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Employer A states the average number of days missed in a year by each staff member is 4.0. Office personnel randomly sampled a portion of their attendance records to determine if this claim was accurate. For the previous year, the following data was obtained from the sample group, regarding absences for that year: 4, 4, 3, 2, 6, 8, 7, 1, 9, 3, 1, and 6. At the .05 level of significance, is there convincing evidence that the number of absences per employee has increased?
What is the probability that the mean price for a sample of 30 service stations is within $.03 of the population mean (to 4 decimals)?
In its third year, a football team averaged 16,050 fans per game, with a standard deviation of 2,500 fans. What is the probability that the number of fans at any given game was greater than 20,000?
Test of claim for the statement made for a given paired sample:
The life expectancy of Timely brand watches is normally distributed with a mean of four years and a standard deviation of eight months.
A researcher claims that the average age of people who buy theatre tickets is 51. A sample of 30 is selected and their ages are recorded as shown below.
A month is classified as "extremely wet" if the amount of rainfall is in the upper 10% for that month. How much precipitation must fall before a month of April is classified as "extremely wet".
Prove that each of the following sets is countable: The set of all numbers with two distinct decimal expansions (like 0.500... and 0.4999...);
In a certain town, 60% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults
Bags of cookies that have weights in the upper 7.5% are too heavy and must be repackaged. What is the most a bag of cookies can weigh and not need repackaging?
Set up hypotheses and test to find out whether or not population variance is larger than $100.
Negatively correlated and that the area of the home and the selling price are positively correlated? Use the .05 significance level. Report the p- value of the test.
a) What is the purpose of sampling? b) What are some concerns and dangers of sampling?
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