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3 years ago

PLEASE HELP GEOMETRY QUESTION!!

Mathematics

1 answer:

wolverine [178]3 years ago

8 0

I just learned that a rhombus has equal opposite equal acute angles, opposite equal obtuse angles, and four equal sides. That means y is equal to all the sides! Angle x is 61° and y = 16 in

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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:

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 test statistic is less than the critical value 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 tested if the mean is of 7.4 minutes, that is:

$H_0: \mu = 7.4$

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

$H_1: \mu < 7.4$

We have the standard deviation for the population, 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 parameters are: $\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36$ .

Hence, the value of the test statistic 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 left-tailed test, as we are testing if the mean is less than a value, the critical value with a significance level of 0.1 is of $z^{\ast} = -1.28$ .

Item b:

Since the test statistic is less than the critical value 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

All Five of these Questions = 90 Points. Need done ASAP.

vichka [17]

Answer:

ma ma ھگدفسخ टगाई samje ke hamreبھا मे

hoho gana ga

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3 years ago

The number of employees for a certain company has been decreasing each year by 4%. If the company currently has 710 employees a

Arte-miy333 [17]

Answer:

Answer is A

Step-by-step explanation:

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3 years ago

Which list shows all the factor pairs of 42? A. 1 and 42, 2 and 24, 3 and 18, 4 and 13, 6 and 8 B. 1 and 42, 2 and 21, 3 and 14,

kondor19780726 [428]

Answer:

List B

Step-by-step explanation:

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3 years ago

3 more questions . geometry!!! please help

never [62]

10 is B
9 is C
11 isB
Hope this helped :)

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3 years ago