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For each of the following samples that were given an experimental treatment, test whether these samples represent populations that are different from the general population: (a) a sample of 10 with a mean of 44, (b) a sample of 1 with a mean of 48. The general population of individuals has a mean of 40, a standard deviation of 6, and follows a normal curve. For each sample, carry out a Z test using the five steps hypothesis testing with a two-tailed test at the .05 significance level, and make a drawing of the distributions involved.
Note that under the exponential assumption, P(X>t) = exp(-t/theta). If t=5, use the result from (a) to find an approximate one-sided lower 95% confidence limit for theta.
If Stocks 1 and 2 have expected returns of 9 percent and 10 percent per year, respectively, then what is the minimum expected annual return for Stock 3 that will enable Glenda to achieve her investment requirement?
Identify and justify which type of sampling (random, stratified, systematic, cluster, convenience) is used in the following examples.
If a random sample of 10 people found that 9 were pro-life (i.e., 90%), while another random sample of 1000 people from the same population found that 550 were pro-life (i.e. 55%), which would you find to be more significant? Why?
A survey of autos parked in student and staff lots at a large university classified the brands by country of origin, as seen in the table: Given that the car is Europena, what proportion of the drivers are staff?
A population with u=73 and o=9 is transformed into a new population with u=10 and o=2. What is the new value for each of the following scores in the population?
Support colour-coding on packaged food to indicate healthier options
At the 5% level of significance, test whether the proportion of internet users paying bills online is now more than 50%.
At 95% confidence using the critical value approach, determine if the proportion of females in the company is significantly less than 50%.
A small home-based company produces both hand-painted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours.
Thirty homes responded, and the sample mean water use per day was 77 gallons with a standard deviation of 9.0 gallons per day.
Markland Manufacturing intends to increase capacity by overcoming a bottleneck operation by adding new equipment. Two vendors have presented proposals.
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