Answer:
8.2+/-0.25
= ( 7.95, 8.45) years
the 95% confidence interval (a,b) = (7.95, 8.45) years
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 8.2 years
Standard deviation r = 1.1 years
Number of samples n = 75
Confidence interval = 95%
z value(at 95% confidence) = 1.96
Substituting the values we have;
8.2+/-1.96(1.1/√75)
8.2+/-1.96(0.127017059221)
8.2+/-0.248953436074
8.2+/-0.25
= ( 7.95, 8.45)
Therefore the 95% confidence interval (a,b) = (7.95, 8.45) years
Answer:
26. length=7cm width=4cm
27. length=12cm width=5cm
28. length=12 cm width=9cm
29. length=7 cm
30. length=2cm
The slope-intercept form: y = mx + b
We have the slope m = 9, therefore: y = 9x + b.
Next. We have the table:
x | -5 | -2 | 1 | 3 | 4 |
y |-46|-19| 8 |26|35|
(1, 8) → x = 1, y = 8
substitute the values of x and y to the equation:
8 = 9(1) + b
8 = 9 + b |-9
b = -1
Answer: y = 9x - 1 → y-intercept is -1.
