Based on Chapter 7 of ModernDive. Code for Quiz 11.
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The quiz assumes that you have watched the videos and worked through the examples in Chapter 7 of ModernDive
Question:
7.2.4 in Modern Dive with different sample sizes and repetitions
Make sure you have installed and loaded the tidyverse and the moderndive packages
*Fill in the blanks
Modify the code for comparing different sample sizes from the virtual bowl
Segment 1: sample size = 28
1.a) Take 1150 samples of size of 28 instead of 1000 replicates of size 25 from the bowl dataset. Assign the output to virtual_samples_28
1.b) Compute resulting 1150 replicates of proportion red
start with virtual_samples_28 THEN
group_by replicate THEN
create variable red equal to the sum of all the red balls
create variable prop_red equal to variable red / 28
Assign the output to virtual_prop_red_28
1.c) Plot distribution of virtual_prop_red_28 via a histogram
use labs to
label x axis = “Proportion of 28 balls that were red”
create title = “28”
Segment 2: sample size = 53
2.a) Take 1150 samples of size of 53 instead of 1000 replicates of size 50. Assign the output to virtual_samples_53
2.b) Compute resulting 1150 replicates of proportion red
start with virtual_samples_53 THEN
group_by replicate THEN
*create variable red equal to the sum of all the red balls
create variable prop_red equal to variable red / 53
Assign the output to virtual_prop_red_53
2.c) Plot distribution of virtual_prop_red_53 via a histogram use labs to
label x axis = “Proportion of 53 balls that were red”
create title = “53”
Segment 3: sample size = 113
3.a) Take 1150 samples of size of 118 instead of 1000 replicates of size 50. Assign the output to virtual_samples_118
3.b) Compute resulting 1150 replicates of proportion red
start with virtual_samples_118 THEN
group_by replicate THEN
create variable red equal to the sum of all the red balls
create variable prop_red equal to variable red / 118
Assign the output to virtual_prop_red_118
3.c) Plot distribution of virtual_prop_red_118 via a histogram use labs to
label x axis = “Proportion of 118 balls that were red”
create title = “118”
Calculate the standard deviations for your three sets of 1120 values of prop_red using the standard deviation
n = 28
# A tibble: 1 × 1
sd
<dbl>
1 0.0903
n = 53
# A tibble: 1 × 1
sd
<dbl>
1 0.0661
n = 118
# A tibble: 1 × 1
sd
<dbl>
1 0.0430
The distribution with sample size, n = 118, has the smallest standard deviation (spread) around the estimated proportion of red balls.