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To estimate the number of typographical errors in a 65-page manuscript, a systematic sample of pages is selected by first selecting a random number between 1 and 10 and including in the sample that numbered page and every 10th page thereafter. The random number selected was 6. The number of typographical errors on the sample pages were 1, 0, 2, 3, 0, and 1. Assume that no errors on sample pages were missed.
(a) Give an unbiased estimate, under the design used, of the total number of errors in the manuscript. What design was used?
(b) The person doing the survey estimated the total number of errors in the manuscript by 65(1 + 0 + 2 + 3 + 0 + 1)/6 = 75.83. Which estimator was used? Is it unbiased with the design used?
(c) The variance of the estimator was estimated by 65(65 - 6)(1.37)/6, where 1.37 is the sample variance of the six error counts. Is this unbiased for the actual variance of the estimator of the total number of errors? Discuss.
Strongly support, support, no opinion, do not support, strongly do not support. The number of people in each category was recorded.
Refer to the previous exercise. The researchers in this study also measured α1-acid glycoprotein (AGP). This protein is similar to CRP in that it is an indicator of infection.
Use the contingency table you constructed in Module 2 to determine if there is evidence of a significant difference between proportions of males and females who enjoy shopping for clothing at the 0.01 level of significance.
Carry out a significance test for the hypothesis that the two tests have the same population mean. Give the P-value and state your conclusions.
In an experiment designed to test the output levels of six treatments, the following results were obtained:
Consider the Markov chain whose state at any time is the vector (n1, ... , nm) where ni denotes the number of balls in urn i. Guess at the limiting probabilities for this Markov chain and then verify your guess and show at the same time that the M..
a sample of 20 students who had recently taken elementary statistics yielded the following information on brand of
Find out the expected number of correct responses under these circumstances if one in fact selects the responses at random. What is the standard deviation?
Suppose that you perform a significance test regarding a population mean and that the evidence does not warrant rejection of the null hypothesis.
What is the probability that the poll gets a sample in which fewer than 45% say they do not get enough time for themselves. Show your method.
Given the following data on the number of pints of ice cream sod at a local ice cream store for a 6 period time frame.
In a certain town, 60% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults
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