Answer:
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.
<u><em>Let X = weights of adult male birds of a certain species</em></u>
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
= standard deviation = 1.1 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;
<u>Z score</u> = = 
= <u>1.7</u>
Answer to first part 1: First you obtain number of intervals you would like to have by getting the square root of the total number of observations. In this case, square root of 14 = 3.74; round up and use 4.0.
Answer to Second part: 2: The interval width is then obtained by dividing the range by the number of intervals. For this case, interval width = (42-9)/4 = 8.25. This can be rounded up to the convenient evenfigure of 10.0.
Hope this helps!!!!
Answer:
-3
3/2
Step-by-step explanation:
Y intercep is the point where the line intercepts the y axis. That is 3 in this graph.
slope. Choose two points. For the sake of explainin, I am choosing
(-3,1)
and (0,3). That’s the y intercept!!
The slope is the rate of increase. We have to measure it like we do with stairs. The rise divided by the run
the rise is 2. See the picture. The run is 3(change in x) the x increases by 3 between 2 integer points while the y changes by 3(change in y —>3 minus 1)
Rise= 3
run =2
Slope=rise/run=3/2
