Given the following sample information, test the hypothesis that the treatment means are equal at the 0.10 significance level:

a. State the null hypothesis and the alternative hypothesis.

H₀ : μ₁  (Click to select)  =  >  <  μ₂    (Click to select)  =  >  <  μ₃

H₁ : Treatment means  (Click to select)  are not  are   all the same.

b. What is the decision rule? (Round the final answer to 2 decimal places.)

Reject H₀ if F >                 .

c. Compute SST, SSE, and SS total. (Round the final answers to 2 decimal places.)

SST =                

SSE =                

SS total =                  

d. Complete the ANOVA table. (Round the SS, MS, and F values to 2 decimal places.)

e. State your decision regarding the null hypothesis.

Decision:  (Click to select)  Reject  Do not reject  H_0.

f.Find the 95% confidence interval for the difference between treatment 2 and 3. (Round the final answers to 2 decimal places.)

95% confidence interval is:    ±     

We can conclude that the treatments 2 and 3 are  (Click to select)  different  the same   .

a. Using the original values, compute the Euclidean distance between the first two observations. (Round intermediate calculations to at least 4 decimal places and your final answer to 2 decimal places.)

Euclidean distance between observations 1 and 2 ___________

b. Using the original values, compute the Manhattan distance between the first two observations. (Round your final answer to 2 decimal places.)

Manhattan distance between observations 1 and 2 ___________

c. Use z-scores to standardize the values, and then compute the Euclidean distance between the first two observations. (Round intermediate calculations to at least 4 decimal places and your final answer to 2 decimal places.)

The z-score standardized euclidean distance between observations 1 and 2 ___________

d. Use the min-max transformation to normalize the values, and then compute the Euclidean distance between the first two observations. (Round intermediate calculations to at least 4 decimal places and your final answer to 2 decimal places.)

The min-max standardized euclidean distance between observations 1 and 2 ___________

The accompanying data file contains 10 observations with two variables, x₁ and x₂.

Screpcap Co. had the following transactions during the first week of June:

1. Record the transactions in a general journal.

2. Assuming these are the types of transactions Screpcap Co. experiences on a regular basis, select the best design for the following special journals for Screpcap:

a. Sales journal

b. Cash receipts journal

c. Purchases journal

d. Cash payments journal

Table 1

Quantity Total Revenue

0 $0

1 $5

2 $10

3 $15

4 $20

Refer to Table 1. For this firm, the average revenue is

$0.00

$5.00

$15.00

$20.00

Determine whether the two-person, zero-sum matrix game is strictly determined.

Yes, it is strictly determined.No, it is not strictly determined.    

If the game is strictly determined, answer the following. (If the game is not strictly determined, enter DNE for each.)

(a) Find the saddle point of the game.


(b) Find the optimal strategy for each player.

The optimal strategy for the row player is to play row  .
The optimal strategy for the column player is to play column  .

(c) Find the value of the game.


(d) Determine whether the game favors one player over the other.

It favors the row player.

It favors the column player.  

It is fair. or

It is not strictly determined. (DNE)

obs     gpa     iq      gender  concept
1       7.94    121     2       69
2       8.292   120     2       71
3       4.643   111     2       44
4       7.47    106     2       44
5       8.882   108     1       69
6       7.585   98      2       72
7       7.65    121     2       53
8       2.412   75      2       26
9       6       109     1       47
10      8.833   122     2       64
11      7.47    109     1       46
12      5.528   106     1       62
13      7.167   105     2       53
14      7.571   89      1       68
15      4.7     85      1       62
16      8.167   117     1       50
17      7.822   119     1       46
18      7.598   98      1       64
19      4       100     2       35
20      6.231   104     1       49
21      7.643   129     2       50
22      1.76    98      2       43
24      6.419   109     1       44
26      9.648   128     2       53
27      10.7    126     1       72
28      10.58   123     2       51
29      9.429   120     2       65
30      8       96      2       57
31      9.585   126     2       67
32      9.571   134     1       68
33      8.998   124     1       51
34      8.333   122     1       53
35      8.175   104     2       60
36      8       118     2       46
37      9.333   112     1       62
38      9.5     125     2       67
39      9.167   114     2       61
40      10.14   111     1       65
41      9.999   133     1       55
43      10.76   106     2       95
44      9.763   109     2       72
45      9.41    121     2       65
46      9.167   119     2       84
47      9.348   109     2       43
48      8.167   88      2       55
50      3.647   82      2       41
51      3.408   89      1       56
52      3.936   111     2       30
53      7.167   104     2       71
54      7.647   114     2       59
55      .53     81      2       16
56      6.173   74      2       42
57      7.295   101     2       72
58      7.295   123     1       65
59      8.938   124     1       55
60      7.882   96      1       32
61      8.353   118     2       68
62      5.062   102     2       45
63      8.175   121     2       65
64      8.235   115     2       56
65      7.588   113     2       71
68      7.647   112     2       47
69      5.237   79      1       28
71      7.825   96      2       48
72      7.333   95      1       64
74      9.167   100     2       90
76      7.996   106     2       56
77      8.714   101     1       65
78      7.833   102     1       63
79      4.885   88      2       52
80      7.998   118     1       74
83      3.82    89      2       56
84      5.936   88      1       73
85      9       93      1       65
86      9.5     122     1       88
87      6.057   102     2       52
88      6.057   101     1       61
89      6.938   117     2       39

The data from data216.dat contains information on 78 seventh-grade students. We want to know how well each of IQ score and self-concept score predicts GPA using least-squares regression. We also want to know which of these explanatory variables predicts GPA better. Give numerical measures that answer these questions. (Round your answers to three decimal places.)

(Regressor: IQ) R 2 =

(Regressor: Self-Concept) R 2 =

Which variable is the better predictor?

-IQ

-Self Concept

calculate [OH−] and pH for each of the following solutions.

1. 6.0×10⁻² M NaBrO

2. 7.7×10⁻² M NaHS

Can you draw out the mechanisms of 1-butanol, 2-butanol, and 2-methyl-2-propanol with the HCl ZnCl2 reagent? I need full structures.

The data

You have been given data from red maple and white oak trees from a national forest dominated by mixed hardwood stands.  The following variables for each tree are included

treecode,location,species,dbh,height
1-W-7,eastern,MR,46.8,39.2
1-N-1,eastern,MR,47.1,37.4
1-E-4,eastern,MR,60.6,41.1
2-M-2,eastern,MR,50.1,26.9
3-E-4,eastern,MR,16.4,25.2
3-M-6,eastern,MR,29.4,27.3
3-S-4,eastern,MR,33.3,38
3-N-5,eastern,MR,37.4,22.5
3-N-6,eastern,MR,36.4,25
4-M-3,eastern,MR,7.2,3.9
4-M-2,eastern,MR,8,6.1
5-E-3,eastern,MR,19.6,14.5
7-N-5,eastern,MR,41.6,34.1
8-W-5,eastern,MR,31.7,31
8-S-7,eastern,MR,39.4,31.2
11-M-3,eastern,MR,16.3,24.3
11-M-5,eastern,MR,22.8,26.2
11-M-8,eastern,MR,23.4,30.8
11-M-4,eastern,MR,29.5,25.6
11-N-7,eastern,MR,37.5,27.6
11-S-6,eastern,MR,40.4,34.8
13-M-3,eastern,MR,31.8,27.7
13-M-2,eastern,MR,67.4,37.8
14-M-5,eastern,MR,31.1,28.7
14-M-4,eastern,MR,35.4,30.6
14-W-2,eastern,MR,34.3,33.3
14-E-3,eastern,MR,41.5,32.4
14-N-3,eastern,MR,39.1,36.8
14-M-3,eastern,MR,51,43.4
42-N-1,western,MR,57.6,35.9
43-M-4,western,MR,2.5,4.8
43-M-5,western,MR,3.4,4.8
43-M-7,western,MR,7,7
43-M-9,western,MR,10.5,9.7
44-M-3,western,MR,18.2,22.3
44-E-3,western,MR,25.6,25.3
45-M-1,western,MR,62.7,40
46-M-1,western,MR,25.6,28.3
46-M-2,western,MR,28.7,26.6
46-M-5,western,MR,43.9,26.8
46-N-9,western,MR,50.9,36.1
46-M-7,western,MR,56.3,35.2
47-N-1,western,MR,8.6,8.7
47-E-4,western,MR,22.6,19.3
48-M-2,western,MR,26,21.6
48-S-5,western,MR,30.7,23.5
49-M-7,western,MR,38.3,26.8
49-W-1,western,MR,45.4,29.6
50-M-5,western,MR,27,19
3-W-5,eastern,OW,6,6.5
3-W-3,eastern,OW,12.5,7.8
3-M-4,eastern,OW,19.1,25.2
3-M-3,eastern,OW,34.4,25.2
7-M-3,eastern,OW,31.7,24.2
7-S-1,eastern,OW,40.2,23
7-N-6,eastern,OW,45.5,25.2
7-N-7,eastern,OW,52.4,31.3
7-W-5,eastern,OW,54.3,28.3
8-M-2,eastern,OW,37.8,30.9
8-E-1,eastern,OW,65,36.4
8-M-4,eastern,OW,68.1,32.2
9-S-6,eastern,OW,59.8,46.9
11-M-2,eastern,OW,12.1,18.6
11-E-2,eastern,OW,17.7,12.4
48-M-7,western,OW,62.5,27.6
49-M-8,western,OW,3.7,4.4
49-N-4,western,OW,47.8,19.5
49-M-6,western,OW,53.4,29.6
49-M-4,western,OW,56,25.3
49-M-3,western,OW,67.4,27.4
50-N-2,western,OW,45.4,20.8
50-M-7,western,OW,48.1,23.9
50-M-4,western,OW,45.4,23.4
50-M-2,western,OW,48.7,22.7
52-N-6,western,OW,5.2,7
53-E-2,western,OW,44.3,30.6
53-N-2,western,OW,45.3,23.7
53-M-5,western,OW,76.9,28.6
54-M-6,western,OW,32.7,23.3
54-M-2,western,OW,40.2,24.1
54-S-6,western,OW,47.8,26.1
55-M-1,western,OW,49,27
55-M-2,western,OW,66.3,26.7
56-M-3,western,OW,29.3,18.8
57-M-3,western,OW,37.9,37.4
58-M-6,western,OW,41.9,22.4
59-M-2,western,OW,24.7,15.1
61-M-6,western,OW,57.3,30.6
62-M-10,western,OW,4.1,8.3
62-M-2,western,OW,9.1,2.7

1. Read in the csv file into a dataframe called “trees” with either the Import utility in RStudio, or by using the function read.csv, e.g.:

trees = read.csv("C:/My Documents/ E-W MR-OW data.csv")

1. Examine the variables using the str function:

What kind of data is contained in the “species” variable?  What kind of data is contained in the height variable

2. Examine the first few lines of data using the head function:

head(trees)