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The phase of inferential statistics which is sometimes considered to be the most crucial because errors in this phase are the most difficult to correct is "data gathering".
<h3>What is
inferential statistics?</h3>
Inferential statistics are frequently employed to compare treatment group differences.
Some characteristics of inferential statistics are-
- Inferential statistics compare treatments groups and make conclusions about the greater population of participants using measures from the experiment's sample of subjects.
- Inferential statistics aids in the development of explanations for a condition or phenomenon.
- It enables you to draw conclusions on extrapolations, which distinguishes it from descriptive statistics, which simply summarize the information that has been measured.
- There are numerous varieties of inferential statistics, each with its own set of research design & sample characteristics.
- To select the correct statistical test of their experiment, researchers should reference the numerous texts about experimental design and statistics.
To know more about the inferential statistics, here
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Complete question :
The 100m dah times in the girl's track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds.
Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?
Answer:
21 runners
Step-by-step explanation:
Mean, μ = 13 seconds
Standard deviation, σ = 0.3
Lana's race time = 13.2
We find the proportion of runners who had race time above 13.2 ;
Proportion of who had race tune above 13.2
P(x > 13.2)
Obtain the Zscore
Zscore = (x - μ) / σ
Z = (13.2 - 13) / 0.3
Zscore = 0.2 / 0.3 = 0.6667
P(Z > 0.6667) = 0.25239 (Z probability calculator)
This is about 0.25239 * 100 = 25.24% = 25% (nearest percent)
Hence, Number of runners Lana beat = 25% of total runners ;
0.25 * 84 = 21
Hence, Lana beat about 21 runners
Answer:
X+y=30
X=30-y
Z=yx
Z=y(30-y)
D/dy
z=30–2y
At max 30–2y=0
2y=30 Y=15
Therefore x=15
Step-by-step explanation:
