Prove that the parallelogram circumscribing a circle is a rhombus Match the

A paper describes a study in which researchers observed wait times in coffee shops in Boston. Both wait time and gender of the c

kvasek [131]

Answer:

$t=\frac{85.8-113.4}{\sqrt{\frac{(50)^2}{145}+\frac{(75)^2}{141}}}}=-3.65$

$p_v =2*P(t_{(284)}$

Using Excel we can use the following code: "=2*T.DIST(-3.65;284;TRUE)"

So the p value is a very low value and using any significance level giveen $\alpha=0.05$ always $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and there is enough evidence to conclude that the means are different.

Step-by-step explanation:

1) Data given and notation

$\bar X_{M}=85.8$ represent the mean for the males

$\bar X_{F}=113.4$ represent the mean for females

$s_{M}=50$ represent the sample standard deviation for males

$s_{F}=75$ represent the sample standard deviation for female

$n_{M}=145$ sample size for the group poisoned

$n_{F}=141$ sample size for the group unpoisoned

t would represent the statistic (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the mean for the two groups are equal or not , the system of hypothesis would be:

Null hypothesis: $\mu_{M} = \mu_{F}$

Alternative hypothesis: $\mu_{M} \neq \mu_{F}$

If we analyze the size for the samples both are higher than 30 but the population deviations are not given, so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{\bar X_{M}-\bar X_{F}}{\sqrt{\frac{s^2_{M}}{n_{M}}+\frac{s^2_{F}}{n_{F}}}}$ (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

3) Calculate the statistic

We can replace in formula (1) the results obtained like this:

$t=\frac{85.8-113.4}{\sqrt{\frac{(50)^2}{145}+\frac{(75)^2}{141}}}}=-3.65$

4) Statistical decision

The first step is calculate the degrees of freedom, on this case:

$df=n_{M}+n_{F}-2=145+141-2=284$

Since is a two tailed test the p value would be:

$p_v =2*P(t_{(284)}$

Using Excel we can use the following code: "=2*T.DIST(-3.65;284;TRUE)"

So the p value is a very low value and using any significance level giveen $\alpha=0.05$ always $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and there is enough evidence to conclude that the means are different.

4 0

3 years ago

A manufacturer produces two types of bottled coffee drinks: cappuccinos and cafés au lait. Each bottle of cappuccino requires 6

OlgaM077 [116]

Answer:

P = 0.40x + 0.50y

Explanation:

The objective function is the function that you want to optimize: usually minimize in the case of costs, and maximize in the case of revenues or profits.

In this case, you know the profits that a manufacturer earns from two types of bottled coffe drinks: cappuccinos and cafés au lait.

Each bottle of cappuccino earns a profit of $0.40 and each bottle of café au lait earns a profit of $0.50.

Then:

using the variable x for the number bottles of cappuccino produced, the profit earned from x bottles is 0.40x, and

using the variable y for the number of bottles of café au lait the produced, the profit earned from y bottles is 0.5y.

The total profit earned, P, is the sum of the profits earned from each type of bottled coffee drinks:

P = 0.40x + 0.50y

That is the objective function, i.e. the function that the manufacturer must try to maximize subject to the corresponding constraints.

7 0

3 years ago

Read 2 more answers

Please answer ASAP! will give brainlist.

scoundrel [369]

Answer:

B

Step-by-step explanation:

120+4x-12=180, 4x+108=180,4x=72, x=18

7 0

3 years ago

Read 2 more answers

Please help me with this

kherson [118]

Answer:

A

Step-by-step explanation:

The interception of the two lines is the solution point.

6 0

3 years ago

What is the simplified form of the following expression? 8ab/-4b

kondaur [170]

-2a

Step-by-step explanation:

steps:1. first write the question again : 8ab/-4b

2.first 8 divide by -4=-2

3.write ' a' with -2because u don't have another 'a' down belowso that u can pair it up and cancel

so: -2a.

4. cancel 'b' on top and 'b' at the bottom.

3 0

3 years ago

Prove that the parallelogram circumscribing a circle is a rhombusMatch the​

Prove that the parallelogram circumscribing a circle is a rhombusMatch the