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U.S. News and World Report (December 19, 1994, pp. 62-71) reported on a survey of 1000 American adults, conducted by telephone December 2-4, 1994, designed to measure beliefs about apocalyptic predictions. One of the results reported was that 59% of the sample said that they believe the world will come to an end.
a. Calculate the standard error of the sample proportion who believe that the world will come to an end.
b. Calculate a 95% confidence interval for the population proportion. Interpret the interval in a way that could be understood by a statistically naïve reader.
Do the data indicate that the lengths of one supplier's 2x4's are subject to more variability than those of the other supplier? Assume α = 0.05. (HINT: F Test for Differences in Two Variances)
If the company wishes to estimate, within 2 percentage points and with 99% confidence, the percentage of employees who are interested in participating in a new stock option benefits program, how large a simple random sample will be necessary?
The target value for the diameter of a certain type of driveshaft is .75 in. The size of the shift in the average diameter considered important to detect is .002 in. Sample average diameters for successive groups of n 5 4 shafts are as follows:
The average salary of managers in the advertising industry is $180,000 per year. Suppose we would like to take a sample of managers at a new company ABC
Show that if A and B are closed sets, then A ∪ B is a closed set.- Let B ⊂ A be a closed subset of a compact set A. Show that B is compact.
an advertisement for cold-ex claims an 40 percent end-of-treatment clinical success rate for the treatment of flu. 11
a) Compute the expected number of withdrawals b) Compute the probability that exactly four will withdraw c) Compute the probability that more than three will withdraw d) Compute the probability that two or fewer will withdraw
According to the Chebyshev rule, at least what percentage of the observation in any data set are contained within a distance of 3 standard deviations around the mean.
A study found that 38% of the assisted reproductive technology (ART) cycles resulted in pregnancies. Twenty-six percent of the ART pregnancies resulted in multiple births.
A nursing professional conducts an analysis to examine scores on the mental health service and treatment outcome questionnaire.
The effect of increased variation between groups. Set the pooled standard error for the One-Way ANOVA applet at a middle value. Drag the black dots so that they are approximately equal. What is the F statistic? Give its P-value.
For planning purposes, the hospital physician staff wold like to know the probability that a given patient is a smother is the patient has a serious illness.
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