Levels Tought:
Elementary,High School,College,University,PHD
Teaching Since: | May 2017 |
Last Sign in: | 260 Weeks Ago |
Questions Answered: | 20103 |
Tutorials Posted: | 20155 |
MBA, PHD
Phoniex
Jul-2007 - Jun-2012
Corportae Manager
ChevronTexaco Corporation
Feb-2009 - Nov-2016
Question description
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Provide a response to the following questions.
Note: Each team member should compute the following questions and submit to the Learning Team forum. The team should then discuss each team member’s answers to ascertain the correct answer for each question. Once your team has answered all the questions, submit a finalized team worksheet.
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The next table shows the results of this independent t test. At the .05 significance level, can you conclude that there is a difference in their mean times? Explain these results to a person who knows about the t test for a single sample but who is unfamiliar with the t test for independent means.
Hypothesis Test: Independent Groups (t test, unequal variance) |
|||||||
 |  |  |  |  |  |  |  |
 |
Prada |
Oracle |
 |  |  |  |  |
 |
12.170 |
14.875 |
mean |
 |  |  |  |
 |
1.056 |
2.208 |
std. dev. |
 |  |  |  |
 |
10 |
12 |
n |
 |  |  |  |
 |  |  |  |  |  |  |  |
 |  |
16 |
df |
 |  |  |  |
 |  |
-2.7050 |
difference (Prada - Oracle) |
 |  | ||
 |  |
0.7196 |
standard error of difference |
 |  | ||
 |  |
0 |
hypothesized difference |
 |  | ||
 |  |  |  |  |  |  |  |
 |  |
-3.76 |
t |
 |  |  |  |
 |  |
.0017 |
p-value (two-tailed) |
 |  |  | |
 |  |  |  |  |  |  |  |
 |  |
-4.2304 |
confidence interval 95.% lower |
 |  | ||
 |  |
-1.1796 |
confidence interval 95.% upper |
 |  | ||
 |  |
1.5254 |
margin of error |
 |  |  | |
 |  |  |  |  |  |  |  |
Since the p-value of .0017 is less than the significance level of .05, we can reject the null hypothesis. Based on this we can conclude that the mean times of the Prada and the Oracle are not he same.
At the .01 significance level, is there a difference in the mean amount purchased on an impulse at the two stores? Explain these results to a person who knows about the t test for a single sample but who is unfamiliar with the t test for independent means.
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Hypothesis Test: Independent Groups (t test, unequal variance) |
||||||
 |  |  |  |  |  |  |
 |
Peach Street |
Plum Street |
 |  |  |  |
 |
15.8680 |
18.2921 |
mean |
 |  |  |
 |
2.3306 |
2.5527 |
std. dev. |
 |  |  |
 |
10 |
14 |
n |
 |  |  |
 |  |  |  |  |  |  |
 |  |
20 |
df |
 |  |  |
 |  |
-2.42414 |
difference (Peach Street - Plum Street) |
|||
 |  |
1.00431 |
standard error of difference |
 | ||
 |  |
0 |
hypothesized difference |
 | ||
 |  |  |  |  |  |  |
 |  |
-2.41 |
t |
 |  |  |
 |  |
.0255 |
p-value (two-tailed) |
 |  | |
 |  |  |  |  |  |  |
 |  |
-5.28173 |
confidence interval 99.% lower |
 | ||
 |  |
0.43345 |
confidence interval 99.% upper |
 | ||
 |  |
2.85759 |
margin of error |
 |  | |
 |  |  |  |  |  |  |
The p-value of .0255 is greater than the significance level of .01, based on this the null hypothesis is not rejected. There is no difference in the means of the Peach Street store and the Plum Street store.
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Hypothesis Test: Independent Groups (t test, pooled variance) |
|||||||
 |  |  |  |  |  |  |  |
 |
Larry |
George |
 |  |  |  |  |
 |
4.77 |
5.02 |
mean |
 |  |  |  |
 |
1.05 |
1.23 |
std. dev. |
 |  |  |  |
 |
40 |
50 |
n |
 |  |  |  |
 |  |  |  |  |  |  |  |
 |  |
88 |
df |
 |  |  |  |
 |  |
-0.25000 |
difference (Larry - George) |
 |  | ||
 |  |
1.33102 |
pooled variance |
 |  |  | |
 |  |
1.15370 |
pooled std. dev. |
 |  |  | |
 |  |
0.24474 |
standard error of difference |
 |  | ||
 |  |
0 |
hypothesized difference |
 |  | ||
 |  |  |  |  |  |  |  |
 |  |
-1.02 |
t |
 |  |  |  |
 |  |
.3098 |
p-value (two-tailed) |
 |  |  | |
 |  |  |  |  |  |  |  |
 |  |
-0.73636 |
confidence interval 95.% lower |
 |  | ||
 |  |
0.23636 |
confidence interval 95.% upper |
 |  | ||
 |  |
0.48636 |
margin of error |
 |  |  |
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Since the p-value of .3098 is greater than the significance level of .05 we fail to reject the null hypothesis. The test supports that there is no difference in the mean number of service calls between Larry and George.
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