLIEST

Mathematics
1 answer:
devlian [24]3 years ago
5 0

Answer:

Tara is incorrect.

Step-by-step explanation:

The location of X' will be (7,1)

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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
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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
2 years ago
What is the GCF of 54 and 32?
Musya8 [376]
3
32: 2 2 2 2 2
GCF: 2
8 0
3 years ago
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In Mrs. Trach’s class, 18 students prefer to do their homework before dinner. In Ms. Love-Benson's class, 20 students prefer to
deff fn [24]
Yes because in Mrs. Benson‘s class there are 20 students and in Mrs Tracy’s class there are only 18
5 0
3 years ago
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Please help
Flauer [41]

Answer:

C

Step-by-step explanation:

A number's absolute value is its distance from zero. -4 is 4 units from zero so its absolute value is 4

Hope this helps!

4 0
3 years ago
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Please help fast Find the volume of a right circular cone that has a height of 15-3 ft and a base with a
mars1129 [50]

Answer:

3095.6 ft³

Step-by-step explanation:

Volume cone = 1/3(πr²h)

                      = 1/3(π(13.9)²(15.3))

                      = 1/3(π(193.21)(15.3))

                      = 1/3(2956.113π)

                      = 985.371π ≈ 3095.6 ft³

-Chetan K

4 0
3 years ago
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