What is the term for the point where angle bisectors of a triangle meet

Each of the following situations describes a normally distributed population for which a statistical procedure should be used. M

densk [106]

Answer:

(a) Correct option (1).

(b) Correct option (3).

(c) Correct option (2).

Step-by-step explanation:

A one-sample z-test for mean is used to determine whether the claimed value of mean is significant or not. To perform this test we can also use the t-distribution.

The t-test is used if the following conditions are given:

The population is normally distributed
The population standard deviation is not known
The sample selected is large enough.

Similarly the (1 - α)% confidence interval for population mean can be computed either using the z-interval or the t-interval.

The same conditions should be applied to use the t-interval.

(a)

In the first case, Gale wants to determine the likely range of weight of whole coffee beans from her trusty two-tablespoon scoop to create a reliable method of brewing the perfect cup of coffee.

She selects a sample of n = 15 scoops and perform the test.

Since the population standard deviation is not known and Gale wants to know the range of weight of whole coffee beans , she should use a one sample t-confidence interval for a mean.

The correct option is (1).

(b)

In the second case, Tanya wants to determine whether the mean IQ score is at least 112 or not.

She selects a a random sample n = 20 composers and compute the statistic to perform the one-sample test.

Since the population standard deviation is not known, Tanya should use one sample t-test for a mean.

The correct option is (3).

(c)

In the second case, Jason wants to estimate what the balance of his retirement account will be in one month.

He selects the data from 1950 to 2015 and calculates this index has had an average monthly return of 0.69% with a standard deviation of 4.15%.

Now, the sample selected is quite large. The Central limit theorem can be used to approximate the sampling distribution of sample mean.

Then, $\bar X\sim N(\mu_{\bar x}, \sigma_{\bar x})$

So, Jason can use the one sample z-test for a mean to determine the balance of his retirement account will be in one month.

The correct option is (2).

7 0

4 years ago

Find all seventh roots of unity and sketch them on the axis below.

jarptica [38.1K]

There is no picture??

4 0

3 years ago

Which inequality is true when the value of d is 14?

shutvik [7]

Answer:

-d - 9 < 1.5

Step-by-step explanation:

In this problem, my reasoning is shown below for each individual inequality. We can test each one to see if it is true or not.

$-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?\\$

-23 is not greater than 1.5, so it can't be the first one. Let's try the next one.

$-(14)-9$

Yes! -23 is smaller than 1.5. So we can say that the second option is correct. But just for good measure, we can try the other two.

$-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?$

Nope! -23 is not greater than 1.5. Let's try the last one.

$14-9$

And again... nope. 5 is not smaller than -1.5. So our reigning option is -d - 9 < 1.5. Hopefully this was helpful! If you have any more questions, let me know.

4 0

3 years ago

Let f(x)=−3x.0 The graph of f(x) is transformed into the graph of g(x)

lisov135 [29]

Asssuming the original equation is f(x)=-3x

vertical stretch of 4 means multiply whole function by 4
move to right by 4 means minus 4 from every x
so first
f(x)=-3x
strech,
times 4
y=-12x
now move to right 4
minus 4 from every x
g(x)=-12(x-4)
g(x)=-12x+48

g(x)=-12(x-4) or -12x+48

5 0

3 years ago

What is the length of the hypotenuse?

Klio2033 [76]

It will be 5 because 4^2+3^2= 16+9=25 and then square root of 25=5

5 0

4 years ago

Read 2 more answers