a.
To find:The value of
a.
Answer to Problem 16E
The value of
Explanation of Solution
Given information: The data is shown below.
x | 12 | 17 | 3 | 17 | 16 | 11 | 14 | 9 |
y | 13 | 14 | 16 | 13 | 14 | 14 | 13 | 14 |
Calculation:
The MINITAB is shown below,
Figure-1
From Figure-1 it is clear that the value of
b.
To find: The value of
b.
Answer to Problem 16E
The value of
Explanation of Solution
Given information: The data is shown below.
x | 12 | 17 | 3 | 17 | 16 | 11 | 14 | 9 |
y | 13 | 14 | 16 | 13 | 14 | 14 | 13 | 14 |
Calculation:
From Figure-1 it is clear that the value of
c.
To find: The value of squares for
c.
Answer to Problem 16E
The value of squares for
Explanation of Solution
Given information: The data is shown below.
x | 12 | 17 | 3 | 17 | 16 | 11 | 14 | 9 |
y | 13 | 14 | 16 | 13 | 14 | 14 | 13 | 14 |
Calculation:
The table is shown below.
12 | -0.38 | 0.1444 |
17 | 4.62 | 21.3444 |
3 | -9.38 | 87.9844 |
17 | 4.62 | 21.3444 |
16 | 3.62 | 13.1044 |
11 | -1.38 | 1.9044 |
14 | 1.62 | 2.6244 |
9 | -3.38 | 11.4244 |
Thus, the value of squares for
d.
To find:The value of standard error of
d.
Answer to Problem 16E
The value of standard error of
Explanation of Solution
Given information: The data is shown below.
x | 12 | 17 | 3 | 17 | 16 | 11 | 14 | 9 |
y | 13 | 14 | 16 | 13 | 14 | 14 | 13 | 14 |
Calculation:
The value of
Thus, the value of standard error of
e.
To find:The critical value.
e.
Answer to Problem 16E
The critical value is
Explanation of Solution
Given information: The data is shown below.
x | 12 | 17 | 3 | 17 | 16 | 11 | 14 | 9 |
y | 13 | 14 | 16 | 13 | 14 | 14 | 13 | 14 |
Calculation:
The degree of freedom is,
The critical value is
f.
To find:The margin of error.
f.
Answer to Problem 16E
The margin of error is
Explanation of Solution
Given information: The data is shown below.
x | 12 | 17 | 3 | 17 | 16 | 11 | 14 | 9 |
y | 13 | 14 | 16 | 13 | 14 | 14 | 13 | 14 |
Calculation:
The margin of error is,
Thus, the margin of error is
g.
To find:The confidence interval for the data.
g.
Answer to Problem 16E
The confidence interval for the data is
Explanation of Solution
Given information: The data is shown below.
x | 12 | 17 | 3 | 17 | 16 | 11 | 14 | 9 |
y | 13 | 14 | 16 | 13 | 14 | 14 | 13 | 14 |
Calculation:
The confidence interval is,
Thus, the confidence interval for the data is
h.
To explain:The test for the hypothesis
h.
Explanation of Solution
Given information: The data is shown below.
x | 12 | 17 | 3 | 17 | 16 | 11 | 14 | 9 |
y | 13 | 14 | 16 | 13 | 14 | 14 | 13 | 14 |
Calculation:
The test statistics is,
Since, the test statistic is greater than the critical value.
Thus, the null hypothesis is rejected.
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Chapter 13 Solutions
Elementary Statistics
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