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99 percent confidence interval

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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.

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This solution provides step by step calculations for various hypothesis testing questions.

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Construct a 99 Percent Confidence Interval Around the Mean

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