Which function has a greater rate of change?

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 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

5 0

2 years ago

¡¡¡40 POINTS!!!HELP ASAP!!

Nataly_w [17]

Hi there!

To start, we can use the two points to find the slope using the formula y2-y1/x2-x1. Just sub in the points and solve!

-0.5-0.5/3-(-3)
-1/6
Sub that into the formula y-mx+b for m, and use one of the points for x and y - solve for b and you get your equation.

y=mx+b
y=-1/6x+b
0.5=-1/6*-3+b
0.5=-0.5+b
0.5+0.5=b
b=1

Therefore your equation is y=-1/6x+1

Hope this helps!

8 0

3 years ago

The sum of two numbers is 148. The larger number is two less than three times the smaller. What are the two numbers?

Lyrx [107]

Let
x---------> the larger number
y---------> the smaller number

we know that
x+y=148------> equation 1
x=3y-2------> equation 2

substitute 2 in 1
[3y-2]+y=148--------> 4y=150---------> y=150/4------> y=37.5
x=3y-2----> x=3*37.5-2-----> x=110.5

the answer is
the larger number is 110.5
the smaller number is 37.5

4 0

3 years ago

Read 2 more answers

Wut is 100000000000 x 0

weeeeeb [17]

Answer:

0

Step-by-step explanation:hope this helped lol hope u have a wonderful thanksgiving day!!!!!!!

4 0

3 years ago

Please solve these step-by-step!!

Ierofanga [76]

Answer:

For D. X= 3, or 0 but probably not 0

For the 2nd picture you sent, x= -2, or -3

Step-by-step explanation:

So for D. you want to make sure you only have 1 Variable, and since we know y=x squared + 7x+5, we subsitute y for what it is equal to.

Then we refine the question, which takes it out to

x squared-3x+5=5 (because the 7x-10x = 3x)

We subtract 5 from both sides which leaves us with x Squared - 3x= 0

Which we then solve with the Quadratic formula. and we separate the solutions to get the different answers for 3, and 0

3 0

3 years ago