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For a random sample of 35 items, a known population standard deviation of 23, and a sample mean of 211 estimate the:
a. the population mean with a confidence level of 95%b. the population mean with a confidence level of 98%
Election officials take a random sample of 100 signatures and thoroughly investigate them to find that 84% are valid. Is this statistically significant evidence that the candidate has enough valid signatures overall? Explain.
When performing a chi-square test for independence, explain how the "cell frequencies under the independence assumption" are calculated.
A manufacturer of batteries is considering three new battery designs. An attempt was made to determine whether the mean lifetime in hours is the same for each of the three designs.
In an experiment on a new drug to determine the most effective dosage and method of administration, subjects were randomly assigned to either 5, 10, 15, or 20 mg of the active drug.
The manager of a car wash receives pricing schedule (shown below) from the vendor who supplies soap- and a promise of a 25% shorter lead time for deliveries.
Service A delivers the document with probability 0.9, Service B with probability 0.9 and Service C with probability 0.8. What is the probability that at least one copy of the document will be delivered on time?
Of the students who scored around 50 on the midterm, about what percentage were in the top 25% of the class on the final?
At Ajax Spring Water, a half-liter bottle of soft drink is supposed to contain a mean of 520 ml. The filling process follows a normal distribution with a known process standard deviation of 4 ml.
Although the phenomnenon is not well understood, it appears that people born during the winter months are slightly more likely to develop schizophrenia than people born at other times.
A manufacturer produces a batch of memory chips (RAM) and measures the mean-time-between-failures (MTBF). The manufacturer then changes a manufacturing process and produces another batch and again measures the MTBF.
If zero can be the first digit and the numbers can be repeated, what is the probability Mr. Jones and Mrs. Smith select the same PIN? (Round your answer to 3 decimal places.)
A IRS auditor randomly selects 3 tax returns from 57 returns of which 6 contains errors. What is the probability that she selects none of those containing errors?
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