Help on 36 and 39 have to factor each expression

A study is done to determine if students in the California state university system (sample 1) take longer to graduate, on averag

Debora [2.8K]

Answer:

We conclude that the students in the California state university system take longer to graduate as compared to students enrolled in private universities.

Step-by-step explanation:

We are given that from years of research, it is known that the population standard deviations are 1.5 years and 0.9 years, respectively.

One hundred students from each the California state university system and private universities are surveyed. The California state university system students took on average 4.8 years while the private university students took on average 4.4 years.

Let $\mu_1$ = population average time taken by students in the California state university system to graduate

$\mu_2$ = population average time taken by students in the private universities to graduate

SO, Null Hypothesis, $H_0$ : $\mu_1-\mu_2\leq0$ or $\mu_1 \leq \mu_2$ {means that the students in the California state university system take less than or equal time to graduate as compared to students enrolled in private universities}

Alternate Hypothesis, $H_A$ : $\mu_1-\mu_2 >0$ or $\mu_1>\mu_2$ {means that the students in the California state university system take longer to graduate as compared to students enrolled in private universities}

The test statistics that will be used here is Two-sample z test statistics as we know about the population standard deviations;

T.S. = $\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{\sqrt{\frac{\sigma_1^{2} }{n_1} + \frac{\sigma_2^{2} }{n_2}} }$ ~ N(0,1)

where, $\bar X_1$ = sample average time taken by the California state university system students to graduate = 4.8 years

$\bar X_2$ = sample average time taken by the private university students to graduate = 4.4 years

$\sigma_1$ = population standard deviation for California state university system students = 1.5 years

$\sigma_2$ = population standard deviation for private university students = 0.9 years

$n_1$ = sample of California state university system students taken = 100

$n_2$ = sample of private university students taken = 100

So, test statistics = $\frac{(4.8-4.4)-(0)}{\sqrt{\frac{1.5^{2} }{100} + \frac{0.9^{2} }{100}} }$

= 2.287

Now at 0.10 significance level, the z table gives critical value of 1.2816 for right-tailed test. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the students in the California state university system take longer to graduate as compared to students enrolled in private universities.

5 0

4 years ago

Find the value of side a on the right triange, given that side B=12cm and side C=15cm

docker41 [41]

Use Pythagoras's theorem.
$a^{2} + b^{2} = c^{2}$

Now, minus 12 from 15:
15 - 12 = 3,
which you need to square.
So the length of a = 9cm.

You can also do:
$\sqrt{15^{2} - 12^{2} }$
Which gets 9.

Hope this helps.

3 0

3 years ago

The Girls’ Club bakes 63 cakes for the summer fair.

andrew-mc [135]

Answer:

15

Step-by-step explanation:

63 - 18 = 45 ( Minus the number of cakes that are left over)

45 / 3 = 15 (Divide by 3 to find out how many cakes they sold each day)

3 0

3 years ago

Find the slope of the line | (3) | A) B) C) را با اب D)

Travka [436]

Hi!

Could you provide a picture of the graph please??

Otherwise I have a hard time answering :/

But I’m really good a graphs! Just provide a picture and I will definitely help!

Many lucks coming your way!

8 0

3 years ago

7. What type of angle pair are LMS and SMN? 1.adjacent angles 2.linear pair 3.complementary angles 4.vertical angles

steposvetlana [31]

In this question we have a diagram given. ANd on the basis of that diagram, we have to find the relationship between angles LMS and SMN.

As we see in the diagram, that these angles are one after another. ANd such angles are known as adjacent angles . So these two angles are adjacent angles .

So out of the four options, the correct option is the first option .

4 0

4 years ago