Identify the null hypothesis H0 and the alternative hypothesis HA. Use μ for a claim about a mean and p for a claim about a proportion. A student believes that the average grade on the final exam in statistics is less than 85 and she plans to test her belief. The correct set of hypotheses is:

Find the indicated probability. A bin contains 67 light bulbs of which 7 are defective. If 6 light bulbs are randomly selected from the bin with replacement, find the probability that all 6 selected bulbs are NOT defective.

Do one of the following, as appropriate: (a) Find the critical value , (b) find the critical value , (c) state that neither the normal nor the t distribution applies. 90%; n = 10; σ is unknown; population appears to be normally distributed.

If Z is a standard normal variable, find the probability. P(-0.73 < Z < 2.27)

Solve the problem.In a certain town, 90 percent of voters are in favor of a given ballot measure and 10 percent are opposed. For groups of 220 voters, find the mean for the number who oppose the measure.

Find the indicated probability. A sample of 4 different calculators is randomly selected from a group containing 50 that are defective and 23 that have no defects. What is the probability that ALL 4 of the calculators selected (without replacement) are defective? 

A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 7.7 hours.

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