Which of the following transformations will not produce a congruent image?
1 answer:
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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!
Answer: Our required probability is 0.88.
Step-by-step explanation:
Since we have given that
Number of male students are smokers = 10
Number of male students are non smokers = 490
total number of male students = 500
Number of female students are smokers = 40
Number of female students are non smokers = 363
Total number of female students = 403
Probability that both are non smokers is given by
Hence, our required probability is 0.88.