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Many vehicles used in space travel are constructed with redundant systems to protect flight crews and their valuable equipment. In other words, backup systems are included within many vehicle components so that if one or more systems fail, backup systems will assure the safe operation of the given Component, and thus the entire vehicle. Consider one particular component of the US space shuttle that has n duplicates (that is, one primary component and n-1 backups). Each of these systems functions, independently of the others, with probability 0.98. As long as at least one of these systems is functioning, this shuttle Component functions successfully.
Assume a normal distribution applies and alpha = 0.05 (Use Z table), find the Critical value for the alternative hypothesis:
Classic Golf, Inc. manages five courses in the Jacksonville, Florida, area. The Director wishes to study the number of rounds of golf played per weekday at the five courses. He gathered the following sample information.
A random sample of 15 first-year CMAs in Denver produces a mean salary of $32,279, with a standard deviation of $1,797. Test the hypothesis that the mean for all Denver first-year CMAs is not equal to $31,129. Use the .05 level of significance.
Fast Service Truck Lines uses the Ford Super Duty F-750 exclusively. Management made a study of the maintenance costs and determined the number of miles traveled during the year followed the normal distribution.
In a clinical study of an allergy drug, 112 of the 210 subjects reported experiencing significant relief from their symptoms. At the 0.01 significance level,
To test H0: against the alternative H1: in Q 1.5 above, the degrees of freedom of a suitable t-statistic is: In a study of the effect of oral contraceptives (OCs) on blood pressure, measurements were made on 10 OC users (x) and 14 non-users (y).
Assume that male snakes of a particular species are all scaled versions of the same basic shape. Describe in words the sort of relationship that you might expect there to be between the volume and the length of a snake. What relationship would you ..
The following frequency distribution was obtained. The data values are in hours. Construct a histogram for the data .
A random sample of 10 observations from one population revealed a sample mean of 23 and a sample deviation of 4. A random sample of 8 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5.
Given that SAT test scores are normally distributed with a mean of 1000 and a standard deviation of 200, what is the lowest possible score a student needs to qualify for acceptance into the university?
Find the mean and standard deviation for the numbers of boys in groups of 51. b) Is the result of 39 boys unusual? Does it suggest that the gender-selection method appears to be effective?
Explain how probability is used in that situation. Identify the type of probability your example best fits by explaining whether it is an independent event or dependent upon something else.
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