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Astronauts returning from space are susceptible to two kinds of problems: headaches and trembling. The probability distribution for x, the number of problems experienced by an astronaut is given below:
x 0 1 2__________________p(x) .33 .42 .25
Generate the sampling distribution for the mean number of problems based on samples of two astronauts (15 marks)
a. What is the mean and standard deviation of x?
c. Determine whether or not x¯ is an unbiased estimator of μ
d. An ideal point estimator should be consistent. What does this mean?
a basket of 1000 parts is selected at random from a shipment of 50 baskets. the chance of any single part being
Write a short report summarizing your results and conclusions. Be sure to include numerical and graphical summaries of what you have found.
Give a real world example of a situation where normal parametric tests would not be useful and where there is a need for nonparametric test methods. Be specific and explain why nonparametric tests are needed in that case.
Consider a parallel system consisting of two components denoted by 1 and 2. Such a system functions if and only if at least one of its components functions.
The winning team's score in 13 high school basketball games was recorded. If the sample mean is 54.3 points and the sample standard deviation is 11.0 points, find the 98% confidence interval of the true mean.
Suppose three films were directed by women. Is there any evidence to suggest that the proportion of films directed by women is different from 0.17? Justify your answer.
Many educators feel their grades should fit a normal distribution and often apply curves to make them fit one. One way to do this is to convert numeric grades to z scores using the mean and standard deviation for the grades, then use an equation s..
We want to estimate the population mean within 5, with a 99 percent level of confidence. The population standard deviation is estimated to be 15. How large a sample is required?
What is the most accurate statement that could be made about the p-value for this test? Construct and interpret the 90% confidence interval for the difference between the population means. Is the hypothesized difference (0.00) within the interval..
Throughout the company's franchises, the probability is 0.60 that a meal will be served within 45 seconds. What is the expected number of coupons a counter employee will receive when serving the regional manager?
test 1perform the following two-tailed hypothesis test using a .05 significance levelintrinsic by genderstate the null
What percentage of the product made in this process can be expected to fall into this desired category? (3) What is the theoretical probability of this process producing sheets with 5 or more inclusions?
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