What is the probability of flipping a coin once and getting heads if you have gotten 5 tails in a row before that?

The null and alternate hypotheses are: H0: ????1 ???? ????2 H1: ????1 ???? ????2 A random sample of 15 observations from the fir

bija089 [108]

Answer:

$t=\frac{(350-342)-0}{\sqrt{\frac{12^2}{15}+\frac{15^2}{17}}}}=1.674$

The degreess of freedom are given by:

$df = 15+12-2 =25$

Now we can calculate the p value with the following probability:

$p_v =2*P(t_{25}>1.674)=0.107$

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

Information provided

$\bar X_{1}=350$ represent the mean for sample 1

$\bar X_{2}=342$ represent the mean for sample 2

$s_{1}=12$ represent the sample standard deviation for 1

$s_{2}=15$ represent the sample standard deviation for 2

$n_{1}=15$ sample size for the group 2

$n_{2}=17$ sample size for the group 2

$\alpha=0.1$ Significance level provided

t would represent the statistic

Hypothesis to test

We want to verify if the true means for this case are significantly different, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{2}=0$

Alternative hypothesis: $\mu_{1} - \mu_{2}\neq 0$

The statistic is given by:

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=15+17-2=30$

Replacing the info given we got:

$t=\frac{(350-342)-0}{\sqrt{\frac{12^2}{15}+\frac{15^2}{17}}}}=1.674$

The degreess of freedom are given by:

$df = 15+12-2 =25$

Now we can calculate the p value with the following probability:

$p_v =2*P(t_{25}>1.674)=0.107$

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

5 0

2 years ago

The temperature of the pool water started at 82 degrees, and it is cooling down 0.4 degrees each hour. If the water temperature

Sidana [21]

Answer:

We have the same homework!!!!

hours that passed= 10

Step-by-step explanation:

(1st step)We start with the expression:

(1st)82-0.4x=78

"STARTED at 82 degrees" 82

"Cooling DOWN 0.4 degrees" -0.4

"EACH hour" x

"NOW 78 degrees" =78

(2nd step) We want to get the variable x alone, so we have to do the opposite sign they have, to cancel the number out for it to be 0.

(1st) 82 -0.4x =78

(2nd) -82 ÷-0.4 =78

(3rd)Now, you work out the problem (transfer the numbers from the left to the right). First, you have to do the subtraction sign, not sure why.

(1st) 82 -0.4x =78

(2nd) -82 ÷-0.4 =78

(3rd) 78 -82= -4

-4÷-0.4= 10

X= 10

there you have it!

To make sure this is correct, you do the following.

82 -0.4 x 10

Solve using PEMDAS

-0.4 x 10 = -4

its time to add 82.

82 - 4 = 78

78 is the exact temperature that was said in the problem

3 0

2 years ago

What is the equation of the line in the graph?

dybincka [34]

Y=3+-2x this is the answer becuase these are the 2 points that the line touches

6 0

3 years ago

75% of the whole is 180. what is the whole.

earnstyle [38]

Answer: 240

180×100=18,000

18,000÷75=240

to check

.75×240=180

I hope this is good enough:

6 0

2 years ago

10-24

jasenka [17]

Answer:

Like this...

Step-by-step explanation:

The best represented graph should look something like this :)

(program used is Desmos)

8 0

2 years ago