Ms lisa monnin is the budget director for nexus media...

Name: ms lisa monnin is the budget director for nexus media incorporated she would like to compare the daily travel expenses for the sales staff and the audit staff she collected the following sam 53245
Uploaded: 2022-02-17T17:44:35-08:00
Duration: 3 min 53 s
Channel: Sheryl Ezze
Description: ms lisa monnin is the budget director for nexus media incorporated she would like to compare the daily travel expenses for the sales staff and the audit staff she collected the following sam 53245

Ms. Lisa Monnin is the budget director for Nexus Media Incorporated She would like to compare the daily travel expenses for the sales staff and the audit staff. She collected the following sample information. Sales ($)129137142122137145 Audit ($)128128128140128100120 Verify the assumption that the variances are equal. Use the 0.10 significance level. At the 0.10 significance level, can Lisa conclude that the mean daily expenses are greater for the sales staff than the audit staff?

Transcript

00:01 So we're going to be assuming that the main daily expenses for the sales is equal to that of the audit, and alternately that the sales is higher than the audit.

00:15 And we have our data listed down, and i found for the sales data that the mean of the first group is $142 .50.

00:29 The second group has a mean of $130 and roughly 29 cents.

00:36 We have a sample standard deviation for this group of 12 .24.

00:44 And for this group, we have a sample standard deviation of 15 .787.

00:52 Well, i'll call it 7 .9.

00:53 And this has a sample size of 6, and this has a sample size of 7.

00:57 So we would be calculating that pooled standard deviation or that pooled variance, and that would be taking one less than the sample size times this value, and then one less than that sample size times this value, and then divided by six plus seven, divided minus two.

01:20 So our degrees of freedom here is 13 less 2 is 11.

01:24 And when we get that value, this comes out, i actually have it square rooted, that that value comes out to be 14 .28, and i'm going to round it to 6 for the square root of that.

01:36 And so we would calculate our test statistic.

01:39 And, well, let's, first of all, let's show what that critical value is for testing.

01:44 And we are to use a 10 % significance level.

01:48 So we would put all 10 % in this level.

01:52 And we would want to want.

01:53 The degrees of freedom here is again this 13 minus 2 is 11 and so we want that critical value and so when we have 10 % in that upper tail with only 11 degrees of freedom that value is 1 .363 so that's our critical value anything higher than that is going to cause us to reject and this is where we would fail to reject so let's go through and calculate that test statistic and that t value with 11 degrees of freedom is going to be the difference between those means.

02:29 So 142 .5 minus that 130 .29...

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