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vaieri [72.5K]
3 years ago
10

Tensile strength tests were performed on two different grades of aluminum spars used in manufacturing the wing of a commercial t

ransport aircraft. From past experience with the spar manufacturing process and the testing procedure, the standard deviations of tensile strengths are assumed to be known. The data obtained are as follows:
n_1 = 10
x_1 = 87.6
σ_1 = 1
n_2 = 12
x^2 = 74.5
σ_2 = 1.5.

Required:
If μ _1 and μ _2 denote the true mean tensile strengths for the two grades of spars. Construct a 90 percentage confidence interval on the difference in mean strength.
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer:

(12.141, 14.059)

Step-by-step explanation:

Explanation is provided in the attached document.

Download docx
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A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. Find the te
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Answer:

b. 2.333

Step-by-step explanation:

Test if the mean transaction time exceeds 60 seconds.

At the null hypothesis, we test if the mean transaction time is of 60 seconds, that is:

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At the alternate hypothesis, we test if it exceeds, that is:

H_1: \mu > 60

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

60 is tested at the null hypothesis:

This means that \mu = 60

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Value of the test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{67 - 60}{\frac{12}{\sqrt{16}}}

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5 0
3 years ago
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yaroslaw [1]

Step-by-step explanation:

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Please help me!!!!! PLeASe Also I will be giving Brailiest
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Answer:

x = 75

y = 105

Step-by-step explanation:

Remark

You can find y in two different ways.

One

You can recall that y is the sum of the 2 interior angles not connected to it. Those angles are called the remote interior angles. Or

Two

You can add the three angles to 180 and solve for x. Then since x and y are supplementary, you can find y.

Solution

One

y = 60 + 45

y = 105                       Answer

Two

x + 60 + 45 = 180      All triangles have 180 degrees. Solve for x.

x + 105 = 180             Subtract 105 from both sides

x = 180 - 105              Combine

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75 + y = 180               Subtract 75 from both sides.

y = 180 - 75                Combine

y = 105

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