What property is (C+2+0=c+2

There is strong believe that language skills of Political science students are greater than students who study Finance. Research

BaLLatris [955]

Answer:

a

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 > \mu_2$

b

$p-value = 0.232$

c

The decision rule is

Fail to reject the null hypothesis

Step-by-step explanation:

From the question we are told that

The value given is

S/N

1 7 5

2 4 3

3 8 7

4 8 8

5 7 9

6 7 5

7 6 5

Generally the sample mean for the first sample is mathematically represented as

$\= x _1 = \frac{\sum x_i }{n}$

=> $\= x _1 = \frac{7 +4 + \cdots + 6}{7}$

=> $\= x _1 = 6.714$

Generally the sample mean for the second sample is mathematically represented as

$\= x _2 = \frac{\sum x_i }{n}$

=> $\= x _2 = \frac{5 + 3+ \cdots + 5}{7}$

=> $\= x _2 = 6$

Generally the sample standard deviation for the first sample is mathematically represented as

$s_1 = \sqrt{\frac{\sum (x_i - \= x_1)^2 }{n-1 } }$

=> $s_1 = \sqrt{\frac{ (7 - 6.714 )^2 +(4 - 6.714 )^2 + \cdots + (6 - 6.714 )^2 }{7-1 } }$

=> $s_1 = 1.905$

Generally the sample standard deviation for the second sample is mathematically represented as

$s_2 = \sqrt{\frac{\sum (x_i - \= x_2)^2 }{n-1 } }$

=> $s_2 = \sqrt{\frac{ (5 - 6.714 )^2 +(3 - 6.714 )^2 + \cdots + (5 - 6.714 )^2 }{7-1 } }$

=> $s_1 = 4.33$

Generally the pooled standard deviation is

$s = \sqrt{\frac{(n_1 - 1 )s_1^2 + (n_2 - 1 )s_2^2}{n_1 + n_2 -2 } }$

=> $s = \sqrt{\frac{(7 - 1 )1.905^2 + (7 - 1 )4.333^2}{7 + 7 -2 } }$

=> $s = 1.766$

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 > \mu_2$

Generally the test statistics is mathematically represented as

$t = \frac{\= x _1 - \= x_2 }{s * \sqrt{\frac{1}{n_1} + \frac{1}{n_2}} }$

=> $t = \frac{6.714 - 6 }{1.766 * \sqrt{\frac{1}{7} + \frac{1}{7}} }$

=> $t = 0.757$

Generally the degree of freedom is mathematically represented as

$df = n_1 + n_2 - 2$

=> $df = 7 + 7 - 2$

=> $df = 12$

From the t distribution table the probability of $t = 0.757$ at a degree of freedom of $df = 12$ is

$t_{ 0.757 , 12} = 0.232$

Generally the p-value is

$p-value = t_{ 0.757 , 12} = 0.232$

From the values obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

8 0

3 years ago

A company determines an employee's starting salary according to the number of years of experience, as detailed in the table.

Pachacha [2.7K]

Answer:

59,000 I believe (I'm bad at math sorry in advance)

6 0

1 year ago

NEED HELP ASAP!! can someone please explain this to me!

34kurt

Answer:

BG = 3; GE = 6

Step-by-step explanation:

The centroid of a triangle divides the median into two parts in the ratio 1 : 2. That is, the short segment is 1/3 the length of the median, and the long segment is 2/3 the length of the median.

BG = 1/3·BE = 9/3 = 3

GE = 2/3·BE = 2/3·9 = 18/3 = 6

7 0

3 years ago

Alejandra was working on an animal report for school. She worked on it for 4 hours in a week. How many hours did she work on the

Mandarinka [93]

Answer: 0.57 hours each day or 34.28 minutes each day.

Step-by-step explanation:

1. You know that:

-Alejandra worked on the animal report for school for 4 hours in a week.

- A week has seven days.

2. Therefore, to calculate the number of hours she worked on the project each day (which you can call $x$ ), you can divide the number of hours worked on in a week by 7 days.

3. Therefore, you obtain the following result:

$x=\frac{4hours}{7day}\\x=0.57\ hours/day$

Multiply the result by 60 to obtain the time in minutes, then:

$x=34.28\ minutes$

3 0

3 years ago

Alicia borrowed $15,000 to buy a car. She borrowed the money at 8% for 6 years

myrzilka [38]

Answer:

She have to pay the bank at the end of the 6 years = 222000$

Step-by-step explanation:

Formula applied in this case where price, interest rate and time duration is mentioned.

Interest = prt/100

Substituting all the given values in the formula.

interest = 15000 * 6 * 8/100

150 * 6 * 8 = 7200

Interest + 15000 = 15000 + 7200 = 222000$ has to pay the total.

In this question amount is 15000 multiply by 6 and by 8 then divide it by 100 so we get the interest then we add it in to amount so we get an answer that is total amount which he has to pay. Hope this helps! :P PLZ GIVE ME BRAINLIST

7 0

3 years ago