or Text). The data are stored in PASeniors.Use technology to find the summary statistics for each of the four categories. 1. Which group has the largest mean number of texts sent? 2. Which group has the smallest? Use technology to conduct an ANOVA test. 3. What is the F-statistic? (round to two decimal places) 4. What is the p-value? (round to four de
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Texts Sent Per Day and Favorite Way to Communicate Exercise 1.24 introduces a survey given to a sample of high school seniors in Pennsylvania. Two of the variables in the survey are TextsSent, the number of text messages sent per day, and Communicate, the student’s favorite way to communicate with friends (App, In person, Phone, or Text). The data are stored in PASeniors.Use technology to find the summary statistics for each of the four categories.
4. What is the p-value? (round to four decimal places)
Communicate |
TextsSent |
Text |
500 |
Text |
30 |
Phone |
50 |
App |
50 |
In person |
500 |
Text |
15 |
In person |
100 |
In person |
0 |
In person |
0 |
Text |
5 |
In person |
3 |
In person |
14 |
Text |
4 |
Text |
75 |
Text |
100 |
|
|
Text |
61 |
In person |
0 |
Text |
100 |
App |
0 |
Text |
100 |
Text |
50 |
|
2 |
Text |
13 |
Text |
50 |
In person |
50 |
In person |
|
In person |
15 |
Text |
100 |
In person |
75 |
Phone |
600 |
Text |
20 |
In person |
4 |
Text |
30 |
Text |
10 |
App |
8 |
Text |
69 |
Phone |
20 |
In person |
5 |
Text |
100 |
Text |
7 |
App |
20 |
Text |
100 |
Text |
20 |
App |
0 |
Text |
10 |
Text |
45 |
Text |
20 |
Text |
30 |
Text |
4 |
In person |
60 |
Phone |
1 |
In person |
55 |
Text |
23 |
In person |
500 |
In person |
0 |
Text |
30 |
Text |
25 |
Text |
50 |
In person |
2 |
Text |
50 |
App |
0 |
Text |
5 |
App |
5 |
App |
0 |
Text |
100 |
Text |
50 |
Text |
40 |
Text |
100 |
App |
0 |
Text |
75 |
In person |
0 |
|
10 |
Text |
50 |
In person |
20 |
Text |
20 |
App |
0 |
Phone |
300 |
App |
100 |
Text |
50 |
Text |
30 |
Text |
100 |
Text |
300 |
In person |
10 |
Text |
50 |
Phone |
85 |
In person |
80 |
App |
0 |
Text |
60 |
Phone |
10 |
Text |
1 |
App |
50 |
Phone |
50 |
App |
100 |
Text |
16 |
Text |
15 |
Text |
75 |
Text |
150 |
Text |
0 |
Text |
50 |
Text |
30 |
Phone |
50 |
Text |
75 |
Phone |
1 |
Text |
80 |
Phone |
300 |
App |
1 |
Text |
50 |
Text |
0 |
Text |
50 |
Text |
20 |
Text |
32 |
Text |
75 |
In person |
20 |
Text |
17 |
Text |
35 |
In person |
1 |
Text |
200 |
App |
70 |
App |
40 |
Text |
300 |
Phone |
260 |
App |
3 |
Text |
15 |
App |
20 |
In person |
1 |
Text |
30 |
Text |
14 |
In person |
100 |
Text |
800 |
In person |
60 |
Text |
200 |
Text |
300 |
App |
10 |
Text |
5 |
Text |
30 |
In person |
20 |
Phone |
100 |
Text |
17 |
Text |
30 |
In person |
300 |
Text |
50 |
Text |
325 |
In person |
3 |
Text |
200 |
Text |
100 |
Phone |
25 |
App |
12 |
In person |
0 |
Text |
40 |
App |
0 |
Text |
100 |
Text |
100 |
App |
76 |
Text |
200 |
App |
9 |
In person |
9 |
Text |
100 |
Text |
5 |
Text |
25 |
Text |
8 |
Text |
40 |
App |
50 |
|
20 |
Text |
200 |
App |
0 |
In person |
20 |
App |
400 |
Text |
2 |
Text |
100 |
In person |
8 |
In person |
16 |
App |
20 |
Text |
300 |
In person |
18 |
App |
30 |
In person |
100 |
In person |
2 |
Text |
100 |
Text |
150 |
Text |
500 |
In person |
50 |
Text |
50 |
Text |
50 |
Text |
60 |
Text |
40 |
In person |
30 |
Text |
300 |
In person |
59 |
Text |
100 |
Text |
13 |
In person |
40 |
Text |
20 |
Phone |
50 |
Phone |
250 |
Text |
50 |
In person |
30 |
App |
500 |
In person |
30 |
Text |
50 |
Text |
500 |
Text |
18 |
In person |
0 |
In person |
250 |
App |
100 |
Phone |
300 |
In person |
50 |
App |
77 |
Text |
300 |
Text |
150 |
Text |
250 |
In person |
5 |
Text |
|
Phone |
30 |
Text |
1000 |
Phone |
50 |
Text |
50 |
App |
5 |
Text |
50 |
Text |
100 |
Text |
34 |
App |
0 |
Text |
150 |
App |
0 |
Text |
100 |
App |
0 |
In person |
35 |
Text |
200 |
Text |
30 |
In person |
10 |
Text |
16 |
Phone |
20 |
Text |
20 |
Text |
100 |
Text |
2 |
Text |
30 |
Text |
30 |
Text |
88 |
Text |
7 |
Text |
45 |
App |
10 |
Text |
17 |
Text |
150 |
Text |
100 |
App |
100 |
App |
100 |
Text |
10 |
App |
20 |
In person |
20 |
In person |
19 |
In person |
50 |
Text |
138 |
Text |
40 |
Text |
350 |
Text |
100 |
|
5 |
App |
7 |
App |
285 |
App |
0 |
Text |
150 |
Text |
100 |
Text |
100 |
In person |
|
Text |
10 |
In person |
100 |
Text |
20 |
Text |
100 |
App |
0 |
Text |
200 |
|
100 |
Phone |
100 |
Text |
200 |
Phone |
125 |
Text |
5 |
Text |
15 |
App |
15 |
Phone |
30 |
Text |
400 |
Text |
35 |
In person |
8 |
App |
0 |
Text |
60 |
Text |
128 |
Text |
20 |
Phone |
16 |
Text |
350 |
In person |
0 |
Text |
19 |
App |
2 |
Text |
69 |
Phone |
200 |
In person |
20 |
Text |
100 |
Text |
200 |
In person |
25 |
Text |
3 |
In person |
15 |
Text |
200 |
In person |
20 |
App |
1 |
Text |
45 |
Phone |
100 |
In person |
1 |
Text |
100 |
Phone |
200 |
In person |
40 |
Text |
30 |
Text |
2 |
Text |
100 |
Text |
15 |
App |
25 |
In person |
50 |
Text |
50 |
Text |
0 |
Text |
100 |
In person |
150 |
Text |
210 |
Text |
400 |
Text |
6 |
|
25 |
Text |
100 |
App |
30 |
App |
2 |
Text |
60 |
|
200 |
In person |
25 |
In person |
135 |
Text |
10 |
Phone |
30 |
App |
10 |
App |
5 |
In person |
7 |
Text |
350 |
Text |
20 |
Text |
150 |
Text |
300 |
Text |
100 |
Phone |
3 |
Text |
50 |
App |
10 |
Text |
100 |
Text |
90 |
Text |
20 |
Text |
100 |
Text |
41 |
App |
13 |
Phone |
200 |
In person |
40 |
Text |
6 |
In person |
1 |
Text |
50 |
App |
30 |
Text |
50 |
In person |
10 |
Text |
250 |
In person |
5 |
In person |
100 |
Text |
237 |
In person |
0 |
Text |
35 |
Text |
30 |
App |
100 |
Text |
40 |
Text |
3 |
Text |
15 |
Text |
350 |
Text |
5 |
In person |
6 |
Text |
20 |
App |
5 |
In person |
50 |
Text |
65 |
Text |
20 |
Text |
15 |
In person |
5 |
App |
10 |
In person |
50 |
Text |
57 |
Text |
100 |
Text |
867 |
Text |
20 |
In person |
0 |
Text |
130 |
Text |
20 |
In person |
40 |
App |
0 |
In person |
3 |
Text |
17 |
Text |
350 |
Text |
140 |
Phone |
50 |
In person |
75 |
Text |
50 |
Text |
200 |
Text |
500 |
App |
13 |
App |
90 |
Text |
85 |
Text |
255 |
Phone |
15 |
Text |
150 |
In person |
50 |
Text |
47 |
In person |
5 |
In person |
30 |
Text |
75 |
Text |
75 |
In person |
40 |
Phone |
100 |
Text |
20 |
App |
20 |
Text |
2 |
In person |
0 |
Text |
5 |
Text |
40 |
Text |
200 |
Text |
100 |
In person |
8 |
Text |
20 |
In person |
10 |
App |
50 |
|
1 |
App |
1 |
Phone |
6 |
In person |
0 |
Text |
30 |
Text |
40 |
App |
8 |
Text |
20 |
Text |
120 |
Text |
0 |
Phone |
70 |
Text |
500 |
Phone |
150 |
App |
3 |
Text |
120 |
Text |
20 |
Text |
150 |
Text |
50 |
Text |
132 |
Text |
100 |
In person |
20 |
In person |
250 |
In person |
100 |
In person |
30 |
Text |
100 |
Text |
120 |
Text |
20 |
In person |
17 |
Text |
2 |
In person |
10 |
Text |
60 |
Text |
15 |
Text |
27 |
Text |
75 |
Text |
70 |
Text |
100 |
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