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The following maintenance tasks were observed:
Task Time (Min.) Frequency Task Time (Min.) Frequency
35 2 25 12
17 6 19 10
12 2 21 12
15 4 23 13
37 1 29 8
27 10 13 3
33 3 9 1
31 6 - -
a.) What is the range of observations?
b.) Assuming 7 classes with a class interval width of 4, plot the data and construct a curve. What type of distrubtuion is indicated by the curve?
c.) What is the mean repair time?
d.) What is the standard deviation of the sample data?
e.) The system is required to meet a mean repair time of 25 minutes at stated confidence level of 95% Do the data reveal that the specification requirements will be met? Why?
Critically discuss the assumptions, if any, regarding a Chi-square test? What are the assumptions to apply linear regression?
For all questions, clearly explain/show your answers. For the Analysis section, justify your answers with the appropriate graphs, statistics, equations, etc.
Suppose the horses in a large stable have a mean weight of 1464 lbs, and a standard deviation of 111. What is the probability that the mean weight of the sample horses would differ from the population mean by less than 11 lbs if 34 horses are samp..
Which of following statements would be right concerning a twotail test at 0.05 level of significance? We can conclude that average cottage cheese consumption in America is at least 0.705 pound more or less than 2.75 pounds per person per year.
Suppose that 1% of all people have a particular disease. A test for the disease is 99% accurate. This means that a person who test positive for the disease has a 99% chance of actually having the disease
Describe why the normal distribution can be used as an approximation to binomial distribution. What conditions should be met to use the normal distribution to approximate the binomial distribution? Why is a correction for continuity essential.
Using this information, calculate Blpha risk (probability of Type II error) if the true population mean really is 79.
From the given research, compare the major players better at batting than 20 years ago using five step hypothesis.
Describe the difference in the determination of a confidence interval of a normal distribution if the variance is known or unknown.
Create a 95% confidence interval for population proportion of positive drug tests.
A psychologist is investigating the hypothesis that children who grow up as the only child in the household develop different personality characteristics than those who grow up in larger families.
Carry out a t-test to see if the mean healing rate is significantly lower in the experimental limbs, including all 12 newts. What are the test statistics and their P-values?
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