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Fudgin [204]
4 years ago
11

Two random samples of 40 students were drawn independently from two populations of students. Assume their aptitude tests are nor

mally distributed and assume the variances of each sample are equal. The following statistics regarding their scores in an aptitude test were obtained: x with bar on top subscript 1 equals 76 comma space s subscript 1 equals 8 comma space x with bar on top subscript 2 equals 73 comma space s subscript 2 equals 7. Test at the 5% significance level to determine whether we can infer that the two population means differ. What is the conclusion from your test? a. None of these answers are correct b. Do not reject the null hypothesis c. Do not accept the null hypothesis d. Accept the alternate hypothesis e. Reject the null hypothesis
Mathematics
1 answer:
dybincka [34]4 years ago
7 0

Answer:

b. Do not reject the null hypothesis

Step-by-step explanation:

Given that two random samples of 40 students were drawn independently from two populations of students.  Assuming equal variances

we have the following data.

Sample 1

Mean:  

76

 

Standard deviation:  

8

 

Sample size:  

40

 

Sample 2

Mean:  

73

 

Standard deviation:  

7

 

Sample size:  

40

H_0: \bar x_1=\bar x_2\\H_a:  \bar x_1\neq \bar x_2

Difference -3.000

Standard error 1.681

95% CI -6.3462 to 0.3462

t-statistic  -1.785

DF  78

Significance level P = 0.0782

Since p value >0.05,

b. Do not reject the null hypothesis

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Jack is trying to make extra money on his summer vacation from school. He works two different jobs, earning $9 per hour washing
Sveta_85 [38]

Answer:

$57

9w+6d

Step-by-step explanation:

Given that:

Earnings per hour for washing cars = $9

Earnings per hour for walking dogs = $6

Number of hours for which car washing is done = w

Number of hours taken for walking dogs = d

Earnings for w hours for washing cars = Per hour earnings multiplied by number of hours = $9w

Earnings for d hours for walking dogs = Per hour earnings multiplied by number of hours = $6d

Total earnings by both = $(9w+6d)

Now, given that

Number of hours spent washing cars = 5 hours

Number of hours spent walking dogs = 2 hours

Therefore, total earnings by both = 9 \times 5 + 6 \times 2 = <em>$57</em>

5 0
3 years ago
What is -19 + 37?<br> -56<br> -18<br> 18<br> 56
rodikova [14]
All your doing here is 37-19 adding negative is the same has munising 

So 37-19=18
5 0
3 years ago
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. Find the area of t
dem82 [27]

Answer:

easy 230-80 which is 150 so imagine a triangle with base 150 and hight 130-60=70 so times for area 150×70÷2 because it's triangle which is <em>5</em><em>2</em><em>5</em><em>0</em> so plus that with 130x80 for rectangle which is 10400 and add so it's 15650

8 0
3 years ago
Read 2 more answers
Please help thanks so much
Goshia [24]

Answer:

<em>y = (-4/3)*x + 7</em>

<em />

Step-by-step explanation:

The point-slope form of the equation of a line is: <em>y = a*x + b </em>

In the above equation, <em>a </em>is the slope of the line representing the equation in the graph and y is the function of x [y = y(x)]

The given line has a slope of -4/3, so that <em>a = -4/3 </em>

=> The equation of this line has a form as following: <em>y = (-4/3)*x + b (1)</em>

<em />

As the line passes through the point (9; -5) (in which: x = 9; y = -5). Replace x =9 and y = -5 into the equation (1), we have:

<em>y = (-4/3)*x + b</em>

<em>=> -5 = (-4/3)*9 + b </em>

<em>=> -5 = -12 + b </em>

<em>=> b = 7</em>

<em />

So that the equation in point-slope form of the given line is:

<em>y = (-4/3)*x + 7</em>

<em />

6 0
4 years ago
If a car travels x miles/hour for 3 hours, how far car travel after 6 hours?
galina1969 [7]

Answer:

e will be the answer for sure of miles it happene d for the past hours he traveled in and how long

4 0
3 years ago
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