Gabriel saves 40% of his mouthly paycheck for college. He earned $270 last mouth. How much money did Gabriel save for college

A manager is comparing wait times for customers in a coffee shop based on which employee is

anyanavicka [17]

Using the t-distribution, as we have the standard deviation for the sample, it is found that there is a significant difference between the wait times for the two populations.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, we test if there is no difference, that is:

$H_0: \mu_A - \mu_B = 0$

At the alternative hypothesis, it is tested if there is difference, that is:

$H_1: \mu_A - \mu_B = 0$

<h3>What are the mean and the standard error of the distribution of differences?</h3>

For each sample, we have that:

$\mu_A = 73, s_A = \frac{2}{\sqrt{100}} = 0.2$

$\mu_B = 74, s_B = \frac{4}{\sqrt{100}} = 0.4$

For the distribution of differences, we have that:

$\overline{x} = \mu_A - \mu_B = 73 - 74 = -1$

$s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.2^2 + 0.4^2} = 0.447$

<h3>What is the test statistic?</h3>

It is given by:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu = 0$ is the value tested at the null hypothesis.

Hence:

$t = \frac{\overline{x} - \mu}{s}$

$t = \frac{-1 - 0}{0.447}$

$t = -2.24$

<h3>What is the p-value and the decision?</h3>

Considering a one-tailed test, as stated in the exercise, with 100 - 1 = 99 df, using a t-distribution calculator, the p-value is of 0.014.

Since the p-value is less than the significance level of 0.05, it is found that there is a significant difference between the wait times for the two populations.

More can be learned about the t-distribution at brainly.com/question/16313918

8 0

2 years ago

Of the 350 people surveyed recently in New York, 68% said they prefer to vacation in Florida. Find the number preferring to vact

garik1379 [7]

Answer:

238 people

Step-by-step explanation:

68% of 350 is 238

6 0

2 years ago

You purchase a television anda blu-ray palter together for $1,759. The blue-ray player, by itself, cost $469. How much did the t

satela [25.4K]

Both together cost $1759.
That means that sum of the two prices is $1759.
The operation that is the opposite of addition is subtraction.
We subtract $469 from $1759 to find the price of the televition.

$1759 - $469 =

     1759
-    469
-----------
     1290

$1759 - $469 = $1290

Answer: The price of the television is $1290.

7 0

3 years ago

Read 2 more answers

At a movie rental machine the movies rent for $3.00 except on Tuesdays when they rent for $0.49 Appoximately what percent of the

den301095 [7]

Answer:

16%

Step-by-step explanation:

To find what percent of the regular cost is saved by renting a movie on a Tuesday, we must do 0.49/3.00. This helps us find the decimal point to convert into a percentage. 0.49/3.00 is equal to 0.163333333333 . And 0.163333333333 converted into a percentage is approximately 16%.

Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest")

6 0

2 years ago

Triangle RST has vertices R(2, 0), S(4, 0), and T(1, –3). The image of triangle RST after a rotation has vertices R'(0, –2), S'(

sleet_krkn [62]

Answer with explanation:

Pre -image= Vertices of Δ R ST=R(2, 0), S(4, 0), and T(1, –3)

Image of Δ R ST after rotation= R'(0, –2), S'(0, –4), and T'(–3, –1)

Pre-Image lies in Fourth Quadrant and Image lies in Third Quadrant.

If triangle is rotated by different angles in anticlockwise direction,then

$(a,b)_{90^{\circ}}=(-b, a)\\\\(a,b)_{180^{\circ}}=(-b, -a)\\\\(a,b)_{270^{\circ}}=(b, -a)$

If triangle is rotated by different angles in Clockwise direction,then

$(a,b)_{90^{\circ}}=(b, -a)\\\\(a,b)_{180^{\circ}}=(-b, -a)\\\\(a,b)_{270^{\circ}}=(-b, a)$

⇒→So, Pre image that is ,Δ R ST having vertices ,R(2, 0), S(4, 0), and T(1, –3) when rotated by either 90° in clockwise direction or by 270°, in anticlockwise Direction to get Image Δ R' S'T' having vertices R'(0, –2), S'(0, –4), and T'(–3, –1) .

7 0

3 years ago