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At the 0.01 level of significance, is there evidence that reducing coffee prices is a good strategy for increasing the mean customer count?
The mean wage of people living in Alto Canillas is said to be £400 a week with a standard deviation of £100. A random sample of 36 people was examined. What is the acceptance range for a
Hamil Coaches Ltd say that their long-distance coaches take 5 hours for a particular journey. Last week a consumer group tested these figures by timing a sample of 30 journeys. These had a mean time
A food processor specifies the mean weight of a product as 200 g. A random sample of 20 has a mean of 195 g and a standard deviation of 15 g. Does this evidence suggest that the mean weight is too l
An emergency breakdown service suggests that 50% of all drivers are registered with their service. A random sample of 100 people had 45 who were registered. Does this sample support the original cla
Health service managers say that doctors should not spend more than 2 hours a day doing paperwork. A sample of 40 doctors spends an average of 2 hours 25 minutes a day doing paperwork, with a standa
A mobile phone has an advertised life of 30,000 hours. A sample of 50 phones had a life of 28,500 hours with a standard deviation of 1,000 hours. What can you say about the advertisements?
The number of road accident victims reporting to a hospital emergency ward is shown in the following table. Do these figures follow a Poisson distribution?
A frozen-food packer specifies the mean weight of a product as 200 g. The output is Normally distributed with a standard deviation of 15 g. A random sample of 20 has a mean of 195 g. Does this sugge
Hamil Sopa took a random sample of 60 invoices from his year's records. The mean value of invoices in this sample was £125.50 and the standard deviation was £10.20. What are the 90% and
A company wants to find the average weight of its products. A large initial sample shows the standard deviation of the weight is 20 g. What sample size would give a 95% confidence interval for the p
Last year a trial survey found that 65% of houses in Morrisey township had a computer. A follow-up survey wants to find the actual number of houses with a computer to within 3% with a 95% confidence
Wade (Retail) looked at a random sample of 100 invoices from a large population. Eight of these contained an error. What are the 90% and 95% confidence intervals for the proportion of invoices with
If the same results had been found from a sample of 20 pieces of equipment, what would be the 95% confidence interval? What would be the result if a Normal distribution had been used?
What is the weight Henry can be 95% confident the mean falls below? What are the two-sided confidence limits on this weight?
What is the number of defectives they can be 95% confident that the population mean is below? What is the number of defectives they can be 95% confident that the population mean is above? How do th
To reduce emergency room waiting times, the hospital improved patient check-in procedures, billing, record keeping, and laboratory processes. Acute-care beds are set aside for the real emergencies a
In the past, the proportion non-conforming has been 0.04. What is the probability that one of the fifteen samples taken today will contain an excessive amount of pollutants?
Four married couples have bought 8 scats in the same row for a concert. In how many different ways can they be seated?
A symphony orchestra has in its repertoire 30 Haydn symphonies, 15 modern works, and 9 Beethoven symphonies. Its program always consists of a Haydn symphony followed by a modern work, and then a Bee
Sven Hendriksson finds that one of his productivity measures is related to the number of employees, e, and the production, n, by the equations: 10n + 3e = 45 and 2n + 5e = 31 What are the current va
What percentage of the employees will experience lost-time accidents in both years?
A die is rolled twice. Let X denote the sum of the two numbers that turn up, and Y the difference of the numbers (specifically, the number on the first roll minus the number on the second). Show tha
Foreign Affairs magazine conducted a survey to develop a profile of its subscribers (Foreign Affairs website, February 23, 2008). The following questions were asked.
A developer of a new subdivision wants to build homes that are all different. There are three different interior plans that can be combined with any of five different home exteriors. How many differ