AssignmentBefore contracting to have stereo music piped into each of his suites of offices, an executive had his office manager randomly select seven offices in which to have the system installed in the hopes of increasing productivity

ASSIGNMENT F

Use the following information for problems 1 – 3:

In a tensile adhesion test of a certain alloy specimen, the load at specimen failure in megapascals is as follows

18.9        17.5        19.1        19.3        15.7        14.6        15.7        14.3

16.4        15.3        18.4        17.7        15.8        13.2        12.5        16.7

Using appropriate graphical methods in R, check the data normalcy
Compute the appropriate sample statistics
If, appropriate, construct a 95% confidence interval
In a random sample of 200 components, 24 are found to fail the specifications.   Find a 95% CI for the proportion of components that fail the specifications.
If in problem 4 we wanted the margin of error to be , what should be the sample size?
A manufacturer claims that the mean output voltage of a power supply is 5 volts.   A researcher believes that the mean output is, in fact, different than 5 volts.  To this effect, he collects a sample of 20 output voltages and finds that the sample mean is 4.7 volts with standard deviation of 1.3 volts.  Assuming that the output voltage is normally distributed, what is his conclusion at level of significance 0.05? 
It is claimed that the proportion of people who favor the use of oxygenated fuels year around to reduce air pollution is 60%.  A pollster believes this proportion to be actually higher than 60%.  She polls a random sample of 500 registered voters and finds out that 315 of them favor the use of oxygenated fuels.  At level of significance 0.09, what is her conclusion?     
The deflection temperature under load for two different types of material is being investigated.  Two random samples of specimens are tested.  For the sample from material 1, the mean temperature was  with standard deviation , and sample size was 18; and for the sample from material 2 the mean temperature was  with standard deviation , and sample size was 21.  Assuming both populations to be approximately normal and their variances are roughly equal to each other, find a 95% confidence interval for the difference in the means.
For the data given in problem 8, test the hypothesis
at level of significance 0.05.

The age  and length  of a sample of a certain type of fish is as follows:

1.0
1.5
2.0
4.0
1.5
3.0
8.5
1.0
2.0
2.5
4.0
4.5

1.80
1.85
1.96
2.27
1.67
2.20
2.26
1.94
2.00
2.02
2.38
2.15

Using R, construct a scatter plot that shows the line of regression and interpret this graph.
Using R, find the least squares estimates and the equation of the fitted line.
Using R, estimate .

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