Answer:
The probability is 1/6.
Step-by-step explanation:
Answer:
As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.
Step-by-step explanation:
Here n= 20
Sample mean GPA = x`= 2.84
Standard mean GPA = u= 2.55
Standard deviation = s= 0.45.
Level of Significance.= ∝ = 0.01
The hypothesis are formulated as
H0: u1=u2 i.e the GPA of night students is same as the mean GPA of day students
against the claim
Ha: u1≠u2
i.e the GPA of night students is different from the mea GPA of day students
For two tailed test the critical value is z ≥ z∝/2= ± 2.58
The test statistic
Z= x`-u/s/√n
z= 2.84-2.55/0.45/√20
z= 0.1441
As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.
Answer:
(-10,-7)
Step-by-step explanation:
first reflect over x=-3
(-7,-10)
then reflect over y=x
(-10,-7)
The rate at 14% and 5% are $12, 883 and $2191 respectively.
<h3>How to determine the rate</h3>
Given that;
Invested amount = $ 15, 074 at 14% and 5%
Let rate at 14% = x
rate at 5% = y
We have rate at 9% exceeds that of 5% by $1694. 07
Hence,
0. 14x = 0. 05y + $1694. 07 ⇒ equation 1
x + y = $15, 074 ⇒ equation 2
Make 'x' the subject
x = 
Substitute in equation 2
Expand the expression
Collect like terms
Make 'y' the subject
y = 
y = 
Substitute the value in equation 2
x + y = $15, 074
x = $15, 074 - y
x = 
x = $12, 883
Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.
Learn more about simultaneous equations here:
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The probability of not drawing one is 8 because 5 plus 3 is 8
