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1. what is the smallest value of $\mu_0$ that you would reject for (to two decimal places)?
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@@ -168,12 +168,12 @@ setting.
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--- &multitext
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Suppose that in an AB test, one advertising scheme led to an average of 10 purchases per day for a sample of 100 days, while the other led to 11 purchaces per day, also for a sample of 100 days.
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Assuming a common standard deviation of 4 purchaces per day.
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Assuming a common standard deviation of 4 purchases per day.
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Assuming that the groups are independent and that they days are iid, perform a Z test of
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equivalence.
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1. What is the P-value reported to 3 digits expressed as a proportion?
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2. Do you reject the test? (O for no 1 for yes).
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2. Do you reject the test? (0 for no 1 for yes).
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*** .hint
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The standard error is
@@ -298,8 +298,7 @@ innocent. Relate this property back to hypothesis tests.
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--- &multitext
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Consider the `mtcars` data set.
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1. Give the p-value for a t-test for assuming
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constant variance comparing MPG for 6 and 8 cylinder cars as a proportion to 3 decimal places.
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1. Give the p-value for a t-test comparing MPG for 6 and 8 cylinder cars assuming equal variance, as a proportion to 3 decimal places.
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2. Give the associated P-value for a z test.
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3. Give the common standard deviation estimate for MPG across cylinders to 3 decimal places.
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4. Would the t test reject at the two sided 0.05 level (0 for no 1 for yes)?
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