Part A:
Significant level:
<span>α = 0.05
Null and alternative hypothesis:
</span><span>h0 : μ = 3 vs h1: μ ≠ 3
Test statistics:
P-value:
P(-0.9467) = 0.1719
Since the test is a two-tailed test, p-value = 2(0.1719) = 0.3438
Conclusion:
Since the p-value is greater than the significant level, we fail to reject the null hypothesis and conclude that there is no sufficient evidence that the true mean is different from 3.
Part B:
The power of the test is given by:
Therefore, the power of the test if </span><span>μ = 3.25 is 0.8105.
Part C:
</span>The <span>sample size that would be required to detect a true mean of 3.75 if we wanted the power to be at least 0.9 is obtained as follows:
Therefore, the </span>s<span>ample size that would be required to detect a true mean of 3.75 if we wanted the power to be at least 0.9 is 16.</span>
Answer:
a
b
tex]C(10)' = \$60 / feet[/tex]
c
Step-by-step explanation:
From the question we are told that
The price per square foot of a floor tile is
The cost of shipping is
The current length of the square bathroom is x = 10 ft
The new length is
Generally the equation representing the cost of the square tile is mathematically represented as
Generally the average rate of change of cost is mathematically represented as
Generally the cost for flooring a 12 feet square bathroom is mathematically represented as
=>
Generally the cost for flooring a 10 feet square bathroom is mathematically represented as
=>
So
=>
Generally the instantaneous rate of change of cost is obtained by the differentiating the cost function as follows
So the instantaneous rate of change of cost at length 10 feet is mathematically represented as
=>
Generally given that the new cost function is
Now the instantaneous rate of change of cost will now be
So the instantaneous rate of change of cost at length 10 feet is mathematically represented as
=>
Answer:
Step-by-step explanation:
No quadrant, because it's on the y axis.