The velocity of a particle moving along a line is a function of time given by v ( t ) = 88 t 2 t 2 + 1 . Find the distance that the particle has traveled after t = 5 .
The velocity of a particle moving along a line is a function of time given by v ( t ) = 88 t 2 t 2 + 1 . Find the distance that the particle has traveled after t = 5 .
The velocity of a particle moving along a line is a function of time given by
v
(
t
)
=
88
t
2
t
2
+
1
. Find the distance that the particle has traveled after
t
=
5
.
Example 4 (Part 2) We can use Statkey to take 50 different random samples of size 20 each, find the mean of
each sample, and compute a confidence interval for each one. The graph of the sampling distribution of the means
is on the left below, and that of the 50 confidence intervals is on the right.
1. What does each dot on the left hand dotplot represent?
StatKey Sampling Distribution for a Mean
Percent with Internet Access (Countries) ▾
Show Data Table Edit Data
Choose samples of size n =
20
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Sampling Dotplot of Mean
Left Tail Two-Tail Right Tail
60
50
40
40
30
20
20
10
samples = 50
mean = 41.626
std. error = 5.089
:
.:
:
::
0
25
30
35
40
45
50
55
60
41.626
Data Plots
Confidence Intervals
95%->
Confidence Intervals
Coverage
48/50 = 96%
20
40
60
80
2. Circle the confidence intervals that failed to capture the true mean.
3. Circle the sample means that produced those…
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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Differential Equation | MIT 18.01SC Single Variable Calculus, Fall 2010; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=HaOHUfymsuk;License: Standard YouTube License, CC-BY