Some help would be appreciated
1 answer:
max = 5, min = -1
mid = (5-1)/2 = 2
{observe for sinx,
max = 1, min, = -1, mid=0}
since mid=2 we can let the function
y=a•sin(bx+c)+2
2a=max-min=6
a=3
y=3sin(bx+c)+2
the graph cross (0,2) so
2=3sin(c)+2
3sin(c)=0
c=0 or c=π
since the graph go down after (0,2), then we choose c=π.
max=5 with x=-1, so
5=3sin(-b+π)+2
sin(-b+π)=1
b=π/2
at last the get the exact equation, that's
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Answer:
a. Left Skewed
b. More students scored above 70
c. No
d. 0.0008
e. standard deviation increases by 1.4142
Step-by-step explanation:
a. The distribution is Left skewed. The maximum possible score is 100 and the mean is 70, hence, there is a barrier preventing a long right tail.
-The scores to the left is only 20, the left therefore is longer.
-The median, 74, is higher than the mean, 70, thus the mean is more left leaning.
b.More students will score more than 70.
-the median is 74 suggesting that 50% plus have scored 74points +
- Given the mean is 70 points, it's therefore obvious that more than 50% of the students have score more than 70 points.
c. No. This is not a normal distribution therefore we cannot calculate the probability that a randomly chosen student scored above 75 using this distribution.
d. The sample size n is large, n>30, so we can use the central limit theorem to approximate the probability:
e. The standard deviation will increase by the square root of the decreament :
#Standard deviation increases by 1.4142