Please help I need asap

A random sample of 16 students selected from the student body of a large university had an average age of 25 years. We want to d

kenny6666 [7]

Answer:

$z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

$p_v =2*P(Z>2)=0.0455$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean differs from 24 at 5% of significance

Step-by-step explanation:

Data given and notation

$\bar X=25$ represent the sample mean

$\sigma=2$ represent the sample population deviation for the sample

$n=16$ sample size

$\mu_o =24$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is different from 24, the system of hypothesis would be:

Null hypothesis: $\mu = 24$

Alternative hypothesis: $\mu \neq 24$

If we analyze the size for the sample is < 30 but we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

P-value

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

$p_v =2*P(Z>2)=0.0455$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean differs from 24 at 5% of significance

6 0

4 years ago

Answer asap plz plz ok thx

Aleksandr-060686 [28]

Answer:

2. A
3. B

Step-by-step explanation:

2.

<u>Option A is correct:</u>

Two pairs of opposite congruent angles

3.

<u>Option B is correct:</u>

∠PDC = ∠ABP = 25°

3 0

3 years ago

A community college in Hawaii has a student-to-faculty ratio of 14 to 1. How many faculty members are at the college if it has 4

Allushta [10]

4200/14 = 300 faculty members

6 0

3 years ago

In a new experimental teaching method, when students have questions in class, they send them to the instructor via a laptop comp

Anna007 [38]

Answer:

a) (0.124, 0.435)

b) I am 95% confident that the proportion difference is between 0.124 and 0.435

Step-by-step explanation:

Given that:

For male students: number of male students ( $n_m$ ) = 69, number who liked the new method (x) = 38

For female students: number of female students ( $n_f$ ) = 73, number who liked the new method (x) = 20

a) The probability that a male student like the new method ( $P_1$ ) is given as:

$P_1=\frac{38}{69} =0.55$

The probability that a female student like the new method ( $P_2$ ) is given as:

$P_2=\frac{20}{73} =0.27$

c = 95%, α = 1 -c = 0.05

$z_{\frac{\alpha }{2} }=1.96$

the difference between the proportions of male and female students who like the new method better = $P_1-P_2$ ± $z_{\frac{\alpha }{2} }\sqrt{\frac{P_1(1-P_1)}{n_m} +\frac{P_2(1-P_2)}{n_f}}$ = $0.55-0.27$ ± $1.96\sqrt{\frac{0.55(1-0.55)}{69} +\frac{0.27(1-0.27)}{73}}$ = (0.124, 0.435)

b) I am 95% confident that the proportion difference is between 0.124 and 0.435

7 0

3 years ago

Can someone please answer this for me please??

klio [65]

Answer:

15/16

Step-by-step explanation:

Using the order of operations, we need to multiply in the parentheses first...

3/5*25/24=75/120, which simplifies to 5/8.

Next, we need to divide 5/8 by 2/3. To divide, we can actually multiply by the reciprocal, which is flipping the fraction that you are dividing by. In this case, we need to multiply 5/8 by the reciprocal of 2/3. The reciprocal of 2/3 is 3/2, so we need to multiply 5/8 by 3/2.

5/8*3/2=15/16

This is the final answer!

I hope this helped you out!! Have an amazing day φ(゜▽゜*)♪

6 0

3 years ago