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1. In 2001, the US Department of Labor reported the average hourly earnings for US production workers to be $14.32 per hour. A sample of 75 production workers during 2003 showed a sample mean of $14.68 per hour. Assuming the population standard deviation is $1.45, can we conclude that an increase occurred in mean hourly earnings since 2001? Perform a hypothesis test. Use alpha=0.05 .
2. Assume that the average number of hours of watching TV for a week for grade 12 students in a province is 15 hours. A sample of 50 students from ABC High School provided a sample mean of 14.15 hours. The population standard deviation is 3 hours.
(a) Test if the average number of hours spent in watching TV for this high school is different from the provincial average at 0.02 significance level.
(b) Use the confidence interval approach to test the hypothesis in (a).
A biologist has found that the average weight of 12 randomly selected adult mud turtles is 8.7 lb. with standard deviation 3.6 lbs. Construct a 99% confidence interval for the population mean weight of adult mud turtles.
Using the business problem selected ( business, economic or marketing)develop a problem statement which can be addressed with survey research. Prepare a 10-13-question survey to collect primary data regarding your selected problem statement.
James Burke claims that about 70% of all single men would welcome a women taking the initiative in asking for a date. A random sample of 20 single men were asked if they would welcome a women taking the initiative in asking for a date.
Is this an ideal data collection method? Can the results be considered reliable? Can the gathered data be representative of the population?
Wheel-Rite has agreed to ship the maximum number of wheel bearings that it produces each day to Itex when an order has been received.
At 0.05 level of significance, is there evidence that proportion of claims processed under this new system is higher than article reported for previous system?
A population of data from a paper supply company is known to have a mean weight of 55 ounces per ream and a population standard deviation of 5 ounces. The population is known to be bell shaped and symmetrical. Which of the following statements is ..
The airline must sell 150 seats to break even on this particular flight. On what percent of the flights does the airline make money?
Find a point estimate of the population mean. Find the 95% confidence interval of the true mean. Assume the population standard deviation was 0.8.
Professor Cox needs a volunteer amongst 30 students in his statistical applications course. The average age of his students is 25 years, with the standard deviation of 3 years.
If person is selected at random determine the probability that he/she has enzyme level less than 4.0 units/ml?
He argues that regression effect says people who do very poorly in their previous job tend to perform well in their next job. Is this what the regression effects? Describe in detail.
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