Answer:
Step-by-step explanation:
Hello!
To see if driving heavy equipment on wet soil compresses it causing harm to future crops, the penetrability of two types of soil were measured:
Sample 1: Compressed soil
X₁: penetrability of a plot with compressed soil.
n₁= 20 plots
X[bar]₁= 2.90
S₁= 0.14
Sample 2: Intermediate soil
X₂: penetrability of a plot with intermediate soil.
n₂= 20 (with outlier) n₂= 19 plots (without outlier)
X[bar]₂= 3.34 (with outlier) X[bar]₂= 2.29 (without outlier)
S₂= 0.32 (with outlier) S₂= 0.24 (without outlier)
Outlier: 4.26
Assuming all conditions are met and ignoring the outlier in the second sample, you have to construct a 99% CI for the difference between the average penetration in the compressed soil and the intermediate soil. To do so, you have to use a t-statistic for two independent samples:
Parámeter of interest: μ₁-μ₂
Interval:
[(X[bar]₁-X[bar]₂)±
*Sa
]


[(2.90-2.29)±2.715*0.20
]
[0.436; 0.784]
I hope this helps!
We are given dimensions of rectangular bedroom = length of 5m and width 3 m.
Also scale drawing of factor 1/50 of the original dimension.
In order to find the dimensions of scale drawing, we need to multiply scale factor by each dimension.
Therefore, length of the scale drawing is 5 * 1/50 = 1/10 m and
Let us convert it in centimeter now.
1 m = 100 cm
1/10 m = 100 * 1/10 = 10cm.
Width of the scale drawing = 3 * 1/50 = 3/50 m.
100*3/50 = 6 cm.
Therefore, the dimensions of a scale drawing of Elenas bedroom is length 10cm and width 6cm.
20% 25-20 equals 5. 5 divided by 20 equals .2 or 20%