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brianamarialove15
16.06.2020 •
Mathematics
Kim wants to watch • • • Star Factor with the children the News and Weather a film when the children are in bed. The children will go to bed at 9 pm. She knows this takes 30 minutes. Kim wants to eat the meal and clear up before Star Factor. She plans to phone for the meal 1 hour and 45 minutes before Star Factor. (a) Make a time plan for Kim. Remember to check your time plan.
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Ответ:
The z-score of a male bird of this species with a weight of 29.37 grams is 1.7.
Step-by-step explanation:
We are given that the weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation of 1.1 grams.
Let X = weights of adult male birds of a certain species
So, X ~ Normal(
)
The z score probability distribution for normal distribution is given by;
Z =
~ N(0,1)
where,
= population mean weight = 27.5 grams
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
SO, the z-score of a male bird of this species with a weight of 29.37 grams is given by;
Z score =
= ![\frac{ 29.37-27.5}{1.1 } }](/tpl/images/0641/6873/1ed18.png)
= 1.7