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Given the sample data below, we want to determine whether at 5 % significance, we can conclude for the population this sample represents that the population mean mu is less than 0 .9.
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That sample data has sample mean x bar equals 0 .64, sample standard deviation s equals 0 .15, and sample size n equals 187.
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In order to draw any conclusions with the population mean mu in the sample, we're going to have to conduct what's known as a hypothesis test.
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Namely, since we have a sample standard deviation s, we're going to be conducting a 1 -meant t test with the following parameters.
00:32
Null hypothesis h0, mu equals 0 .9, ha, or alternative hypothesis, mu is less than 0 .9, and alpha equals 0 .05.
00:42
We want to determine for this sample whether or not it represents the population with mean less than 0 .9.
00:49
To do so, we're going to have to compute three steps for this test, and we'll go through them one by one together now.
00:55
Step 1 out of 3, it's computing the t statistic for the sample...