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Anni [7]
2 years ago
10

If lines are parallel with a transversal, then these two angles are ?​

Mathematics
1 answer:
andreev551 [17]2 years ago
4 0

Answer:

Alternate Interior Angles

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A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is current
lapo4ka [179]

Using the z-distribution, we have that:

a)

The hypothesis test is:

  • H_0: \mu = 7.4
  • H_1: \mu < 7.4

The p-value is of 0.0668.

The critical value is z^{\ast} = -1.28

b) Since the <u>test statistic is less than the critical value</u> for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

Item a:

At the null hypothesis, it is <u>tested if the mean is of 7.4 minutes</u>, that is:

H_0: \mu = 7.4

At the alternative hypothesis, it is <u>tested if the mean is lower than 7.4 minutes</u>, that is:

H_1: \mu < 7.4

We have the <u>standard deviation for the population</u>, hence, the z-distribution is used.

The test statistic is given by:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • \sigma is the standard deviation of the sample.
  • n is the sample size.

For this problem, the values of the <em>parameters </em>are: \overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36.

Hence, the value of the <em>test statistic</em> is:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}

z = -1.5

Using a z-distribution calculator, the p-value is of 0.0668.

Also using a calculator, considering a <u>left-tailed test</u>, as we are testing if the mean is less than a value, the critical value with a <u>significance level of 0.1</u> is of z^{\ast} = -1.28.

Item b:

Since the <u>test statistic is less than the critical value</u> for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

You can learn more about the use of the z-distribution to test an hypothesis at brainly.com/question/16313918

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2 years ago
PLZZ HURRY GETTING TIMED!!!!!
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The height is 22 inches? It says it in the question
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3 years ago
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In a shipment of 25 computer monitors, 3 monitors havepossible defects. The first monitor tested from the shipment is defective
Citrus2011 [14]
It has a 2 in 24 chance of being picked next
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3 years ago
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Ahhh help please find the perimeter
spin [16.1K]

Answer:

12x^{2} + 6y

Step-by-step explanation:

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2 years ago
4x+1=9+4y please help me solve for x please show step by step I’m very confused
Inessa05 [86]

Answer:

<em>x - y = 2</em>

Step-by-step explanation:

First of all, you would combine like terms, giving you 4x - 4y + 1 = 9.

Next, subtract the numbers, which gives you 4x - 4y = 8.

Finally, divide both sides by 4, which will come to the conclusion of x - y = 2, the simplest form of which this equation can be broken down to.

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3 years ago
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