Please help!! I need to know this by today

A random sample is to be selected from a population that has a proportion of successes p=.60. When n=400, what is the probabilit

Nata [24]

Answer:

0.45134

Step-by-step explanation:

Given that :

p = 0.6

n = 400

Probability that sample. Proportion falls between 0.59 and 0.62

Using Normal approximation :

Mean (m) = n * p = 400 * 0.6 = 240

Standard deviation (s) = sqrt(pq/n)

q = 1 - p = 1 - 0.6 = 0.4

s = sqrt((0.6 * 0.4) / 400) = 0.0244948

P(0.59 < p < 0.62) :

(x - m) / s

P((0.59 - 0.6) / 0.0244948) < p < P((0.62 - 0.6) / 0.0244948)

P(Z < −0.408249) < p < P(Z < 0.8164998)

Using the Z probability calculator :

0.79289 - 0.34155 = 0.45134

3 0

3 years ago

Anyone know this geometry question?

mr Goodwill [35]

Given:
∠JEK + ∠DFH = 90°

Find:
relationship, if any, of ∠JEK to angles CFL, HFG, LFE

Solution:
We note that ∠DFG = 90° = ∠DFH + ∠HFG, so ∠JEK ≅∠HFG.
We also note that ∠HFG and ∠CFL are vertical angles, so ∠JEK ≅∠CFL.
And ∠LFE and ∠DFH are vertical angles, so ∠JEK + ∠LFE = 90°.

Evaluating the choices, we find
A) false. The angles are not complementary, they are equal.
B) false. The angles are not equal, they are complementary.
C) false. The angles are not supplementary, they are equal.
D) TRUE. The angles are equal.

The appropriate choice is ...
D) ∠JEK ≅∠CFL

6 0

3 years ago

If theater has 22 rows and the last row has 63 seats and the first row has 27 with the common difference of 3 how many seats are

Inga [223]

Answer:

Step-by-step explanation:

4 0

3 years ago

A sample of 100 workers located in Atlanta has an average daily work time of 6.5 hours with a standard deviation of 0.5 hours. A

Readme [11.4K]

Answer:

$t=\frac{6.5-6.7}{\sqrt{\frac{0.5^2}{100}+\frac{0.7^2}{110}}}}=-2.398$

$df = n_1 +n_2 -2= 100+110-2= 208$

Since is a bilateral test the p value would be:

$p_v =2*P(t_{208}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.

Step-by-step explanation:

Data given and notation

$\bar X_{1}=6.5$ represent the sample mean for Atlanta

$\bar X_{2}=6.7$ represent the sample mean for Chicago

$s_{1}=0.5$ represent the sample deviation for Atlanta

$s_{2}=0.7$ represent the sample standard deviation for Chicago

$n_{1}=100$ sample size for the group Atlanta

$n_{2}=110$ sample size for the group Chicago

t would represent the statistic (variable of interest)

$\alpha=0.01$ significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the meanfor atlanta is different from the mean of Chicago, the system of hypothesis would be:

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

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

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

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

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

$t=\frac{6.5-6.7}{\sqrt{\frac{0.5^2}{100}+\frac{0.7^2}{110}}}}=-2.398$

What is the p-value for this hypothesis test?

The degrees of freedom are given by:

$df = n_1 +n_2 -2= 100+110-2= 208$

Since is a bilateral test the p value would be:

$p_v =2*P(t_{208}$

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.

3 0

3 years ago

Read 2 more answers

Please help answer <br> Will give Brainlst

Artyom0805 [142]

Answer:

x= -3

y= -5

Step-by-step explanation:

10y - 3x = -41

+

-5y + 3x = 16

10y + (-5y) = 5y

-3x + 3x = 0

-41 + 16 = -25

5y + 0 = -25

y = -25/5

y= -5

10y -3× = -41

(10×-5) - 3x = -41

- 3x = - 41 + 50

- 3x = 9

x = -3

4 0

3 years ago