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Ymorist [56]
3 years ago
12

Rounded to the nearest inch , what is the appoxiomate circumference of a circle with a diameter of 40 inches (Use pi = 3.14

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0
С = πD 
С = 3,14×40
С = 126 in ← <span>to the nearest inch </span>
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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

5 0
2 years ago
Can someone help please and thank you!
kondor19780726 [428]

Answer:

10 and 40 I think maybe?

Step-by-step explanation:

I hope this is correct if not I am so so so so so so sorry

5 0
2 years ago
Read 2 more answers
Please answer this question thank you
Veseljchak [2.6K]
SAS stand for side-angle-side. In order to know that these two triangles are similar you need to find the measure of side GH and MN
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3 years ago
Five friedns share three pizzas that cost 12.75 how much do each of them pay
Aliun [14]
They each would pay 2.55

12.75 divided by 5 = 2.55
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3 years ago
Question 3 (Multiple Choice Worth 1 points)
Evgen [1.6K]

Answer:

g(x) = x + 6

Step-by-step explanation:

The parent function is given as:

f(x) = x + 8

We want to find a new function that results after shifting f(x), 2 units to the right.

Let that function be g(x), then

g(x) = f(x - 2)

We replace x by x-2 in f(x) to get:

g(x) = x - 2 + 8

When we simplify, we obtain:

g(x) = x + 6

8 0
3 years ago
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