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Chapter 13: Q.13 (page 764)

What is the Mean Square Factor?

Short Answer

Expert verified

The Mean Square Factor is2496.6.

Step by step solution

01

Given Information

Groups of men from three different areas of the country are to be tested for mean weight.

Group 1 Group 2 Group 3
216202170
198213165
240284182
187228197
176210201
02

Explanation

To calculate sum of square factor, use Ti-83 calculator. For this, click on STAT →press 1→EDIT, then put the above given weights of different groups data into the list L1,L2andL3. The screenshot is given as below:

03

Explanation

Now-Again press STAT →arrow over the TESTS →arrow down to ANOVA →Press var then select1, press var then select 2, press var then select 3to fill the values of L1,L2andL3. The screen shot is given as below:

04

Explanation

Press ENTER. The screenshot of the obtained output of calculated mean square factor is given as below:

Thus, the mean square factor is2469.6.

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Most popular questions from this chapter

60. Suppose a group is interested in determining whether teenagers obtain their drivers licenses at approximately the same average age across the country. Suppose that the following data are randomly collected from five teenagers in each region of the country. The numbers represent the age at which teenagers obtained their drivers licenses.


Northeast
South
West
Central
East

16.3
16.9
16.4
16.2
17.1

16.1
16.5
16.5
16.6
17.2

16.4
16.4
16.6
16.5
16.6

16.5
16.2
16.1
16.4
16.8
x¯=
-------------------
-------------------
-------------------
-------------------
-------------------
s2=
-------------------
-------------------
-------------------
-------------------
-------------------

State the hypotheses.
H0:-----
Ha:-----

13.2 The F Distribution and the F-Ratio
Use the following information to answer the next three exercises. Suppose a group is interested in determining whether teenagers obtain their drivers licenses at approximately the same average age across the country. Suppose that the following data are randomly collected from five teenagers in each region of the country. The numbers represent the age at which teenagers obtained their drivers licenses.


Northeast
South
West
Central
East

16.3
16.9
16.4
16.2
17.1

16.1
16.5
16.5
16.6
17.2

16.4
16.4
16.6
16.5
16.6

16.5
16.2
16.1
16.4
16.8

--------------------
--------------------
-------------------
-------------------
-----------------

--------------------
--------------------
-------------------
-------------------
-----------------

H0:μ1=μ2=μ3=μ4=μ5
Hα: At least any two of the group means μ1,μ2,…,μ5 are not equal.

The New York Choral Society divides male singers up into four categories from highest voices to lowest: Tenor1, Tenor2, Bass1, Bass2. In the table are heights of the men in the Tenor1 and Bass2 groups. One suspects that taller men will have lower voices, and that the variance of height may go up with the lower voices as well. Do we have good evidence that the variance of the heights of singers in each of these two groups (Tenor1 and Bass2) are different?

Tenor1Bass2Tenor1Bass2Tenor1Bass2
697267726867
727570746770
716765706470
66757266
69
76747068
72
74726875
71
71726468
74
66747370
75
68726672

MRSA, or Staphylococcus aureus, can cause a serious bacterial infections in hospital patients. Table 13.6 shows various colony counts from different patients who may or may not have MRSA. The data from the table is plotted in Figure 13.5.

Conc=0.6Conc=0.8Conc=1.0Conc=1.2Conc=1.4
916223027
6693147199168
9882120148132

Plot of the data for the different concentrations:

Test whether the mean number of colonies are the same or are different. Construct the ANOVA table (by hand or by using a TI-83,83+,or84calculator), find the p-value, and state your conclusion. Use a5%significance level.

Two students are interested in whether or not there is variation in their test scores for math class. There are 15total math tests they have taken so far. The first student’s grades have a standard deviation of 38.1.The

second students' grades have a standard deviation of 22.5. The second student thinks his scores are more consistent.

State the null and alternative hypotheses.

At the 5% significance level, is there a difference in the mean jump heights among the teams?
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