True or false: the basic rate can be calculated by dividing the basic wage by the hours worked?
2 answers:
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Answer:
t = 2.9272 > 1.708 at 25 degrees of freedom
null hypothesis is rejected
The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes
Step-by-step explanation:
<u>Step (i):</u>-
A sample of 26 main roads results in a mean waiting time of 21.1 minutes with a sample standard deviation of 5.4 minutes.
Given sample size 'n' = 26
The mean of the sample 'x⁻ = 21.1 min
Standard deviation of the sample 'S' = 5.4 min
The Population mean 'μ' = 18min
<u>Step(ii)</u>:-
<u>Null hypothesis: H₀</u> : The council decides that it will increase the transportation budget if the amount of waiting time for drivers exceeds 18 minutes.
'μ' > 18min
<u>Alternative hypothesis</u> :H₁:
'μ' <18min
<u>Level of significance :</u> ∝=0.05
Degrees of freedom γ = n-1 = 26-1 =25
The test statistic
t = 2.9272
<u>Step(iii)</u>:-
The tabulated value t = 1.708 at 25 degrees of freedom
t = 2.9272 > 1.708 at 25 degrees of freedom
Null hypothesis is rejected at 5% significance level of significance
<u>Conclusion</u>:-
The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes
Answer:
(A) y= -1.026x^2 + 1016.402x - 162075
Step-by-step explanation:
Here is the options to the question
Which equation best represents the data?
A) y= -1.026x^2 + 1016.402x - 162075
B) y= -1.036x^2 + 1024.771x - 163710
C) y= 298.214x - 66317.667
D) y= 196.2x – 18710
(A) y= -1.026x^2 + 1016.402x - 162075
The data above represents the company's profit based on number of items produced.
To get the equation which best represents the data, we have to substitute the value of x into the given equations
By substituting x=100 in first equation, we have:
y = -1.02x² + 1016.402x – 162075
y = -1.026(100)² + 1016.402(100) – 162075
y = -70500
y = -70500
Option A satisfies.
Using the second equation
When x = 100
y = -1.036x^2 + 1024.771x - 163710
y = -1.036(100)² + 1024.771(100) - 163710
y = -10360 + 102477.1 – 163710
y = -71592.9
Option B doesn’t satisfies
We can also replace the various values of x in the equations to check whether or not they satisfy.
