A test statistic is a parameter used during a hypothesis
test to determine whether to accept or reject the null hypothesis. There are 2
test statistics, the z-score and t-score. The main difference is that the
t-score is used when sample size is not greater than 30. Therefore we will use
the t-score in this case.
The formula for t-score is:
t-score = (x – μ<span>) / (s / sqrt n) -----> equation 1</span>
Where,
x = sample mean = 10.1
μ =
population mean = 9.7
s = sample
standard deviation = 1.8
<span> n = sample size = 30</span>
Substituting
the given values in equation 1:
t-score =
(10.1 – 9.7) / (1.8 / sqrt(30))
t-score = 1.22
<span>Answer: The test statistic is 1.22.</span>
Answer:
Step-by-step explanation:
Let x represent the number of cars that Jamie washes.
Let y represent the number of pies that Stella makes.
The amount of money needed by Jamie and Stella to sign up for the trip is $600 each
Jamie earns $25 for each car washed. This means that if he washes x cars, he would earn 25×x =$25x
Stella earns $15 for each pie made.
This means that if she makes y pies, she would earn 15×y =$15y
Part 1) The inequality is
25x greater than or equal to 600
Part 2)The inequality is
15y greater than or equal to 600
Part 3) Stella only has enough supplies to make 40 pies. Total amount made from 40 pies would be 40×15 = 600
Jamie's earnings is
25x greater than or equal to 600
Stella's earnings is
15y lesser than or equal to 600
Part 4) Maximum amount of money that Stella can earn is 15×40 = $600
Therefore, Stella can afford to sign up for the trip.
Answer:
?
Step-by-step explanation:
<span>2y = 4x + 8 ------> y = 2x + 4
4y = 4x + 20 ------> y = x+5
2x+4 =x+5
x = 1
y=x+5=1+5=6
Check:
</span>2*6 = 4*1 + 8 , 12 =12
4*6 = 4*1 + 20, 24 =24<span>
x=1,y=6
(1,6)
</span>
Answer:
x=12, y= 20
Step-by-step explanation:
We can find x using the pythagorean thereom because ABD is a right triangle.(D is the point between segments with legnth 5 and 11)
AC^2 + CD^2 = AD^2
x^2 + 5^2 = 13^2
x^2 = 25 = 169
x^2 = 144
x = 12
We may now find y using the pythagorean thereom because ABC is a right triangle. Right now we know x = 12
AC^2 + CB ^2 = AB^2
12^2 + 16^2 = y^2
144 + 256 = y^2
y^2 = 400
y= 20
<em>I hope this helps! :)</em>
