1. A sample set of weights in pounds are 1.01, .95, 1.03, 1.04, .97, .97, .99, 1.01 and 1.03. Assume the
population of weights are normally distributed. Find a 99 percent confidence interval for the mean population weight.
2. Based on a random sample of 25 units of product X, the average weight is 102 lbs. and the sample
standard deviation is 10 lbs. We would like to decide if there is enough evidence to establish that the average weight for the population of product X is greater than 100 lbs. Assume the population is normally distributed. What is the decision at p=.01?
3.Below is a partial multiple regression ANOVA table.
Source SS df
x1 535.9569 1
x2 1167.5634 1
x3 18.9886 1
error 3459.6803 8
Test the overall usefulness of the model at alpha=.01. Calculate F and make your decision about whether the model is useful for prediction purposes.
This solution provides step by step calculations for various hypothesis testing questions.
Construct a 99 Percent Confidence Interval Around the Mean
A small town has a population of 20,000 people. Among these, 1,000 regularly visit a popular local bar. A sample of 100 people who visit the bar is surveyed for their annual expenditures in the bar. It is found that on average each person who regularly visits the bar spends about $2000 per year in the bar with a standard deviation of $200. Construct a 99 percent confidence interval around the mean annual expenditure in the bar.View Full Posting Details