Null & Alternative Hypotheses
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1) The mean SAT score in mathematics is 488 . The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course want to carry out a hypothesis test to see if their claim has merit.
State the null hypothesis H0 and the alternative hypothesis H1 that they would use.
2) The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.7 auto accidents per day with a variance of 0.0036. The actuaries of the company claim that the variance of the number of accidents per day is no longer equal to 0.0036. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim.
State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.
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Solution Summary
The solution provides the null and alternative hypotheses for a couple of hypothesis testing problems.
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