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Use the following information to complete a full hypothesis test and answer the next three questions. H 0 :   μ = 15             H 1 :   μ < 15           σ = 2             n = 30           α = . 10             x ¯ = 14 . 3 What is the rejection region?

In a test of a mean, the reported p-value is .025. Using α =.05 the conclusion would be to

Which of the following results in a smaller confidence interval width for the population mean (everything else held constant):

What is the probability of a Type I Error?

The rejection region in a hypothesis test

Which of the following decisions could result in a Type II error for a test?

Find the variance of X.

Lets say that you have data from the recent CIA World Factbook on electricity consumption in billions of kilowatt-hours (eleccons) and gross domestic product in billions of dollars (gdp) for the 30 most populous countries. For the purpose of this problem, assume that increases in electricity consumption tend to respond to increases in GDP (rather than the other way around). Consider the simple liner equaion  Y i = β 0 + β 1 X i + ε If you want to use the model to predict electricity consumption, say which variable should be the predictor (X) and which the response (Y) for this problem.

To use a p-value to make a conclusion in a hypothesis test, compare the p-value with

What type of control tissue should be used when performing the alcian blue pH 2.5?