An automobile dealer conducted a test to determine if the...

An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow. $$\begin{array}{lcc} & \multicolumn{2}{c} {\text { Analyzer }} \\& \text { Computerized } & \text { Electronic } \\\text { Compact } & 50 & 42 \\\text { Intermediate } & 55 & 44 \\\text { Full-sized } & 63 & 46\end{array}$$ Use $\alpha=.05$ to test for any significant differences.

Transcript

00:01 Hey there, welcome to numerate.

00:03 We have a car dealer trying to see test the time minutes to complete a minor engine to a tune up.

00:10 And you want to see if it depends on whether the computerized engine analyzer or an electronic analyzer, right? so we were given two categories, computerized and electronic and three rows, compact, intermediate, and full size.

00:23 We had to see if there's any difference, significant differences, using a 0 .05 significance level.

00:28 So our null and alternate hypothesis, let's start with that.

00:37 For our null hypothesis, it will be the first sentence of this question.

00:42 So it would be the time to complete minor engine tune up, or the time to complete tune up.

00:57 So i just abbreviate over here.

01:01 Tune up is independent on engine analyzer.

01:16 Is independent on engine analyzer or on analyzer all right then means our alternative alternative hypothesis is pretty similar but it's going to be dependent they're dependent on each other the time to complete tune -up is dependent dependent on an analyzer okay so we're going to do kai square stat because we're trying to look for any significant differences but first of all i created a table this table right here is different from what you have.

02:14 This is the expected values table.

02:21 Or we can say expected.

02:23 Okay.

02:24 How i found this expected values is through an equation.

02:29 So pretend let's do the first one.

02:30 Compact and computerize, 50, right? so if you look at the row total, you have to calculate the row total and the column total...

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