Okay, so I am doing a Math project where I must ask 100 people two questions dealing with numbers. The questions are:
2 answers:
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The measure of VY is 28 units
<u>Solution:</u>
To find: The measure of VY
From the given,
WZ bisects VY, then we can conclude that VZ = ZY ---> (1)
VZ=2x+2 and ZY=3x-4
Substituting the above values in (1) we get,
Since, WZ bisects VY, VY=VZ+ZY ---> (2)
On substituting the value of x in (2) we get,
Answer:
The 90% confidence interval for the mean production rate fro the new method is (75.9, 84.1).
Step-by-step explanation:
We have to calculate a 90% confidence interval for the mean.
The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.
The sample mean is M=80.
The sample size is N=18.
When σ is not known, s divided by the square root of N is used as an estimate of σM:
The degrees of freedom for this sample size are:
The t-value for a 90% confidence interval and 17 degrees of freedom is t=1.74.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 90% confidence interval for the mean production rate fro the new method is (75.9, 84.1).