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One-tail tests

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If your alternative hypothesis has ">" or "<", that means it's a one-tail test.

Scenario: The Delta Apple Pi chapter at Crammer Nation University claims that their brothers get on average 25 Tinder matches per day. You have a hunch that their daily Tinder matches are actually lower than that, so you collect a random sample of 35 Delta Apple Pi brothers' daily Tinder matches. You measure a mean of 23.5 daily matches with a standard deviation of 5.7 matches. Provide support for your claim using a hypothesis test with an alpha level of 0.05.

We'd be assessing the p-value (the area under the distribution curve) of a sample occurring with a sample parameter less than ("<") the one we found.

Created with Statistics Kingdom

Scenario: The Delta Apple Pi chapter at Crammer Nation University claims that their brothers get on average 25 Tinder matches per day. You have a hunch that their daily Tinder matches are actually greater than that, so you collect a random sample of 35 Delta Apple Pi brothers' daily Tinder matches. You measure a mean of 26.5 daily matches with a standard deviation of 5.7 matches. Provide support for your claim using a hypothesis test with an alpha level of 0.05.

We'd be assessing the p-value (the area under the distribution curve) of a sample occurring with a sample parameter greater than (">") the one we found.

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